### Calculate the annual interest rate

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Problem 1: You deposit \$7,500 into an account. After 10 years, the account is worth \$44,187.02. If the interest compounds quarterly, calculate the annual interest rate.

Problem 2: You deposit \$1,800 into an account that pays 7.5% compounded daily. How much will the account be worth after 8 years?

Problem 3: At some point in the past, you deposited \$800 into an account which is now worth \$2,121. If the account pays 6.5% compounded continuously, how long ago did you make your initial deposit?

Problem 4: In 10 years, you know that you will need to have \$35,000. You have the ability to deposit money into an account today, which will pay 4.5% interest compounded annually. How much would you need to deposit in order to have \$35,000 in ten years?

Problem 5: You deposit \$15,000 into an account. After a certain number of years, the account is worth \$220,959. If the account pays 9% compounded monthly, how long has the money been in the account?

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