Suppose you open today $($year $0)$ a savings account with $$1,000$; the account earns an interest of $6\%$ APR annually. At the end of year $2$ you deposit an additional $$1,000$ in the savings account, and then at the end of year $6$ you deposit another $$1,000$ in the account. There is a total of $3$ deposits lade so far. If you did not make any withdrawals or additional deposits, then approximately what is the balance $($FV$)$ in the account at the end of year $11(5$ years after the last deposit$)?$