A company currently owes $$35,000$ to a bank for a loan it took $4$ years and $4$ months ago. The interest rate charged on the loan was $5\mathrm{.}5\%$ compounded monthly.

a$.$ What was the original principal of the loan?

$$0\mathrm{.}00$

Round to the nearest cent

b$.$ What was the amount of interest charged on the loan?

$$0\mathrm{.}00$

Round to the nearest cent