A restaurant manager has the option of a $30-$year loan of $$419,000$ at an annual interest rate of $3\mathrm{.}75\%$ or the same interest rate but on a loan for $15$ years.

$($a$)$

Calculate the monthly payment for each loan. $($Round your answers to the nearest cent.$)$

$30-$year $

$3002\mathrm{.}79$

Incorrect: Your answer is incorrect.

$15-$year $

$($b$)$

Calculate the savings in interest by using the $15-$year loan. $($Round your answer to the nearest cent.$)$

$