You deposit $$3000$ today in an account earing $3\mathrm{.}5\%$ annual interest and keep it for $10$ years. In $10$ years, you add $$27,000$ to your account, but the rate on your account changes to $7\mathrm{.}5\%$ annual interest $($for existing balance and new deposit$).$ You leave the account untouched for an additional $20$ years. How much money you will have $30$ years from now in this account?