Tan Company purchased a large server for $$48,000.$ The company paid $50\mathrm{.}00\%$ of the value as a down$-$payment and received a loan for the balance at $4\mathrm{.}75\%$ compounded monthly. The loan has a term of $6$ years and Tan Company has to make month$-$end payments to settle the loan.

a$.$ What is the size of the month$-$end payments?

Round to the nearest cent

b$.$ What was the total amount paid to settle the loan?

Round to the nearest cent

c$.$ Calculate the total amount of interest paid throughout the term of the loan.

Round to the nearest cent