Lee Holmes deposited $$16,300$ in a new savings account at $10\%$ interest compounded semiannually. At the beginning of year $4,$ Lee

deposits an additional $$41,300$ at $10\%$ interest compounded semiannually.

At the end of $6$ years, what is the balance in Lee's account? $($Use the Table provided.$)$

Note: Do not round intermediate calculations. Round your answer to the nearest cent.

Balance