$59.$ Mortgage payments. you are about to purchase a new home for $150,000.$ you plan on making a down payment of $10$ percent of the value of the house and taking out a mortgage for the remaining balance. a bank offered you a traditional $25$ year mortgage at $6\mathrm{.}95$ percent APR.

a$.$ how much is your monthly payment

b$.$ prepare an amortization schedule for the first $4$ months?

c$.$ how much will you still owe on your mortgage for the first $4$ months?