In Exercises 31 through 38, write a program to answer the question. Annuity An annu...

In Exercises 31 through 38, write a program to answer the question.

Annuity An annuity is a sequence of equal periodic payments. One type of annuity, called a savings plan, consists of monthly payments into a savings account in order to generate money for a future purchase. Suppose you decide to deposit $100 at the end of each month into a savings account paying 3 % interest compounded monthly. The monthly interest rate will be .03/12 or .0025, and the balance in the account at the end of each month will be computed as

[balance at end of month] = (1.0025) · [balance at end of previous month] + 100.

After how many months will there be more than $3000 in the account? See Fig. 6.16.