1.. Suppose $2000 is invested at 6% annual interest rate for 10years and the interest is compounded monthly. How much will theinvestment be worth at the end of the 10 years?
2. Suppose John invests his tax refund of $1666 in an accountthat earns interest compounded continuously at the rate of 3.5%.How much will John have in 7.5 years? Show your work details.
3. What is the present value of an account that will be worth$10,000 in 5 years if the annual interest rate is 10% and theinterest is compounded continuously? Show your work details.
4.A company shows the following profit figures for the years2000, 2004, and 2008. In 2000 the profit was $250 million; in 2004,the profit was $400 million; and, in 2008, the profit was $550million. If x is the number of years after 2000, write a linearfunction representing this profit. Using this linear modeldetermine what the projected profit will be in the year 2020. Showwork details.
5. The table shows the year and the number of people unemployedin a particular city for several years. Determine whether the trendappears to be approximately linear. If so, and assuming the trendcontinues, in what year will the number of unemployed reach 15people?
Year                         1990 1992 1994 1996 1998 2000 2002 2004 2006 2008
Number Unemployed 750Â Â 670Â Â 650Â Â 605Â Â 550Â Â 510Â Â 460Â Â 420Â Â 380Â Â 320
6. Wilbur and Cody are selling pies for a school fundraiser.Customers can buy cherry pies and blackberry pies. Wilbur sold 8cherry pies and 2 blackberry pies for a total of $110. Cody sold 7cherry pies and 6 blackberry pies for a total of $177. What is thecost each of one cherry pie and one blackberry pie? Show workdetails.