Calculating deposit needed You put $$5,000$ in an account earning $4\%.$ After $3$ years, you make another deposit into the same account. Five years later $($that is$,8$ years after your original $$5,000$ deposit$),$ the account balance is $$20,000.$ What was the amount of the deposit at the end of year $3?$

The amount of the deposit at the end of year $3$ is $ $($Round to the nearest cent.$)$