Show all work and write sentence answers where appropriate.

$1.)$ John and Tammy are buying a house for $$330,000$ and have taken out a $30-$year

mortgage at $3\mathrm{.}75\%$ interest per year. If they decide to put $20\%$ down find the

following

a$.)$ Find the monthly payment.

b$.)$ Complete the following amortization table

$\backslash$table$[[$Month$,\backslash$table$[[$Outstanding$],[$Principle$]],\backslash$table$[[$Payment of$],[$Principle$]],\backslash$table$[[$Interest$],[$Payment$]],\backslash$table$[[$Monthly$],[$Payment$]]],[0,,,,],[1,,,,],[2,,,,],[3,,,,],[178,,,,],[179,,,,],[180,,,,]]$