A woman decides to purchase a $$23,800$ car and makes a down payment of $$3,500.$ She arranges to borrow the remainder from a bank that will charge her $4\mathrm{.}5\%$ interest. She will make monthly payments for $4$ years. Solve each part algebraically.

a$.$ Find her monthly payment amount.

b$.$ Create an amortization schedule using Microsoft Excel. $($You must enter the formulas and not use a pre$-$made template. Instructions are on the next page.$)$ Print the amortization schedule and include it to with your lab submission.

c$.$ Determine the total amount she would pay for the car and the total amount of interest paid.