You can afford a $$1200$ per month mortgage payment. You've found a $30$ year loan at $5\mathrm{.}7\%$ interest.

a$)$ How big of a loan can you afford? $($Round to the nearest cent, as needed.$)$

b$)$ How much total money will you pay the loan company? $($Round to the nearest cent, as needed.$)$

c$)$ How much of that money is interest? $($Round to the nearest cent, as needed.$)$