Justin is saving for his retirement $24$ years from now by setting up a savings plan. He has set up a savings plan wherein he will deposit $$146\mathrm{.}00$ at the end of each year for the next $12$ years. Interest is $12\%$ compounded annually.

$($a$)$ How much money will be in his account on the date of his retirement?

$($b$)$ How much will Justin contribute?

$($c$)$ How much will be interest?

$($a$)$ The future value will be $

$($Round the final answer to the nearest cent as needed. Round all intermediate values to six decimal places as needed.$)$