First City Bank pays $6$ percent simple interest on its savings account balances, whereas Second City Bank pays $6$ percent interest compounded annually. If you made a deposit of $$13,000$ in each bank, how much more money would you earn from your Second City Bank account at the end of $10$ years?

Note: Do not round intermediate calculations and round your answer to $2$ decimal places, e$.$g$.,32\mathrm{.}16.$