Prepare an amortization schedule for a five$-$year loan of $$20,000.$ The interest rate is $9\%$ per year, and the loan agreement calls for equal annual cash payments of $$5,141\mathrm{.}85.$

Please make sure your final answer$($s$)$ are accurate to $2$ decimal places.

a$)$ Complete the following table.

b$)$ How much total interest is paid over the life of the loan?