just number 29 please. with work shown

va (Z What is the future value of a 10-year annuity of $4,000 per period where payments come at the beginning of each period? The interest rate is 12 percent. 26. Related to the discussion in problem 25, what is the present value of a 10-year An annuity of $5,000 per period in which payments come at the beginning of each (LC period? The interest rate is 12 percent. X 27. Your rich godfather has offered you a choice of one of the three following alternatives: $10,000 now; $2,000 a year for eight years; or $24,000 at the end of eight years. Assuming you could earn 11 percent annually, which alterna- tive should you choose? If you could earn 12 percent annually, would you still choose the same alternative? X 28. You need $28,974 at the end of 10 years, and your only investment outlet is an 8 percent long-term certificate of deposit (compounded annually). With the cer- tificate of deposit, you make an initial investment at the beginning of the first year. What single payment could be made at the beginning of the first year to achieve this objective? b. What amount could you pay at the end of each year annually for 10 years to achieve this same objective? a. 29. Sue Sussman started a paper route on January 1, 2002. Every three months, she deposits $500 in her bank account, which earns 4 percent annually but is com- pounded quarterly. On December 31, 2005, she used the entire balance in her bank account to invest in a contract that pays 9 percent annually. How much will she have on December 31, 2008? 30. On January 1, 2002, Mike Irwin, Jr., bought 100 shares of stock at $14 per share. On December 31, 2008, he sold the stock for $21 per share. What is his annual rate of return? Interpolate to find the exact answer. 31. Dr. I. N. Stein has just invested $6,250 for his son (age one). The money will be used for his son's education 17 years from now. He calculates that he will need $50,000 for his son's education by the time the boy goes to school. What rate o return will Dr. Stein need to achieve this goal? 32. Ester Seals has just given an insurance company $41,625. In return, she will receive an annuity of $5,000 for 15 years. At what rate of return must the insu ance company invest this $41,625 to make the annual payments? Interpolate. mnon Herto