Melvin Indecision has difficulty deciding whether to put his savings in Mystic Bank or Four Rivers Bank. Mystic offers $13\%$ interest

compounded semiannually. Four Rivers offers $12\%$ interest compounded quarterly. Melvin has $$11,600$ to invest. He expects to

withdraw the money at the end of $6$ years.

Calculate the interest earned at the end of Melvin's investment period at each bank. Identify which bank gives him the better deal? $($Do

not round intermediate calculations. Round your answer to the nearest cent.$)$