This problem demonstrates the dependence of the future value of an annuity on the number of payments. Suppose $1000 is invested at the end of each year. Assume the investments earn 10% compounded annually. Calculate the future value of the investments after each of the following numbers of payments:
a. 5.
b. 10.
c. 15.
d. 20.
e. 25.
f. 30.