point$)$

fteen years ago a couple purchased a house for $$250,000\mathrm{.}00$ by paying a $20\%$ down payment and financing the remaining balance with a $30-$year ortgage at $4\mathrm{.}04\%$ compounded monthly.

Find the monthly payment for this loan.

lonthly Payment: $

b$)$ Find the balance of the loan after $14$ years and after $15$ years. Let $m$ be how many payments are left on the loan.

$\backslash$table$[[$After $14$ years,,After $15$ years,$],[m=,,m=,],[$Loan Balance: $$,,$Loan Balance: $$,]]$

$($c$)$ Find the total amount of interest paid by the couple during the $15$ th year.

Interest Paid During $15$th year: $