Find the future values of the following ordinary annuities:

a. FV of $750 each 6 months for 4 years at a nominal rate of 10%, compounded semiannually.

b. FV of $375 each 3 months for 4 years at a nominal rate of 10%, compounded quarterly.

c. The annuities described in parts a and b have the same total amount of money paid into them during the 4-year period and both earn interest at the same nominal rate, yet the annuity in part b earns $105.75 more than the one in part a over the 4 years. Why does this occur?