Michael Sanchez purchased a condominum for $$89000.$ He made a $20\%$ down payment and financed the balence woth a $30$ year, $5\%$ fixed rate mortgage.

$($a$)$ What is the amount $($in $$)$ of the monthly principal and interest portion, PI$,$ of Michael's loan?

$($b$)$ Construct an amortization schedule for the first four months of Michael's mortgage.

$\backslash$table$[[\backslash$table$[[$Payment$],[$Number$]],\backslash$table$[[$Monthly$],[$Payment$],[($in $$)]],,\backslash$table$[[$Monthly$],[$Interest$],[($in $$)]],\backslash$table$[[$Portion Used$],[$to Reduce$],[$Principal$],[($in $$)]],\backslash$table$[[$Loan$],[$Balance$],[($in $$)]]],[0,,,,,$$