You've just turned $20$ years old today. You would like to finish your Cal Poly degree, then work for a few years, and then start your grad school when you turn $26.$ To save up enough for your grad school degree you will set aside $$12,000$ once a year, a total of six identical amounts, deposited into the same bank account. You will set aside the first such amount today.

When you turn $26$ and start your grad school degree, you will right away withdraw $$25,000$ to pay for the first year of your grad school tuition. You will then continue withdrawing the same amount of money from the same bank account $($which keep in mind! $-$ keeps earning you interest$),$ once each year. To cover the tuition expenses you will need to make four such money withdrawals.

Based on the above, the annual interest rate in this bank account is

$\%.($Do not round intermediate calculations and enter your answer as a percent rounded to $2$ decimal places, e$.$g$.,12\mathrm{.}34)$

Return

$7\mathrm{.}00|\%|$