Kevin buys a $$163,000$ house. He puts $$30,000$ down and takes out a $30-$year mortgage at $5\mathrm{.}5\%$ for the balance.

a$.$ Find Kevin's monthly payment.

b$.$ Each monthly payment of a mortgage is an individual lump sum calculation for a single period. Using the balance, and interest rate from part $($a$)$

Determine the interest for the current month using the last balance.

The rest of that month's payment is applied to principal. Calculate the portion applied to principal.

Calculate the new balance by reducing the previous balance by the amount applied to principal. Fill in the amortization table for payments $1$ and $2.$

$\backslash$table$[[$PAYMENT$,\backslash$table$[[$AMOUNT OF$],[$PAYMENT$]],\backslash$table$[[$INTEREST FOR$],[$PERIOD$]],\backslash$table$[[$PORTION APPLIED$],[$TO PRINCIPAL$]],\backslash$table$[[$CURRENT$],[$BALANCE$]]],[0,---,---,$$$133,000,],[1,,,-,],[2,,,,]]$