$1.$ You buy a car for $$18,450.$ You must also pay tax and license fees of $$725.$ You have $$1,500$ as a down payment. Your bank will make you a $4-$year car loan for the remaining amount, at $7\mathrm{.}2\%$ interest, but will charge you a $$75$ processing fee $($which will be added to your loan amount$).$

a$.$ What are your monthly payments?

b$.$ What is your finance charge?

c$.$ What is the total cost of the car, including finance charges?

d$.$ What is the APR?