You deposit $$112$ in an account that pays interest with annual compounding. If the account contains $$145$ exactly $9$ years from today, what is the annual interest rate? Enter your answer as a decimal, and show $4$ decimal places. For example, if your answer is $6\mathrm{.}5\%,$ you should enter $\mathrm{.}0650.$

You deposit $$112$ in an account that pays interest with annual compounding. If the account contains $$145$ exactly $9$ years from today, what is the annual interest rate? Enter your answer as a decimal, and show $4$ decimal places. For example, if your answer is $6\mathrm{.}5\%,$ you should enter $\mathrm{.}0650.$