GDP and Business Environment of China

Gross domestic product and Business Environment of China Diagram China is the most seasoned constant significant world progress, with records going back around 3,500 years. Progressive traditions built up an arrangement of bureaucratic control that gave the agrarian-based Chinese a preferred position over neighboring migrant and slope societies. Chinese progress was additionally reinforced by the advancement of a Confucian state belief system and a typical composed language that crossed over the holes among the countrys numerous nearby dialects and lingos. At whatever point China was vanquished by traveling clans, as it was by the Mongols in the thirteenth century, the champions at some point or another received the methods of the higher Chinese progress and set up the organization with Chinese. The last administration was built up in 1644, when the Manchus toppled the local Ming line and set up the Qing (Ching) tradition with Beijing as its capital. At incredible cost in blood and fortune, the Manchus throughout the following 50 years dealt with many fringe regions, including Xinjiang, Yunnan, Tibet, Mongolia, and Taiwan. The accomplishment of the early Qing time frame depended on the blend of Manchu military ability and conventional Chinese bureaucratic aptitudes. During the nineteenth century, Qing control debilitated, and thriving lessened. China endured huge social struggle, financial stagnation, unstable populace development, and Western infiltration and impact. The Taiping and Nian uprisings, alongside a Russian-upheld Muslim dissenter development in Xinjiang, depleted Chinese assets and nearly toppled the line. Englands want to proceed with its illicit opium exchange with China slammed into majestic declarations precluding the addictive medication, and the First Opiu m War emitted in 1840. China lost the war; in this manner, Britain and other Western forces, including the United States, coercively involved concessions and increased unique business benefits. Hong Kong was surrendered to Britain in 1842 under the Treaty of Nanking, and in 1898, when the Opium Wars at long last finished, Britain executed a 99-year rent of the New Territories, altogether extending the size of the Hong Kong state. As time went on, the Western forces, employing prevalent military innovation, increased progressively monetary and political benefits. Reformist Chinese authorities contended for the selection of Western innovation to fortify the line and counter Western advances, yet the Qing court made light of both the Western danger and the advantages of Western innovation. In Beijing, on October 1, 1949, Mao Zedong declared the establishing of the Peoples Republic of China (P.R.C.). The new government expected control of a people depleted by two ages of war and social clash, and an economy attacked by high swelling and disturbed transportation joins. Another political and financial request displayed on the Soviet model was immediately introduced. In the mid 1950s, China embraced an enormous financial and social reproduction program. The new pioneers increased famous help by checking swelling, reestablishing the economy, and modifying many war-harmed mechanical plants. The CCPs authority ventured into pretty much every part of Chinese life. Gathering control was guaranteed by huge, politically steadfast security and military powers; an administration device receptive to party course; and the situation of gathering individuals into authority positions in labor, womens, and different mass associations. Common assets Coal, iron metal, oil, petroleum gas, mercury, tin, tungsten, antimony, manganese, molybdenum, vanadium, magnetite, aluminum, lead, zinc, uranium, hydropower potential (universes biggest). Agribusiness: Products Among the universes biggest makers of rice, wheat, potatoes, corn, peanuts, tea, millet, grain; business crops incorporate cotton, different strands, apples, oilseeds, pork and fish; produces assortment of domesticated animals items. Industry: Types Mining and metal handling, iron, steel, aluminum, and different metals, coal; machine building; deadly implements; materials and clothing; oil; concrete; synthetics; manures; shopper items, including footwear, toys, and gadgets; food preparing; transportation gear, including autos, rail vehicles and trains, boats, and airplane; media communications hardware, business space dispatch vehicles, satellites. Exchange 2008 Fares $1.5 trillion: electrical and other apparatus, including information handling gear, attire, materials, iron and steel, optical and clinical hardware. Business Environment in China Action markers Show the working of the economy all in all. Buyer markers Show the expansion in the interest of customer item however the joblessness is as yet rising. Business pointers Show that the overall revenue is diminishing however the inventories are expanding yoy. Outside markers Show that the import is expanding quicker than the fare of the nation. Swelling markers Show that the buyer value expansion is gotten negative however center cost are not influenced because of this. Budgetary market pointers Shows that financial specialist are contributing however sit tight for future loan cost cut so they can get more reserve at less expensive pace of intrigue. Investigation and Interpretation We can investigation from the first and fourth graph that the GDP of China is developing from last 5-6 years however it show the decrease in the 2008-09 that may be a result of the worldwide downturn going on. All China has developing economy which set the benchmark for the other nation. We can examination in the second and third diagram that the urban fixed speculation is fluctuating from last 5-6 years in a single year it increment and in the other year it decline. In any case, that may be the inner condition and request and flexibly impact change the general interest in the nation. Investigation and Interpretation We can investigation from the first graph that the retail deals is expanding a seemingly endless amount of time after year and that is acceptable sign for the economy just as for the business condition is concern since it will create new work and wellspring of pay for the individuals of China. We can investigation from the second diagram that per capital salary and utilization is fluctuating from last 5-multi year that may be expected the changing in the per capital pay and the value list of the nation. Yet, another constructive sign we locate that more often than not utilization is less that the salary which implies the individuals can spare some sum from their pay which is acceptable sign for any nation. We can examination from the third and fourth graph that the joblessness is expanding a seemingly endless amount of time after year and then again in the fourth outline the work is fluctuating yet more often than not it is expanding. So we can find that the joblessness is expanding a result of expanding in populace more that the expanding pace of work. Examination and Interpretation We can examination from the first and second diagram that the modern yield is expanding a seemingly endless amount of time after year which is acceptable sign for the development of the economy on the grounds that as yield expanding which implies the deals will increment, on the off chance that deals will build, at that point more salary will produce, at that point it will build cash stream in the market. So every one of these things will affected due to expanding yield of the business. We can investigation from the third outline that the inventories of the business is expanding quite a long time after year that may be acceptable just as terrible sign for the business since it has their own advantage like steady flexibly and its own hazard like blockage of assets in the stock. We can examination from the fourth outline that the business has procuring a decent overall revenue from last 5-6 years which is acceptable sign for the development of the business in China and an open door for other to work together in the China. Investigation and Interpretation We can investigation from the first and fourth graph that import and fare is expanding quite a long time after year in sum however in the event that we discover the expansion in rate, at that point we find that the expansion and lessening is fluctuating from last 5-multi year. We can examination from the second and third outline that fare is expanding more that the fare in last 4-5 years which implies it serves to expanding the parity of installment of the economy of China. Examination and Interpretation We can examination from the entirety of the above diagram that the cost of the considerable number of wares whether they are capital products or house hold great is expanding quite a long time after year and it is consistently state that in the developing economy the costs are continually expanding with the development of the economy. Examination and Interpretation We can examination from the first and second outline that the administration has given more pace of come back to its financial specialist quite a long time after year which implies the administration need to expand the interest in the nation. We can investigation from the third and fourth graph that financing cost are diminishing quite a long time after year which implies the individuals can get cash at less expensive loan fee and afterward can get more return by putting resources into various wellsprings of salary. JAPAN Outline Legend characteristics the production of Japan to the sun goddess, from whom the rulers were dropped. The first of them was Jimmu, expected to have climbed the seat in 660 B.C. a convention that established authority principle until 1945. Recorded Japanese history starts in roughly A.D. 400, when the Yamato faction, in the long run situated in Kyoto, figured out how to deal with other family bunches in focal and western Japan. Contact with Korea acquainted Buddhism with Japan at about this time. Through the 700s Japan was quite affected by China, and the Yamato group set up a royal court like that of China. In the following hundreds of years, the authority of the majestic court was subverted as incredible upper class families competed for control. Simultaneously, warrior groups were ascending to unmistakable quality as a particular class known as samurai. In 1192, the Minamoto family set up a military government under their pioneer, Yoritomo. He was assigned shogun (military tyrant). For the accompanying 700 years, shoguns

Microeconomics Perfect competition

Question: Talk about the Microeconomics Perfect rivalry. Answer: Benefit amplification under immaculate rivalry According to the idea of microeconomics, so as to boost the benefit under the ideal rivalry, the apple-producing firm requires to set the value level where minor income is comparable to the peripheral expense. MR is the slant of the minor income bend and this is proportional to the value level and the interest bend. Under short run, the apple-fabricating firm would be conceivable to make monetary benefits, which would be equivalent to positive, negative or zero. In this unique circumstance, it very well may be referenced that on the off chance that the value level is higher than the normal all out cost, at that point the firm would cause misfortune inside the business. Figure 1: Perfect rivalry under immaculate rivalry (Source: Created by creator) From the above figure, it tends to be referenced that under short run, the apple-producing firm would make benefit where value level, for example, P is higher than the normal cost that is C. In this way, this is the point which is accepted as the ideal level if there should be an occurrence of get apples. Moreover, it tends to be referenced that the zone PCBA indicates the supernormal benefit and territory COQB signifies the region of ordinary gainfulness. Then again, Koschker and Most (2016) included that under since quite a while ago run, the apple producing firm would make typical benefits. In this way, the flexibly bend would be moved to right and the balance cost would be diminished. Accordingly, the financial gainfulness would be diminished until it gets zero. According to the announcement of Makowski (2014), in the event that there emerge any wastefulness inside the flawlessly serious market, at that point the administration requires to intercede. Government attempts to relieve the disparities by forcing tax assessment or by giving endowments. Therefore, the market will be splendidly distributed. References Koschker, S. furthermore, Mst, D., 2016. Immaculate rivalry versus vital conduct models to determine power costs and the impact of renewables on advertise power.OR spectrum,38(3), pp.661-686. Makowski, L., 2014. Flawless Competition, the Profit Criterion, and the Organiza-tion of Economic Activity.Journal of Economic Theory,22, pp.105-25.

Success Stories of Bloggers Earning More Than $100K a Year

Success Stories of Bloggers Earning More Than $100K a Year Blogging has certainly come a very long way. What started out originally as a means of keeping an online journal or diary has now become a lucrative enterprise. People actually earn money from blogging, with some bloggers earning more than what most people in conventional jobs earn. In fact, it has become a source of livelihood for some, with bloggers viewing it as their bread and butter.But as lucrative as blogging is, only a few actually make a lot of money out of it. Many earn money, yes, but they only get around a hundred dollars a month. That is certainly not an amount that would be enough to convince anyone to give up their day jobs and devote their time solely to blogging. © Shutterstock | Stock-AssoAmong these thousands upon thousands of bloggers, there are those who are a cut above the rest, particularly in terms of pay grade. These are the bloggers that earn hundreds of thousands of dollars annually.TOP EARNING BLOGSLet us take a brief look at some of the top-earning blogs today.The Huffington Post. Founded by Arianna Huffington on May 9, 2005, The Huffington Post is a blog that has also evolved into an online news aggregator. Today, reportedly earns $2.5 million per month. Its main source of income is pay-per-click advertising.TechCrunch. TechCrunch is now one of the most popular publisher of technology industry news online. In 2007, it registered an annual income of $2.4 million. Today, it is estimated to earn as much as $800,000 monthly. It gets its income primarily from banner ads.Mashable. When Pete Cashmore launched Mashable in 2005, it focused on digital media. He stuck to that niche until Mashable became the go-to for anything related to di gital and social media. It is reportedly earning $600,000 monthly, also primarily from banner advertising.PerezHilton. One of the most visited and influential blogs containing gossip items about Hollywood stars and celebrities, PerezHilton.com was originally started by Mario Lavandeira in 2014 as a hobby where he just wanted to talk about celebrities because he was interested in them. Today, its monthly income is around $450,000 per month.Engadget. If you want to read about gadgets and consumer electronics, one of the more popular blogs where you can get this information is Engadget.com. Its multilingual feature is contributory to the large amount of traffic that it generates. The estimated monthly earnings on the blog amount to $300,000, also mostly from banner advertising.Lifehacker. Launched in January 2005, Lifehacker featured life hacks or tips and tricks for life in general, as well as topics on software and computer programs. Visitors keep coming back to this weblog for its t ips and downloads that supposedly let them increase their productivity both at work and at play. It is said to be earning $110,000 per month.The blogs mentioned above are the most well-known websites today but, at one point, they all started out as simple blogs.SUCCESS STORIES OF HIGH-EARNER BLOGGERSHave you ever wondered about the road that today’s most successful (read: most profitable) bloggers have taken in their journey to become self-sustaining?Everyone starts from somewhere, and these bloggers started out earning small amounts in the beginning, until they have seen their earning power go up over the years. But what happened in between that facilitated this increase?There are literally millions of blogs online today, and a lot of them are very good earners, with their annual income surpassing the $100,000 mark. Below are a few of these profitable blogs and brief snippets of how they started earning that amount of money.Pat Flynn of SmartPassiveIncome.comStarted In: 2008Blogg ing Area: Online Passive IncomeTraffic Analysis: Pat’s blog receives a big part of its traffic from referrals from other sites. More than 5,100 domains are linking to smartpassiveincome.com. However, it still ranks well in search engines with an Alexa rank of 7,139. It also has a reasonable social following with over 112,000 twitter followers.Revenue Analysis:Pat Flynn recently passed the $150,000 a month mark on his blog “The Smart Passive Income Blog with Pat Flynn”. For the month of April 2016, Smart Passive Income (SPI) earned $160,123.99. For the 12-month period from April 2015 to April 2016, the total net income is $1.629 million. You can visit the site directly to find out how much he is earning, because his monthly income reports appear on the blog.Aside from income earned from advertising and affiliate earnings, Pat also earns additional income from speaking gigs and lectures. The blog also features podcasts and a mobile app. Not to mention the SPI TV episodes hosted by Pat Flynn himself, where he interviews Of course, there is also his best-selling books, “How To Test Your Next Business Idea So You Don’t Waste Your Time Or Money” and “Will It Fly?”. The most recent income source is his newly-launched audiobook, targeting an entirely separate niche of audiobook users.Key Learnings:Pat calls himself the “Crash test dummy of online business” and encourages readers to learn from his mistakes. He is also a good lesson on diversifying sources of income. As seen above, Pat has a large number of income sources each of which helps increase his revenue and traffic. Another lesson from Pat is on consistency. He has been on it for more than 6 years and the progress is visible even on the earnings page. The final lesson is on personal branding. There is a picture of Pat’s face on almost every page on the website. As a result, people know him and his personal brand is far much bigger than any of his blogs.Kat Kinsman of TastingTable.comStarte d In: October 2008Blogging Area: FoodTraffic Analysis: Kat’s blog was one of the fastest growing blogs in the industry having received more than 300,000 subscribers in the first 20 months of operation. This blog won the EPPY Best Food Website award in 2011. In 2012 NS 2013, the website received more than 1 million monthly unique visitors.Revenue Analysis:Food bloggers are also becoming increasingly popular, and one of the most notable foodies who blog is Kat Kinsman. She started out doing all sorts of things, from being a metal smith to an office manager. At one point, she also tried her hand at art direction in several publications. Then she became a webmaster of the website Yoo-hoo for seven years, doing everything from design, database management and programming, community management, analytics, online marketing, and content creation.Other than advertisements on the website, Kat is an author of a book published by Harper Collins and titled “Hi, Anxiety” which also contribut es to the income. She also earns money as a resource speaker in speaking engagements covering various topics ranging from food and drinks to social media.Key Learnings:It was during her stint with CNN that Kat was assigned an editor-in-chief slot at Tasting Table. A self-confessed “writer, editor and talker”, Kinsman has managed to become a multimedia celebrity, appearing on TV and radio shows as a guest and sometime host thanks to her passion in all she does.Abby of JustAGirlAndHerBlog.comStarted In: January 2013Blogging Area: Money, Planning and OrganizationTraffic Analysis: With close to 450,000 page views in April 2016, Abby has seen quite some growth in traffic in the three years that the blog has been in existence. Having started as a creative outlet for her writing, the blog started small and it has been able to grow and achieve more than 200,000 users.Revenue Analysis:In April 2016, this blog earned a total of $48,900. A big fraction of this income was from the Book Boss course that seeks to train buyers on how to launch a profitable book in less than 90 days. Other sources of income include affiliate sources like Bluehost referrals and Amazon affiliates, and an eBook and course on blogging.Key Learnings:Abby lists three passions on her blog: organizing, decorating, and helping others create thriving online businesses. She combined all these three in her blog, which she launched “on a whim” in January 2013. That makes JustAGirlAndHerBlog relatively new, which is quite impressive, considering how it hit the $30,000 a month mark after just two years.The blog has grown rapidly, and has now become a family business, with Abby and her husband working on it on a full time basis. It was a long road for her and her husband as they learned their way around blogging, but they had a very good foundation: creating good content. The blog contains posts about organization, productivity, and even simply DIY decorating tips.John Lee Dumas of Eofire.comStarted In: September 2012Blogging Area: Business and EntrepreneurshipTraffic Analysis: Eofire.com has an Alexa rank of 26,967, which is impressive for a site that has only been around for less than 5 years. In the five years, it has been able to get more than 32,000 twitter followers and more than 1,800 links to the content on the site. Most of the site’s visitors come to listen to the podcasts and also to read the posts on the site.Revenue Analysis: This site is very impressive when it comes to revenues that have been generated so far. Income from products and services sold by the blog in April 2016 was $199,714 with The Freedom Journal (book) topping the list of products with a gross revenue of $35,806. Affiliate income for April was $23,705 bringing the total gross income to $221,365.Key Learnings: Podcasting is a good avenue for bloggers to try. John Lee Dumas having earned sponsorship income amounting to $133,500 in March and April alone, there seems to be good money in podcasts. An other lesson is the importance of personal branding. The graphical elements are similar all over the website. Johns’s face also features prominently on the site.Lindsay Ostrom of PinchofYum.comStarted In: September 2011Blogging Area: FoodTraffic Analysis: PinchofYum.com received over 3 million sessions in March 2016 with more than 4.2 million pageviews. The biggest portion of the traffic was organic traffic from Google and direct traffic taking the number two spot. Despite having been around for only five years, this site has an Alexa page rank of 17,789 and more than 4,200 domains are linking to it. When it comes to the social standing, Pinch of Yum has 7,920 followers on Twitter.Revenue Analysis: In April 2016, Pinch of yum was able to earn $57,686.15. The biggest chunk of this revenue came from advertisements though some of it was from affiliates and sponsored posts. There was also something from food photography workshops where Lindsay teaches others to take food photographs.K ey Learnings: The biggest lesson from Lindsay is the importance of visuals. There was a big spike in traffic on the site when Lindsay gave emphasis on the photographs on the site. Still on photographs, the importance of not ignoring Pinterest like most other bloggers comes up strongly. There is also the lesson that standing the test of time is a vital part of the equation. Over the years the blog has been in operation, Lindsay has been injecting hundreds of blog posts and high quality food pictures which have had a big positive impact on the income and traffic.Michele Gardener of MakingSenseofCents.comStarted In: October 2008Blogging Area: Money and SavingsTraffic Analysis: Being in the list of top earning blogs, makingsenseofcents.com has also received a good number of visitors in April. The website is updated about 8 â€" 12 times every month which means that there is sufficient new content for visitors every few days. Michele has more than 300,000 subscribers, which makes it easy to achieve good traffic numbers.Revenue Analysis: When it comes to revenue, Michele was able to make $71,761.30 in April, a figure that’s slightly lower than the $72,196 earned in March. Up to April 2016, the blog has earned $238,346. A big chunk of this income is from affiliate promotions. Other sources of income include advertising and products and services.Key Learnings: One of the lessons to learn from Michele is the importance of simplicity. She simplifies complex topics and explains them in a simple way that can be easily understood by laymen. As a result, more people can understand her hence more traffic. There is also the issue of focusing on a specific demographic like in her case, Michele targets millennials seeking to get out of debt.Becky Mansfield of YourModernFamily.comStarted In: January 2013Blogging Area: ParentingTraffic Analysis: Since the first post went live in early 2013, yourmodernfamily.com has been attracting readers to become one of the largest motherhood blogs in the world. This blog has more than a thousand posts and hundreds of thousands active readers from all over the world. The site has an Alexa page rank of 84,087 and 3,700 followers on Twitter. Close to 500 domains are linking to this site. On Pinterest, Becky has over 24,000 followers.Revenue Analysis: In March 2016, Your Modern Family earned a gross income of $28,200. Expenses for the month were $6,500 to bring the net income to $21,700. This revenue is from advertising, affiliate marketing and the same of her own products and services. Becky is an author of a number of books on parenting which complement income from the blog.Key Learnings: The biggest lesson we can learn from Becky is that focus should go to your blog’s readers. They should be your main priority. She doesn’t try to sell them gadgets or preach about sales funnels. She aims at helpings moms deal with problems faced as they try to run families. The result is a deep connection that has enabled her earn tru st and a loyal following.Lisa Weber of CelebrityBabyScoop.comStarted In: September 2006Blogging Area: Celebrity ParentingTraffic Analysis: Owing to the unique nature of the blog, Lisa is able to get large volumes of traffic from her visitors. This is especially after she interviews famous celebrities and features the interview in the blog. The blog has been featured in top media outlets such as the USA Today, CNN, TMZ and many more hence it doesn’t come as a surprise that it was able to get more than 3.2 million page views monthly by the end of the first 3 years in operation.Revenue Analysis: As of 2015, this blog was making $300,000 annually and it looks like the trend is not going to stop anytime soon. Lisa adores babies, and she also enjoys following the lives of celebrities. So why not mix both? It started out as a hobby and she mixed these two passions when she launched her blog in September of 2006. It appears that she wasn’t the only one with a keen interest on celebritie s’ babies, as the number of visitors to her blog increased to the point that she felt confident about monetizing her blog, starting primarily with banner ads. Soon, her blog became a sort of community, with returning visitors making up the bulk of her traffic. She considers them to be her main source of traffic, in addition to social media and search engines.Key Learnings: Lisa shares that it took two years until her blog started making a profit enough for her to quit her nursing job and be a full-time blogger. She focused on creating good content, starting with talking about celebrity babies which makes for a good lesson on perseverance and consistency in the quality of output regardless of whether or not we are making money. Despite starting with news about celebrity babies, the blog evolved to become something that gives information to moms looking for advice and information on parenthood.[slideshare id=38977123doc=inbound-2014-stop-marketing-start-hacking-slideshare-1409111031 36-phpapp01w=710h=400]LESSONS ON BUILDING A HIGH INCOME BLOGWe can learn a few lessons just by taking a quick look at the journeys and success stories of these bloggers.First, making a living from blogging requires a lot of hard work. You have to put in a lot of hours doing your research, creating good content, reaching out to your audience, building up your network, and keeping them. Some bloggers are of the belief that all they need is to set up an attractive blog, upload photos and write a blog post, and the rest will fall into place. No, there is no shortcuts to this, if you want to start earning more than a respectable amount from your blog.Second, it also calls for a lot of patience. You will notice that these successful bloggers did not start earning money overnight. It took them at least a couple of years before they started seeing the number of digits of their earnings go up. They did not quit or give up so easily. During the first few months, they did not even earn much an d even sustained losses. Did they give up? No. This persistence is something that every blogger should posses, especially when they want to reach the point where they can resign from their stable jobs and transition to full-time blogging.Third, you have to offer something of value to the audience. If you expect to earn value, then you should also make sure you have something to offer. You cannot expect to get paid for something that will not be of use to anyone, do you?Fourth, consider diversification. Making money through blogging can be accomplished in several ways. While it is true that they have identified a primary source of income, they were not against trying out other ways to monetize their blog. They did not rely entirely on banner ads or affiliate links. They tried looking for other ways to make money through their blog.Fifth, they never stopped learning. For them, blogging was a continuous learning process. No one is born as a blogger, knowing everything about it right of f the bat. That is why they had met with several stumbling blocks in the beginning. But they were willing to learn, and they are still learning, to this day. This is actually a must, considering how blogging is continuously evolving with technology. What we know of blogging today may be different a few years from now. If you want to be able to earn money from your blog by then, you should continue learning.TIPS FOR PROFITABLE BLOGGINGWe can delve into the technical aspects of blogging, but here are some tips that may sound very simple, but actually make a lot of difference. There are a lot of bloggers who want to monetize their blog, but are having a lot of trouble doing so.Let us listen to the experts â€" the bloggers who are actually making big bucks out of their blogs â€"and hear what they have to say.Find a niche that you like or are interested in. You have to be personally interested in it. It should also be something that you know or are familiar with. This will make it easier for you and your blog to establish yourself as an expert in your chosen niche.Create good content. Visitors will not return to a site if they are not impressed by the content that they saw during their first visit. You have to produce content that is relevant and provides value to the readers. Otherwise, you won’t be able to engage your audience and you can bid your potential traffic goodbye.Stick with the niche and the content. The problem with some bloggers is that they start with a certain niche and, a few months later, switch to another. This results in a lack of consistency on the blog. Stick with the niche that you have chosen, and keep churning out good content within that niche. It is all right to divert once in a while, but you have to go back to your original niche.Connect with other bloggers. Networking is a very important tool when you want to monetize your blog through traffic. You may also learn a thing or two from other bloggers, especially on the ways that they mo netize their blogs. Cross-promotion is also an excellent way to support each other.Use social media to drive traffic to your site. Social media is one of the most effective tools nowadays for attracting traffic to your blog. Using social media is now considered a skill, so it must be honed.Keep at it. It has been two, three years, and your blog seems to be going nowhere. Your earnings are not going up, either. Should you quit? Should you simply give up? The experts say “Don’t.” It may be difficult during the first several months and years, but if you stick with it, you are bound to see your efforts bear fruit.

Human Resource Functions Of The Human Resources Department

Do you remember when you first decided to start a small business. The vision was clear and the excitement drove us from imagination to plan to reality. But, before we knew it, we went from happily wading in the waters of our areas of expertise into the deep and sometimes turbulent waves of the unknown; Human Resources. Human Resource functions include: Payroll, Employment Tax, Recruitment, Hiring, Employee Relations, Termination, Regulatory Compliance and Training to name a few. Each of these functions demanded specific skill sets and experience. They also began to expend valuable time and resources. The reality is that when reviewing a successful business plan there are two major areas to consider; Revenue streams and cost centers.†¦show more content†¦It is definitely money well spent. Be wary of firms that will provide you with free audits since you usually get what you pay for. The audit results should tell you exactly where you stand and specifically provide a HR roadmap to get and keep you on track. Next, ask the most important question: Do YOU have the expertise, time and interest to actually focus on those areas and do them well? Finally, consider the risks and rewards of alternative Human Resource solutions. After twenty five years of providing human resource solutions to hundreds of companies from small start ups to fortune 100 companies, my advice to many of those firms, especially small and start up businesses is to maximize their resources by at least partially outsourcing Human Resources. By outsourcing HR, companies get to focus on what they do best and avoid the hassles and dangers of managing potentially high risk areas. Remember, as an entrepreneur you want to maximize productivity, increase revenue and control costs. Outsourcing Human Resources and other administrative tasks allow management and staff to focus on core business functions. Most importantly, companies receive high end HR services for less than the cost of an administrative staff position. MINIMIZING RISK A critical component of any small business plan is minimizing risk. When reviewing potential Risk Management issues consider this; Regulatory Non-compliance and Discriminatory practices make up the majority

The Plight Of Low Income Individuals And Their Families

Saul Alvarez English 101 The Plight of Low Income Individuals and Their Families According to the PRB article â€Å"U.S. Low-Income Working Families Increasing†, 42.7% of people live below the poverty line, with 32.1% of them living 200% below the poverty line; this group is categorized as the low-income group.(PRB) 59% of low income working families have one or more minority parents. Living in a low-income community limits one’s standard of living through academic gaps, the selection of food available, an ever-present fear of victimization , and a lack of resources available to both children and adults. The differences in academic gaps between children and teenagers from low-income neighborhoods and affluent neighborhoods present themselves in the schools the students attend. A study by the Department of Education showed that students in low-income areas did not have access to the same rigorous courses, and when they did, the resources available to the low-income students was lacking compared to the resources the students in high income neighborhoods had access to. In the low-income areas black and Hispanic students were twice as likely to have teachers with less experience, with one or two years in the profession, compared to schools in affluent neighborhoods with well-to-do white students. Another thing increasing the academic gap is that only 22 percent of local districts reported offering pre-kindergarten or other early learning programs for low-income children.Show MoreRelatedDescription Of The Business Opportunity836 Words   |  4 Pagesin 2012. Among the reasons identified by the large population of uninsured individuals is low income. The low income implies that they have little disposable income, and therefore they spend a little on food and other daily survival necessities (Bailey, 2012). Sixty one percent of the respondents stated that they would seek insurance services if a company offered them at affordable costs that are relative to their income. Only 1.5% of the uninsured population perceived that they did not require insuranceRead MoreThe Leader Of The Field Of Healthcare1271 Words   |  6 Pagescharacteristics of leaders have been endless over a period and around the world. Leaders are individuals with vision and he/her view the future different from the commonly accepted view. A leader can influence change and communicate his/her vision to other staff and gain the support, and acceptance in order to implementing the vision. Leaders have established values which offer a basis for vision and passion to attain individual and organizational g oals. Influence is vital to attaining change and to be groundedRead MoreA Study Of The Development, Structure, And Functioning Of Human Society909 Words   |  4 Pagestheories in sociology today, says that society is a unified whole that functions because of the contributions of its separate structures: family, education, politics, and the economy (social institutions). Fortunately, only with the use of two social institutions from this theory and through culture can we understand William Julius Wilson’s article the â€Å"Economic Plight of Inner-City Black Males† from More than Just Race: Being Black and Poor in the Inner City where he addresses the question, why are soRead MoreMinimum Wage Does Not Impact The Poverty Rate600 Words   |  3 Pagesworkers below the poverty rate and reducing the opportunity for jobs. Protection Since the years after 1938, the Fair Labor Act has enabled workers to maintain a minimum level of income. The forty-hour workweek has provided a limit to employers but also in good economic times the ability to work multiple jobs to offset low-skilled workers living expenses. Today, single mothers, elderly and uneducated are the protected society. Consequently the protection comes at a cost, the minimum wage is also affectingRead MoreIdeal Healthcare System1680 Words   |  7 Pageshealthcare system, the number of persons who lack health insurance approaches 47 million. Lack of health insurance has been associated with limited or no access to comprehensive medical services, worse health outcomes, financial catastrophe for many families, and financial challenges for many service providers. The U.S. Census Bureau conducts an annual social and economic supplemental survey each March- the widely cited Current Population and economic survey (CPS) - that asks respondents about theirRead MoreWhat Does It Mean For A Minority?1584 Words   |  7 PagesWithin most societies there are divisions between the different groups that is composed of, but what is ironic about this is that a society essentially is a unit of individuals who coexist for mutual benefit. Within the constructs of these divisions there are many individuals who feel that they are inherently disadvantaged because they are a part of the minority of their respective society. In terms of their economic stature it can be easily argued that they are disadvantaged because; those of theRead MoreEconomic Inequality And Political Inequality1647 Words   |  7 PagesEconomic inequality, also known as income inequality, is the interval between the rich and the poor. Economic inequality refers to how the total wealth in the United States is distributed among people in a social class. It is needed and it is important but due to the major gap difference, it affects the Democratic Party and in addition, it also af fects Americans because they do not understand the actual wealth distribution. It is a major issue in the United States because it affects other economicRead MoreEconomic Poverty970 Words   |  4 Pagesattention to the plight of the poor when there isnt a natural disaster to put them in the headlines. Poor children in the United States are more likely to be White than Black or Latino and are more likely to live in a rural or suburban area than in an inner city (Poverty and Schooling in the U.S., 2004). There is also an economic case for reducing child poverty and any other form of it. When children grow up in poverty, they are somewhat more likely than non-poor children to have low earnings as adultsRead MoreAddressing the Challenges Faced by Young Parents1814 Words   |  7 PagesParents†¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦..†¦...2 1. Education†¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦.†¦3 2. Stress†¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦...3 3. Finances†¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦..4 4. Health†¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦..4 IV. Addressing the Challenges faced by Young Parents†¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦4 1. Support from Family and Friends†¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦...5 2. Adequate Medical and Psychological Care†¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦5 3. Role of the Government†¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦.6 V. Conclusion†¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦.†¦6 VI. References†¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦....7 Introduction In addition to the challengesRead MoreEssay on Poverty and Personal Choice1378 Words   |  6 Pagesno simple solution to resolve the plight of these often forgotten citizens. Most of us associate poor as being in a class below the poverty line. In fact there are many levels of poverty ranging from those with nothing, to those with enough to survive but too little to move up. I believe many of our nation’s poor are so by their own doing. I will share observations and personal experiences to support the argument that being poor often is a result of individual choice. One needs merely inspiration

Edexcel Maths Fp2 Paper Free Essays

Paper Reference(s) 6667 Edexcel GCE Further Pure Mathematics FP1 Advanced Level Specimen Paper Time: 1 hour 30 minutes Materials required for examination Answer Book (AB16) Graph Paper (ASG2) Mathematical Formulae (Lilac) Items included with question papers Nil Candidates may use any calculator EXCEPT those with the facility for symbolic algebra, differentiation and/or integration. Thus candidates may NOT use calculators such as the Texas Instruments TI-89, TI-92, Casio CFX-9970G, Hewlett Packard HP 48G. Instructions to Candidates In the boxes on the answer book, write the name of the examining body (Edexcel), your centre number, candidate number, the unit title (Further Pure Mathematics FP1), the paper reference (6667), your surname, initials and signature. We will write a custom essay sample on Edexcel Maths Fp2 Paper or any similar topic only for you Order Now When a calculator is used, the answer should be given to an appropriate degree of accuracy. Information for Candidates A booklet ‘Mathematical Formulae and Statistical Tables’ is provided. Full marks may be obtained for answers to ALL questions. This paper has eight questions. Advice to Candidates You must ensure that your answers to parts of questions are clearly labelled. You must show sufficient working to make your methods clear to the Examiner. Answers without working may gain no credit. This publication may only be reproduced in accordance with London Qualifications Limited copyright policy. Edexcel Foundation is a registered charity.  ©2003 London Qualifications Limited 1. Prove that a (r r =1 n 2 – r -1 = ) 1 (n – 2)n(n + 2) . 3 (5) 2. 1 f ( x ) = ln x – 1 – . x (a) Show that the root a of the equation f(x) = 0 lies in the interval 3 lt; a lt; 4 . (2) (b) Taking 3. 6 as your starting value, apply the Newton-Raphson procedure once to f(x) to obtain a second approximation to a. Give your answer to 4 decimal places. (5) 3. Find the set of values of x for which 1 x gt; . x -3 x -2 (7) 4. f ( x ) ? 2 x 3 – 5 x 2 + px – 5, p I ?. The equation f (x) = 0 has (1 – 2i) as a root. Solve the equation and determine the value of p. (7) 5. (a) Obtain the general solution of the differential equation dS – 0. 1S = t. dt (6) (b) The differential equation in part (a) is used to model the assets, ? S million, of a bank t years after it was set up. Given that the initial assets of the bank were ? 200 million, use your answer to part (a) to estimate, to the nearest ? illion, the assets of the bank 10 years after it was set up. (4) 2 6. The curve C has polar equation r 2 = a 2 cos 2q , -p p ? q ? . 4 4 (a) Sketch the curve C. (2) (b) Find the polar coordinates of the points where tangents to C are parallel to the initial line. (6) (c) Find the area of the region bounded by C. (4) 7. Given that z = -3 + 4i and zw = -14 + 2i, find (a) w in the form p + iq where p and q are real, (4) (b) the modulus of z and the argument of z in radians to 2 decimal places (4) (c) the values of the real constants m and n such that mz + nzw = -10 – 20i . (5) 3 Turn over 8. (a) Given that x = e t , show that (i) y dy = e -t , dx dt 2 dy o d2 y – 2t ? d y c 2 – ?. =e c 2 dt ? dx o e dt (ii) (5) (b) Use you answers to part (a) to show that the substitution x = e t transforms the differential equation d2 y dy x 2 2 – 2x + 2y = x3 dx dx into d2 y dy – 3 + 2 y = e 3t . 2 dt dt (3) (c) Hence find the general solution of x2 d2 y dy – 2x + 2y = x3. 2 dx dx (6) END 4 Paper Reference(s) 6668 Edexcel GCE Further Pure Mathematics FP2 Advanced Level Specimen Paper Time: 1 hour 30 minutes Materials required for examination Answer Book (AB16) Graph Paper (ASG2) Mathematical Formulae (Lilac) Items included with question papers Nil Candidates may use any calculator EXCEPT those with the facility for symbolic algebra, differentiation and/or integration. Thus candidates may NOT use calculators such as the Texas Instruments TI 89, TI 92, Casio CFX-9970G, Hewlett Packard HP 48G. Instructions to Candidates In the boxes on the answer book, write the name of the examining body (Edexcel), your centre number, candidate number, the unit title (Further Pure Mathematics FP2), the paper reference (6668), your surname, initials and signature. When a calculator is used, the answer should be given to an appropriate degree of accuracy. Information for Candidates A booklet ‘Mathematical Formulae and Statistical Tables’ is provided. Full marks may be obtained for answers to ALL questions. This paper has eight questions. Advice to Candidates You must ensure that your answers to parts of questions are clearly labelled. You must show sufficient working to make your methods clear to the Examiner. Answers without working may gain no credit. This publication may only be reproduced in accordance with London Qualifications Limited copyright policy. Edexcel Foundation is a registered charity.  ©2003 London Qualifications Limited 1. The displacement x of a particle from a fixed point O at time t is given by x = sinh t. 4 At time T the displacement x = . 3 (a) Find cosh T . (2) (b) Hence find e T and T. (3) 2. Given that y = arcsin x prove that (a) dy = dx (1 – x ) 2 1 , (3) (b) (1 – x 2 ) d2 y dy -x = 0. 2 dx dx (4) Figure 1 3. y P(x, y) s A y O x Figure 1 shows the curve C with equation y = cosh x. The tangent at P makes an angle y with the x-axis and the arc length from A(0, 1) to P(x, y) is s. (a) Show that s = sinh x. (3) (a) By considering the gradient of the tangent at P show that the intrinsic equation of C is s = tan y. 2) (c) Find the radius of curvature r at the point where y = p . 4 (3) S 4. I n = o x n sin x dx. p 2 0 (a) Show that for n ? 2 ?p o I n = nc ? e 2o n -1 – n(n – 1)I n – 2 . (4) (4) (b) Hence obtain I 3 , giving your answers in terms of p. 5. (a) Find ? v(x2 + 4) dx. (7) The curve C has equation y 2 – x 2 = 4. (b) Use your answer to part (a) to fi nd the area of the finite region bounded by C, the positive x-axis, the positive y-axis and the line x = 2, giving your answer in the form p + ln q where p and q are constants to be found. (4) Figure 2 6. y O 2pa x The parametric equations of the curve C shown in Fig. are x = a(t – sin t ), y = a(1 – cos t ), 0 ? t ? 2p . (a) Find, by using integration, the length of C. (6) The curve C is rotated through 2p about Ox. (b) Find the surface area of the solid generated. (5) 7 7. (a) Using the definitions of sinh x and cosh x in terms of exponential functions, express tanh x in terms of e x and e – x . (1) (b) Sketch the graph of y = tanh x. (2) 1 ? 1 + x o lnc ?. 2 e1 – x o (c) Prove that artanh x = (4) (d) Hence obtain d (artanh x) and use integration by parts to show that dx o artanh x dx = x artanh x + 1 ln 1 – x 2 + constant. 2 ( ) (5) 8. The hyperbola C has equation x2 y2 = 1. a2 b2 (a) Show that an equation of the normal to C at P(a sec q , b tan q ) is by + ax sin q = a 2 + b 2 tan q . (6) ( ) The normal at P cuts the coordinate axes at A and B. The mid-point of AB is M. (b) Find, in cartesian form, an equation of the locus of M as q varies. (7) END U Paper Reference(s) 6669 Edexcel GCE Further Pure Mathematics FP3 Advanced Level Specimen Paper Time: 1 hour 30 minutes Materials required for examination Answer Book (AB16) Graph Paper (ASG2) Mathematical Formulae (Lilac) Items included with question papers Nil Candidates may use any calculator EXCEPT those with the facility for symbolic algebra, differentiation and/or integration. Thus candidates may NOT use calculators such as the Texas Instruments TI 89, TI 92, Casio CFX 9970G, Hewlett Packard HP 48G. Instructions to Candidates In the boxes on the answer book, write the name of the examining body (Edexcel), your centre number, candidate number, the unit title (Further Pure Mathematics FP3), the paper reference (6669), your surname, initials and signature. When a calculator is used, the answer should be given to an appropriate degree of accuracy. Information for Candidates A booklet ‘Mathematical Formulae and Statistical Tables’ is provided. Full marks may be obtained for answers to ALL questions. This paper has eight questions. Advice to Candidates You must ensure that your answers to parts of questions are clearly labelled. You must show sufficient working to make your methods clear to the Examiner. Answers without working may gain no credit. This publication may only be reproduced in accordance with London Qualifications Limited copyright policy. Edexcel Foundation is a registered charity.  ©2003 London Qualifications Limited 1. y = x 2 – y, y = 1 at x = 0 . dx y – y0 ? dy o Use the approximation c ?  » 1 with a step length of 0. 1 to estimate the values of y h e dx o 0 at x = 0. 1 and x = 0. 2, giving your answers to 2 significant figures. (6) 2. (a) Show that the transformation w= z -i z +1 maps the circle z = 1 in the z-plane to the line w – 1 = w + i in the w-plane. (4) The region z ? 1 in the z-plane is mapped to the region R in the w-plane. (b) Shade the region R on an Argand diagram. (2) 3. Prove by induction that, all integers n, n ? 1 , ar gt; 2 n r =1 n 1 2 . (7) 4. dy d2 y dy +y = x, y = 0, = 2 at x = 1. 2 dx dx dx Find a series solution of the differential equation in ascending powers of (x – 1) up to and including the term in (x – 1)3. (7) 5. ? 7 6o A=c c 6 2? . ? e o (a) Find the eigenvalues of A. (4) (a) Obtain the corresponding normalised eigenvectors. (6) NM 6. The points A, B, C, and D have position vectors a = 2i + k , b = i + 3j, c = i + 3 j + 2k , d = 4 j + k respectively. (a) Find AB ? AC and hence find the area of triangle ABC. (7) (b) Find the volume of the tetrahedron ABCD. (2) (c) Find the perpendicular distance of D from the plane containing A, B and C. (3) 7. ? 1 x – 1o c ? 5 A( x) = c 3 0 2 ? , x ? 2 c1 1 0 ? e o (a) Calculate the inverse of A(x). (8) ? 1 3 – 1o c ? B = c3 0 2 ? . c1 1 0 ? e o ? po c ? The image of the vector c q ? when transformed by B is cr? e o (b) Find the values of p, q and r. (4) ? 2o c ? c 3? . c 4? e o 11 8. (a) Given that z = e iq , show that zp + 1 = 2 cos pq , zp where p is a positive integer. (2) (b) Given that cos 4 q = A cos 4q + B cos 2q + C , find the values of the constants A, B and C. (7) The region R bounded by the curve with equation y = cos 2 x, rotated through 2p about the x-axis. (c) Find the volume of the solid generated. (6) p p ? x ? , and the x-axis is 2 2 END NO EDEXCEL FURTHER PURE MATHEMATICS FP1 (6667) SPECIMEN PAPER MARK SCHEME Question number 1. Scheme Marks M1 B1 a (r r =1 n 2 – r -1 = a r2 – a r – a1 r =1 r =1 r =1 ) n n n ? n o c a1 = n ? e r =1 o = = = n (n + 1)(2n + 1) – ? 1 on(n + 1) – n c ? 6 e 2o n 2n 2 – 8 6 [ ] M1 A1 A1 (5) (5 marks) 1 n(n – 2 )(n + 2 ) 3 2. (a) f ( x) = ln x – 1 – 1 x f (3) = ln 3 – 1 – 1 = -0. 2347 3 f (4) = ln 4 – 1 – 1 = 0. 1363 4 f (3) and f (4) are of opposite sign and so f ( x ) has root in (3, 4) (b) x 0 = 3. 6 f ? (x ) = 1 1 + x x2 M1 A1 (2) M1 A1 f ? (3. 6 ) = 0. 354 381 f (3. 6) = 0. 003 156 04 Root  » 3. – f (3. 6) f ? (3. 6) M1 A1 ft A1 (5) (7 marks)  » 3. 5911 13 EDEXCEL FURTHER PURE MATHEMATICS FP1 (6667) SPECIMEN PAPER MARK SCHEME Question number 3. Scheme x x x 2 – 3x + 3 1 1 gt; ? gt;0 ? gt;0 x-3 x-2 x-3 x-2 (x – 3)(x – 2 ) Marks M1 A1 B1 B1 Numerator always positi ve Critical points of denominator x = 2, x = 3 x lt; 2 : den = (- ve)(- ve) = + ve 2 lt; x lt; 3 : den = (- ve)(+ ve) = – ve 3 lt; x : den = (+ ve)(+ ve) = + ve M1 A1 A1 (7) (7 marks) Set of values x lt; 2 and x gt; 3 {x : x lt; 2} E {x : x gt; 3} 4. If 1 – 2i is a root, then so is 1 + 2i B1 M1 A1 M1 A1 ft A1 A1 (7) x – 1 + 2i )(x – 1 – 2i ) are factors of f(x) so x 2 – 2 x + 5 is a factor of f (x) f ( x ) = x 2 – 2 x + 5 (2 x – 1) Third root is 1 2 ( ) and p = 12 (7 marks) 5. (a) dS – (0. 1)S = t dt – ( 0. 1)dt Integrating factor e o = e -(0. 1)t M1 d Se – (0. 1)t = te – (0. 1)t dt Se – (0. 1)t = o te – (0. 1)t dt = -10te – (0. 1)t – 100e – (0. 1)t + C [ ] A1 A1 M1 A1 A1 (6) S = Ce (0. 1)t – 10t – 100 (b) S = 200 at t = 0 ? 200 = C – 100 i. e. C = 300 S = 300e (0. 1)t – 10t – 100 M1 A1 At t = 10, S = 300e – 100 – 100 = 615. 484 55 M1 A1 ft (4) (10 marks) Assets ? 615 million NQ EDEXCEL FURTHER PURE MATHEMATICS FP1 (6667) SPECIMEN PAPER MARK SCHEME Question number 6. (a) l Scheme Marks q B1 (Shape) B1 (Labels) (2) (b) Tangent parallel to initial line when y = r sin q is stationary Consider therefore d 2 a cos 2q sin 2 q dq ( ) M1 A1 = -2 sin 2q sin 2 q + cos 2q (2 sin q cos q ) =0 2 sin q [cos 2q cos q – sin 2q sin q ] = 0 sin q ? 0 ? cos 3q = 0 ? q = p -p or 6 6 M1 A1 o ? ? o ? 1 p o? 1 -p Coordinates of the points c c a, ? c a, ? c 6 6 oe 2 e 2 A1 A1 (6) 1 o4 2 1 2o4 (c) Area = o r dq = a o cos 2q dq 2 o -p 2 o -p 4 4 p p M1 A1 a2 a2 1 2 e sin 2q u = a e = [1 – (- 1)] = 2 e 2 u -4p 4 2 u p 4 M1 A1 (4) (12 marks) 15 EDEXCEL FURTHER PURE MATHEMATICS FP1 (6667) SPECIMEN PAPER MARK SCHEME Question number 7. (a) z = -3 + 4i, zw = -14 + 2i Scheme Marks w= = = – 14 + 2i (- 14 + 2i )(- 3 – 4i ) = (- 3 + 4i )(- 3 – 4i ) – 3 + 4i M1 A1 A1 A1 M1 A1 M1 A1 M1 A1 A1 M1 A1 (5) (13 marks) (4) (42 + 8) + i(- 6 + 56) 9 + 16 50 + 50i = 2 + 2i 25 (4) (b) z = (3 2 + 42 = 5 4 = 2. 21 3 ) arg z = p – arctan (c) Equating real and imaginary parts 3m + 14n = 10, 4m + 2n = -20 Solving to obtain m = -6, n = 2 NS EDEXCEL FURTHER PURE MATHEMATICS FP1 (6667) SPECIMEN PAPER MARK SCHEME Question number 8. (a)(i) x = et , dy dy dy dt = = e -t dt dx dt dx Scheme Marks M1 A1 ? dx t o c =e ? e dt o (ii) d 2 y dt d e – t dy u e = dt u dx 2 dx dt e u e M1 e dy d2 yu = e – t e – e -t + e -t 2 u dt dt u e e d 2 y dy u = e – 2t e 2 – u dt u e dt (b) x2 2t A1 A1 (5) d2 y dy – 2x + 2y = x3 2 dx dx – 2t e e e d 2 y dy u t – t dy + 2 y = e 3t e 2 – u, – 2e e dt u dt e dt M1 A1, A1 (3) d2 y dy – 3 + 2 y = e 3t 2 dt dt (c) Auxiliary equation m 2 – 3m + 2 = 0 (m – 1)(m – 2) = 0 Complementary function y = Ae t + Be 2t e 3t 1 Particular integral = 2 = e 3t 3 – (3 ? 3) + 2 2 General solution y = Ae t + Be 2t + 1 e 3t 2 = Ax + Bx 2 + 1 x 3 2 M1 A1 M1 A1 M1 A1 ft 6) (14 marks) 17 EDEXCEL FURTHER PURE MATHEMATICS FP2 (6668) SPECIMEN PAPER MARK SCHEME Question Number 1. cosh 2 T = 1 + sinh 2 T = 1 + 16 25 = 9 9 Scheme Marks M1 A1 (2) M1 A1 A1 ft (3) cosh T =  ± 5 5 = since cosh T gt; 1 3 3 4 5 + =3 3 3 e T = cosh T + sinh T = Hence T = ln 3 2. (5 mar ks) (a) y = arcsin x ? sin y = x M1 cos y dy =1 dx dy 1 1 = = dx cos y 1- x2 M1 A1 (3) (b) d2 y dx 2 = – 1 1- x2 2 ( ) -3 2 (- 2 x ) M1 A1 = x 1- x2 ( ) -3 2 (1 – x ) 2 d2 y dy -x = 1 – x2 x 1 – x2 2 dx dx ( )( ) -3 2 – x 1- ( 1 2 -2 x ) =0 M1 A1 (4) (7 marks) NU EDEXCEL FURTHER PURE MATHEMATICS FP2 (6668) SPECIMEN PAPER MARK SCHEME Question Number 3. Scheme x 0 Marks (a) s=o e ? dy o 2 u 2 e1 + c ? u dx e e dx o u u e dy = sinh x dx 1 y = cosh x, x B1 s = o 1 + sinh 2 x 2 dx 0 [ ] 1 = o cosh x dx = sinh x 0 x M1 A1 (3) (b) Gradient of tangent dy = tan y = sinh x = s dx s = tan y M1 A1 M1 A1 A1 (2) (c) r= ds = sec2 y dy At y = p , r = sec2 p = 2 4 4 (3) (8 marks) 19 EDEXCEL FURTHER PURE MATHEMATICS FP2 (6668) SPECIMEN PAPER MARK SCHEME Question Number 4. Scheme I n = o x n sin x dx = x n (- cos x ) p 2 0 Marks (a) [ ] p 2 0 – o 2 nx n -1 (- cos x )dx 0 p M1 A1 i i = 0 + ni x n -1 sin x i i [ -o 0 p 2 p 2 0 = n (p ) 2 [ n -1 – (n – 1)I n -2 n -1 ] u i (n – 1)x n- 2 sin x dxy i ? A1 So I n = n(p ) 2 2 – n(n – 1)I n -2 A1 (4) (b) ?p o I 3 = 3c ? – 3. 2 I 1 e2o I 1 = o x sin x dx = [x(- cos x )] + o cos x dx 0 p 2 0 p 2 p 2 0 M1 = [sin x ] = 1 0 p 2 A1 3p ? p o I 3 = (3)c ? – 6 = -6 4 e 2o 2 2 M1 A1 (4) (8 marks) OM EDEXCEL FURTHER PU RE MATHEMATICS FP2 (6668) SPECIMEN PAPER MARK SCHEME Question Number 5. Scheme x = 2 sinh t Marks B1 (a) (x 2 + 4 = 4 sinh 2 t + 4 ) ( 2 ) 1 2 = 2 cosh t dx = 2 cosh t dt I =o (x + 4 dx = 4 o cosh 2 t dt ) M1 A1 = 2 o (cosh 2t + 1) dt = sinh 2t + 2t + c M1 A1 M1 A1 ft (7) = 1 x 2 (x 2 2 ? xo + 4 + 2arsinh c ? + c e 2o 2 0 ) (b) Area = o y dx = o 0 (x ) 2 + 4 dx 2 ) M1 e1 =e x e2 = 2 ( xu u e x + 4 u + e 2arsinh u 2u0 u0 e 2 2 1 2 2 8 + 2arsinh (1) 2] = 2 2 + ln 3 + 2 A1 2 + 2 ln[1 + ( 2 ) M1 A1 (4) (11 marks) 21 EDEXCEL FURTHER PURE MATHEMATICS FP2 (6668) SPECIMEN PAPER MARK SCHEME Question Number 6. Scheme 2p 0 Marks (a) s=o e e x + y u dt e u e u  · 2 1  · u2 2 dy  · dx  · = x = a (1 – cos t ); = y = a sin t dt dt s=o 2p 0 M1 A1; A1 2p 0 a (1 – cos t ) + sin 2 t 2 dt = a o 2 p ? 2 sin c 0 2p [ ] 1 [2 – 2 cos t ]2 dt M1 A1, A1 ft (6) 1 = 2a o e ? t ou to ? t , = -4a ecosc ? u = 8a e 2o e e 2 ou 0 1 o2 (b) s = 2p o = 2p o 2p 0 ? yc x + y ? dt c ? e o 1 22 2p  · 2  · 2 2p 0 a 2 (1 – cos t ) 2 dt M1 A1 M1 3 = 8pa 2 o 0 2p 0 ?to sin 3 c ? dt e 2o = 8pa 2 o 2 e t 2 ? t ou e1 – cos c 2 ? u sin 2 dt e ou e 2p 64pa 2 t 2 e 3 t u = 8pa e – 2 cos + cos u = 2 3 2u0 3 e A1 A1 ft (5) (11 mar ks) OO EDEXCEL FURTHER PURE MATHEMATICS FP2 (6668) SPECIMEN PAPER MARK SCHEME Question Number 7. Scheme tanh x = sinh x e x – e – x = cosh x e x + e – x B1 Marks (1) (a) (b) 1 y 0 x -1 B1 B1 (2) (c) artanhx = z ? tanh z = x e z – e-z e z + e -z =x M1 A1 e z – e-z = x e z + e-z ( ) 1 – x )e z = (1 + x )e – z e2z = z= 1+ x 1- x 1 ? 1 + x o lnc ? = artanh x 2 e1- x o M1 A1 M1 A1 1 x dx (4) (d) dz 1 ? 1 1 o 1 = c + ? = dx 2 e 1 + x 1 – x o 1 – x 2 o artanh x dx = (x artanh x ) – o 1 – x = (x artanh x ) + 2 M1 A1 A1 (5) 1 ln 1 – x 2 + constant 2 ( ) (10 marks) 23 EDEXCEL FURTHER PURE MATHEMATICS FP2 (6668) SPECIMEN PAPER MARK SCHEME Question Number 8. Scheme x2 y2 =1 a2 b2 2 x 2 y dy =0 a 2 b 2 dx Marks (a) M1 A1 M1 A1 dy 2 x b 2 b 2 a sec q b = 2 = 2 = dx a 2 y a b tan q a sin q Gradient of normal is then a sin q b a Equation of normal: ( y – b tan q ) = – sin q (x – a sec q ) b x si n q + by = a 2 + b 2 tan q (b) M: A normal cuts x = 0 at y = B normal cuts y = 0 at x = ( ) M1 A1 (6) (a 2 + b2 tan q b ) M1 A1 (a = ( ) a2 + b2 tan q a sin q + b2 a cos q 2 ) A1 e a2 + b2 u a2 + b2 sec q , tan q u Hence M is e 2b e 2a u Eliminating q sec 2 q = 1 + tan 2 q 2 2 ( ) M1 M1 e 2aX u e 2bY u =1+ e 2 e u u ea2 + b2 u ea + b2 u A1 2 4a 2 X 2 – 4b 2Y 2 = a 2 + b 2 [ ] A1 (7) (15 marks) OQ EDEXCEL FURTHER MATHEMATICS FP3 (6669) SPECIMEN PAPER MARK SCHEME Question Number 1. Scheme Marks ? dy o x 0 = 0, y 0 = 1, c ? = 0 – 1 = -1 e dx o 0 ? dy o y1 – y 0 = hc ? ? y1 = 1 + (0. 1)(- 1) = 0. e dx o 0 ? dy o x1 = 0. 1, y1 = 0. 9, c ? e dx o 1 ? dy o y 2 = y1 + hc ? e dx o 1 = (0. 1) – 0. 9 2 B1 M1 A1 ft A1 = -0. 89 = 0. 9 + (0. 1)(- 0. 89) = 0. 811  » 0. 81 z -i ? w( z + 1) = ( z – i ) z +1 M1 A1 (6) (6 marks) 2. (a) w= z (w – 1) = -i – w z= -i-w w -1 -i-w =1 w -1 M1 A1 z =1? i. e. w – 1 = w + i (b) z ? 1? w + i ? w -1 M1 A1 (4) B1 (line) B1 (shading) (2) (6 marks) OR qiea=liEe EDEXCEL FURTHER PURE MATHEMATICS FP3 (6669) SPECIMEN PAPER MARK SCHEME Question Number 3. Scheme For n = 1, LHS =1, RHS = So result is true for n = 1 Assume true for n = k. Then k +1 r =1 Marks 1 2 M1 A1 r gt; 2 k2 + k +1 = = 1 2 1 k + 2k + 1 + 2 2 1 (k + 1)2 + 1 2 2 1 M1 A1 ( ) M1 A1 A1 (7) (7 marks) If true for k, true for k+1 So true for all positive integral n d2 y dy dy +y = x, y = 0, = 2 at x = 1 2 dx dx dx d2 y = 0 +1=1 dx 2 Differentiating with respect to x d 3 y ? dy o d2 y + c ? + y 2 =1 dx 3 e dx o dx 2 4. B1 M1 A1 d3 y dx 3 = -(2) + 0 + 1 = -3 2 A1 x =1 By Taylor’s Theorem y = 0 + 2(x – 1) + = 2(x – 1) + 1 1 2 3 1( x – 1) + (- 3)(x – 1) 3! 2! M1 A1 A1 (7) (7 marks) 1 (x – 1)2 – 1 (x – 1)3 2 2 OS EDEXCEL FURTHER MATHEMATICS FP3 (6669) SPECIMEN PAPER MARK SCHEME Question Number 5. Scheme A – lI = 0 Marks (a) (7 – l ) 6 6 =0 (2 – l ) M1 A1 (7 – l )(2 – l ) – 36 = 0 l2 – 9l + 14 – 36 = 0 l2 – 9l – 22 = 0 (l – 11)(l + 2) = 0 ? l1 = -2, l2 = 11 (b) l = -2 Eigenvector obtained from M1 A1 (4) 6 o ? x1 o ? 0 o ? 7 – (- 2) c ? c ? =c ? c 6 2 – (- 2)? c y 1 ? c 0 ? e oe o e o 3Ãâ€"1 + 2 y1 = 0 ? 2o 1 ? 2o c ? e. g. c ? normalised c – 3? c ? 13 e – 3o e o M1 A1 M1 A1 ft ? – 4 6 o ? x2 o ? 0o c ? c ? =c ? l = 11 c ? c ? c ? e 6 – 9o e y2 o e 0o – 2 x2 + 3 y 2 = 0 ? 3o 1 ? 3o c ? e. g. c ? normalised c 2? c ? 13 e 2 o e o A1 A1 ft (6) (10 marks) 27 EDEXCEL FURTHER PURE MATHEMATICS FP3 (6669) SPECIMEN PAPER MARK SCHEME Question Number 6. (a) AB = (- 1, 3, – 1) ; AC = (- 1, 3, 1) . i j k Scheme Marks M1 A1 AB ? AC = – 1 3 – 1 -1 3 1 = i (3 + 3) + j (1 + 1) + k (- 3 + 3) = 6i + 2 j M1 A1 A1 Area of D ABC = = 1 AB ? AC 2 1 36 + 4 = 10 square units 2 = = = 1 AD . AB ? AC 6 M1 A1 ft (7) (b) Volume of tetrahedron ( ) M1 A1 (2) 1 – 12 + 8 6 2 cubic units 3 ? ?  ® ? ? ® (c) Unit vector in direction AB ? AC i. e. perpendicular to plane containing A, B, and C is 1 n= (6i + 2 j) = 1 (3i + j) 10 40 M1 p = n ? AD = 1 10 (3i + j) ? (- 2i + 4 j) = 1 2 -6+4 = units. 10 10 M1 A1 (3) (12 marks) OU EDEXCEL FURTHER MATHEMATICS FP3 (6669) SPECIMEN PAPER MARK SCHEME Question Number Scheme ? 1 x – 1o c ? A( x ) = c 3 0 2 ? c1 1 0 ? e o 3 o ? – 2 2 c ? Cofactors c – 1 1 x – 1? c 2 x – 5 – 3x ? e o Determinant = 2 x – 3 – 2 = 2 x – 5 ? – 2 1 c A (x ) = c 2 2x – 5 c e 3 -1 Marks 7. (a) M1 A1 A1 A1 M1 A1 M1 A1 (8) -1 1 (x – 1) 2x o ? -5 ? – 3x ? o (b) ? 2o ? po ? – 2 – 1 6 o ? 2o c ? 1c c ? ?c ? -1 1 – 5? c 3? c q ? = B c 3? = c 2 c 4? 1 c 3 cr? 2 – 9? c 4? e o e o e oe o M1 A1 ft M1 A1 = (17, – 13, – 24 ) (4) (12 marks) 29 EDEXCEL FURTHER PURE MATHEMATICS FP3 (6669) SPECIMEN PAPER MARK SCHEME Question Number Scheme zp + Marks 8. (a) 1 1 = e ipq + ipq p z e = e ipq + e -ipq = 2 cos pq ( ) M1 A1 (2) (b) By De Moivre if z = e iq zp + 1 = 2 cos pq zp 4 1o ? 4 p = 1 : (2 cos q ) = c z + ? zo e M1 A1 M1 A1 1 1 1 1 = z 4 + 4 z 3 . + 6 z 2 2 + 4 z. 3 + 4 z z z z 1 o ? 1 o ? = c z 4 + 4 ? + 4c z 2 + 2 ? + 6 z o e z o e = 2 cos 4q + 8 cos 2q + 6 M1 A1 3 8 cos 4 q = 1 cos 4q + 1 cos 2q + 8 2 A1 ft (7) (c) V =p o p 2 p 2 p 2 p 2 y dx = p o 2 p 2 p 2 cos 4 x dx =p o 3o 1 ? 1 c cos 4q + cos 2q + ? dq 8o 2 e8 p M1 A1 ft 1 3 u 2 e1 = p e sin 4q + sin 2q + q u 4 8 u-p e 32 2 M1 A1 ft 3 = p2 8 M1 A1 (6) (15 marks) PM How to cite Edexcel Maths Fp2 Paper, Papers

Swot of Starbucks and Coffee Bean free essay sample

Coffee Bean as compared, do not have that much franchise stores like Starbucks because they are not that profitable. 2) The Starbucks organization has strong ethical values and an ethical mission statement as follows,  Starbucks is committed to a role of environmental leadership in all facets of our business. They wish to change the lifestyle of the peoples and they have succeeded in doing so, once people wish to drink coffee the first brand that comes into the mind is â€Å"Starbucks† 3) Compared to Starbucks, Coffee Bean is involved in more community responsibilities and through this activity they have attracted more customers. ) Starbucks and Coffee Bean both face the same weaknesses because no matter how they innovate the new flavor, people’s taste might change in time, they can’t make much different changes on coffee, which is the weakness of this business. 5) Coffee Bean faces the problem of â€Å"franchise policy†, they do not construct it perfec tly and we can’t get the Coffee Bean shop anywhere just like Starbucks. We will write a custom essay sample on Swot of Starbucks and Coffee Bean or any similar topic specifically for you Do Not WasteYour Time HIRE WRITER Only 13.90 / page 6) Starbucks is very good at taking advantage of opportunities. In 2004 the company created a CD-burning service in their Santa Monica (California USA) cafe with Hewlett Packard, where customers create their own music CD. Moreover, new products and services that can be retailed in their cafes, such as Fair Trade products. 7) Starbucks has the opportunity to expand its global operations. New markets for coffee such as India and the Pacific Rim nations are beginning to emerge. 8) Starbucks gained the opportunity because they have co-branding with other manufacturers of food and drinks, and brand franchising to manufacturers of other goods and services. Both have potential while Coffee Bean does not have it. 9) However, Coffee Bean still has a market potential because their taste is slightly different from Starbucks. Their prices are also cheaper than Starbucks, which makes their product more affordable to middle or lower class people. 10) Actually both companies face similar threats. Who knows if the market for coffee will grow and stay in favour with customers, or whether another type of beverage or leisure activity will replace coffee in the future? People will start to consider their health problems, some people are sensitive with caffeine so will these people change to drinking other beverages instead of coffee?