On May $1,$ the home mortgage balance was $$119,000$ for the home owned by Jim Thompson. The interest rate for the loan is $9$ percent. Assuming that Jim makes the May monthly mortgage payment of $$952,$ 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 Jim makes this monthly mortgage payment.

$($a$)$ Interest amount:

$($b$)$ Principal reduction:

$($c$)$ New balance: