a$)$ If you need to borrow $$200,000$ with a $30-$year fixed$-$rate mortgage at $5\mathrm{.}5\%$ to purchase

a home, how much would your monthy payment be$?$

b$)$ If you could afford a monthly payment of $$1500,$ with the same terms as in part a$,$ how much

would you be able to borrow $?$