The bank family would like to borrow $$12,0,000$ to purchase a home.

They qualified for an annual interest rate of $4\mathrm{.}8\%.$ Algebraically determine the fewest number of years the Barks Family would need to include in the mortgage agreement in order to have a monthly payment of no more than $$720.$

$M=\frac{P(\frac{r}{12})(1+\frac{r}{12}{)}^n}{(1+\frac{r}{12}{)}^n-1}$

$m=$ monthly payment

$P=$ amount borrowed