$(1$ point$)$

A person wants to establish an annuity for retirement. He wants to make quarterly

deposits for $30$ years so that he can then make quarterly withdraws of $$12,000\mathrm{.}00$ for

$20$ years. The annuity earns $7\mathrm{.}16\%$ compounded quarterly.

$($a$)$ How much will have to be in the account at the time he retires?

Value of account at retirement: $

$($b$)$ How much should be deposited each quarter for $30$ years in order to accumulate

the required amount?

Quarterly deposit: $

$($c$)$ What is the total amount of interest earned during the $50-$year period?

Total Interest Earned: $