find the future values of the following ordinary annuities:

a) FV of $600 paid each 6 months for 5 years at a nominal rate of 6% compounded semiannually. Do not round intermediate calculations. Round your answer to the nearest cent.

b) FV of $300 paid each 3 months for 5 years at a nominal rate of 6% compounded quarterly. do not round intermediate calculations. round your answer to the nearest cent.

c) these annuities recieve the same amount of cash during the 5-year period and earn interest at the same nominal rate, yet the annuity in part b ends up larger than the one on part a, why does this occur?