Future Value of an Annuity for Various Compounding Periods Find the future values of the following ordinary annuities a IV of $200 each 6 months for 4 years at a nominal rate of 12%, compounded semiannually. Do not round intermediate calculations. Round your answer to the nearest cent. $ b. FV of $100 each 3 months for 4 years at a nominal rate of 12%, compounded quarterly. Do not round intermediate calculations Round your answer to the nearest cent $ c The annuities described in parts a and b have the same amount of money paid into them during the 4-year period, and both eam interest at the same nominal rate, yet the annuity in part b earns more than the one in part a over the 4 years. Why does this occur? -Select