Find the mortgage balance after the first three payments on a $30$

$-$year $$110,000$

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

and has a monthly payment of $$493\mathrm{.}95$

$.$

Payment Number Interest Payment Principal Payment Mortgage Balance

$1$

$$320\mathrm{.}83$

$$173\mathrm{.}12$

Balance $1$

$2$

$$320\mathrm{.}33$

$$173\mathrm{.}62$

Balance $2$

$3$

$$319\mathrm{.}82$

$$174\mathrm{.}13$

Balance $3$