Calculating deposit needed You put $$5,000$ in an account earning $5\%.$ After $4$ years, you make another deposit into the same account. Six years later $($that is$,10$ years after your original $$5,000$ deposit$),$ the account balance is $$22,000.$ What was the amount of the deposit at the end of year $4?$

The amount of the deposit at the end of year $4$ is $$,($Round to the nearest cent.$)$