MC algo $4-40$ Lump Sums

You have just deposited $$8,000$ into an account that promises to pay you an annual interest rate of $5\mathrm{.}9$ percent each year

for the next $5$ years. You will leave the money invested in the account and $15$ years from today, you need to have $$19,400$

in the account. What annual interest rate must you earn over the last $10$ years to accomplish this goal?