Please answer the following questions and SHOW ALL YOUR WORK. I do not want just what your calculator keystrokes were, you should write out the formulas and the answers completely.

1. Allen Paige is planning to invest $10,000 in a bank certificate of deposit (CD) for five years. The CD will pay interest of 9 percent compounded annually. What is the future value of Allens investment? How much would that investment be if Allen received simple interest only instead of compounded interest?

2. Mary Grace expects to need $50,000 for a down payment on a house in six years. How much would she have to invest today in an account paying 7 percent to have $50,000 in six years?

3. Katerina Munroe has $10,000 that she can deposit into a savings account for five years. Bank A compounds interest annually, Bank B twice a year, and Bank C quarterly. Each bank has a stated interest rate of 4%. What account balance would Katerina have at the end of the fifth year if she left all the interest paid on deposit in each bank?