Decreasing the number of years of a loan decreases the amount of interest repaid over the term of the loan. Suppose a dental hygienist has the option of a $30-$year loan or a $25-$year loan of $$365,000$ at an annual interest rate of $4\mathrm{.}25\%.$

$($a$)$

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

$30-$year loan $

$25-$year loan $

$($b$)$

Calculate the savings in interest $($in dollars$)$ by using the $25-$year loan. $($Round your answer to the nearest cent.$)$