Luke deposited $$4500$ into a savings account that earns $6\mathrm{.}00\%$ annually but is compounded $2$ times per year. He plans to leave the funds in the accounts for $5\mathrm{.}50$ years.

However, at the end of $1\mathrm{.}50$ years, Luke has to withdraw $$800.$ What amount will be in the account at the end of the original $5\mathrm{.}50$ years

$

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