You plan to purchase a $$280,000$ house using a $15-$year mortgage obtained from your local credit union. The mortgage rate offered to you is $7$ 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$[[$ning Loan$],[$alance$]],,$ment,Interest,Principal,$\backslash$table$[[$Ending Loan$],[$Balance$]]],[1,$$$,252,000\mathrm{.}00,$$$,1,470\mathrm{.}00,1,470\mathrm{.}00,,],[2,,251,204\mathrm{.}95,,1,465\mathrm{.}36,,,],[3,,250,405\mathrm{.}26,,1,460\mathrm{.}70,,,],[4,,249,600\mathrm{.}91,,1,456\mathrm{.}01,,,],[5,,248,791\mathrm{.}86,,1,451\mathrm{.}29,,,],[6,,247,978\mathrm{.}10,,1,446\mathrm{.}54,,,]]$