Suppose you take out a $$289,500$ mortgage for $30$ years at $3\mathrm{.}1\%$ interest.

$($a$)$ Find the monthly payment on this mortgage. $

$($b$)$ Fill out the first two rows of the amortization schedule below. Round your answers to the nearest dollar.

Payment Number Interest Payment Principal Payment Balance of Loan

$1$ $

$

$

$2$ $

$

$