An ordinary annuity pays $7\mathrm{.}68\%$ compounded monthly.

$($A$)$ A person deposits $$150$ monthly for $30$ years and then makes equal monthly withdrawals for the next $15$ years, reducing the balance to zero. What are the monthly withdrawals? How much interest is earned during the entire $45-$year process?

$($B$)$ If the person wants to make withdrawals of $2,000$ per month for the last $15$ years, how much must be deposited monthly for the first $30$ years?

$($A$)$ The monthly withdrawals are $

$($Round to the nearest cent as needed.$)$

The interest earned during the entire $45-$year process is $

$($Round to the nearest cent as needed.$)$

$($B$)$ $ must be deposited monthly for the first $30$ years.

$($Round to the nearest cent as needed.$)$