1. (Compound interest) To what amount will the following investments accumulate? a. $5,000 invested for 10 years at 10 percent compounded annually b. $8,000 invested for 7 years at 8 percent compounded annually c. $775 invested for 12 years at 12 percent compounded annually d. $21,000 invested for 5 years at 5 percent compounded annually 2. (Future value) Albert Pujols hit 47 home runs in 2009. If his home-run output grew at a rate of 12 percent per year, what would it have been over the following 5 years? 3. (Loan amortization) Mr. Bill S. Preston, Esq., purchased a new house for $80,000. He paid $20,000 down and agreed to pay the rest over the next 25 years in 25 equal end-of-year payments plus 9 percent compound interest on the unpaid balance. What will these equal payments be? 4. (Present value) The state lottery's million-dollar payout provides for $1 million to be paid over 19 years in 20 payments of $50,000. The first $50,000 payment is made immediately, and the 19 remaining $50,000 payments occur at the end of each of the next 19 years. If 10 percent is the appropriate discount rate, what is the present value of this stream of cash flows? If 20 percent is the appropriate discount rate, what is the present value of the cash flows? 5. (Nonannual compounding using a calculator) Bowflex's television ads say you can get a fitness machine that sells for $999 for $33 a month for 36 months. What rate of interest are you paying on this Bowflex loan?