Luke deposited $$3800$ into a savings account that earns $6\mathrm{.}00\%$ annually but is compounded $12$ times per year. He plans to leave the funds in the accounts for $6\mathrm{.}00$ years.

However, at the end of $4\mathrm{.}00$ years, Luke has to withdraw $$500.$ What amount will be in the account at the end of the original $6\mathrm{.}00$ years

$

Do not use dollar signs or commas in your answer. Include two decimals in your answer.