Susan Carver will purchase a home for $$280,000.$ She will use a down payment of $25\%$ and finance the remaining portion at $4\mathrm{.}8\%,$ compounded monthly for $25$ years. Complete

parts $($a$)$ through $($c$)$ below.

$($a$)$ What will be the monthly payment?

Susan will pay $$\_$ each month.

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

$($b$)$ How much will remain on the loan after making payments for $10$ years?

The amount remaining on the loan will be $$.$

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

$($c$)$ How much interest will be paid on the total amount of the loan over the course of $25$ years?

The amount of interest that will be paid is $

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