A family has a $$99,519,30-$year mortgage at $6\%$ compounded

monthly. Find the monthly payment. Also find the unpaid balance after

the following periods of time.

$($A$)10$ years

$($B$)20$ years

$($C$)25$ years

The monthly payment is $$596\mathrm{.}67.$

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

$($A$)$ The unpaid balance after $10$ years is $

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