Amortization Schedule

Consider a $$40,000$ loan to be repaid in equal installments at the end of each of the next $5$ years. The interest rate is $7\%.$

a$.$ Set up an amortization schedule for the loan. Do not round intermediate calculations. Round your answers to the nearest cent. If your answer is zero, enter $"0".$

$\backslash$table$[[$Year$,,$Payment,,rest,ReF,ncipal,,Balance$],[1,$$$,3,$$$,3,$$$,3,$$$,],[2,$$$,3,$$$,3,$$$,3,$$$,],[3,$$$,3,$$$,3,$$$,,$$$,],[4,$$$,3,$$$,3,$$$,,$$$,],[5,$$$,3,$$$,3,$$$,3,$$$,],[$Total$,$$$,3,$$$,3,$$$,,,]]$

b$.$ How large must each annual payment be if the loan is for $$80,000?$ Assume that the interest rate remains at $7\%$ and that the loan is still paid off over $5$ years. Do not round intermediate calculations. Round your answer to the nearest cent.

$ $$

c$.$ How large must eath payment be if the loan is for $$80,000,$ the interest rate is $7\%,$ and the loan is paid off in equal installments at the end of $10$ years? This loan is for the same amount as the loan in part $b,$ but the payments are spread out over twice as many periods. Do not round intermediate calculations. Round your answer to the nearest cent.

$ $$