The Clarks are saving up to go on a family vacation in $3$ years. They invest $$2900$ into an account with an annual interest rate of $1\mathrm{.}32\%$ compounded monthly. Answer the questions below. Do not round any intermediate computations, and round your final answers to the nearest cent. If necessary, refer to the list of financial formulas.

$($a$)$ Assuming no withdrawals are made, how much money is in the Clarks' account after $3$ years?

$$

$($b$)$ How much interest is earned on the Clarks' investment after $3$ years?

$