The Bells bought a $$349,000$ house. They made a down payment of $$43,000$ and took out a mortgage for the rest. Over the course of $15$ years they

made monthly payments of $$2582\mathrm{.}21$ on their mortgage until it was paid off.

$($a$)$ What was the total amount they ended up paying for the house $($including

the down payment and monthly payments$)?$

$

$($b$)$ How much interest did they pay on the mortgage?

$