A bank offers an investment account with an annual interest rate of $1\mathrm{.}42\%$ compounded annually. Leila invests $$3600$ into the account for $5$ years.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 Leila's account after $5$ years?

$($b$)$How much interest is earned on Leila's investment after $5$ years?