You plan to purchase a $$140,000$ house using a $15-$year mortgage obtained from your local credit union. The mortgage rate offered to you is $5\mathrm{.}5$ percent. You will make a down payment of $10$ percent of the purchase price.

a$.$ Calculate your monthly payments on this mortgage.

b$.$ Construct the amortization schedule for the first six payments.

Complete this question by entering your answers in the tabs below.

Required A

Required B

Construct the amortization schedule for the first six payments. $($Do not round intermediate calculations. Round your answers to $2$ decimal places. $($e$.$g$.,32\mathrm{.}16))$

$\backslash$table$[[$Amortization Schedule for first $6$ payments $($months$),],[$Month$,\backslash$table$[[$Beginning Loan$],[$Balance$]],$Payment,Interest,Principal,$\backslash$table$[[$Ending Loan$],[$Balance$]],,],[1,,,,,,,],[2,,,,,,,],[3,,,,,,,],[4,,,,,,,],[5,,,,,,,]]$