A deposit of $$1,000$ is made to open an account on March $1,2014.$ Monthly deposits of $$300$ are

then made for $5$ years, starting April $1,2014.$ Starting April $1,2019,$ the first of a sequence of $20$

monthly withdrawals of $$800$ is made. Determine the balance in the account on December $1,$

$2021,$ assuming $3\%$ interest rate with monthly compounding