On May $1,$ the home mortgage balance was $$219,000$ for the home owned by Scott Robinson. The interest rate for the loan is $7\mathrm{.}25$ percent.

Assuming that Scott makes the May monthly mortgage payment of $$2628,$ calculate the following:

$($a$)$ The amount of interest included in the May payment $($round your answer to the nearest cent$).$

$($b$)$ The amount of the monthly mortgage payment that will be used to reduce the principal balance.

$($c$)$ The new balance after Scott makes this monthly mortgage payment.

$($a$)$ Interest amount:

$ $$

$($b$)$ Principal reduction: $$

$($c$)$ New balance:

$