A bank offers an Investment account with an annual interest rate of $1\mathrm{.}47\%$ compounded quarterly. Yolanda invests $$3400$ 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$)($b$)$Assuming no withdrawals are made, how much money is in Yolanda's account after $5$ years?$ How much interest is earned on Yolanda's investment after $5$ years?$