Find the mortgage balance after the first three payments on a $20$

$-$year $$100,000$

mortgage that was financed at an APR of $3\mathrm{.}5\%$

and has a monthly payment of $$579\mathrm{.}96$

$.$

Payment Number Interest Payment Principal Payment Mortgage Balance

$1$

$$291\mathrm{.}67$

$$288\mathrm{.}29$

Balance $1$

$2$

$$290\mathrm{.}83$

$$289\mathrm{.}13$

Balance $2$

$3$

$$289\mathrm{.}98$

$$289\mathrm{.}98$

Balance $3$