You Invest $\$ 4,000$ In an Account Earning $4 \%$ Annual Interest $\$ 8,000$

Short Answer

You invest $\$ 4,000$ in an account earning $4 \%$ annual interest. At the same time, you invest $\$ 8,000$ in a different account earning $2 \%$ annual interest. In both accounts, the interest is compounded continuously. When do the accounts each hold the same amount? Round your answer to the nearest year.