"Problem $3-3$

Jones can deposit $$5,000$ at the end of each six$-$month period for the next $12$ years and earn interest at an annual rate of $8$ percent, compounded semiannually.

Required:

a$.$ What will the value of the investment be after $12$ years?

b$.$ If the deposits were made at the beginning of each year, what would the value of the investment be after $12$ years?

Note: For all requirements, do not round intermediate calculations and round your final answers to the nearest whole dollar.

a$.$ Future value of annuity

b$.$ Future value of annuity due