When Pablo was born, his grandparents started a savings account for him with a beginning balance of $175. Every month they deposited $25 into the account. The savings account paid an annual interest rate of 2.1 percent, compounded monthly.Pablo just turned 24 and the balance of his account is now $9640.99.How much of the money in Pablo's account was earned in interest?(Round your answer to the nearest cent, and don't include the dollar sign.)Group of answer choices9640.99 was gained by interest2265.99 was gained by interest2638.34 was gained by interest7375.00 was gained by interest
Question
When Pablo was born, his grandparents started a savings account for him with a beginning balance of 25 into the account. The savings account paid an annual interest rate of 2.1 percent, compounded monthly.Pablo just turned 24 and the balance of his account is now $9640.99.How much of the money in Pablo's account was earned in interest?(Round your answer to the nearest cent, and don't include the dollar sign.)Group of answer choices9640.99 was gained by interest2265.99 was gained by interest2638.34 was gained by interest7375.00 was gained by interest
Solution
To solve this problem, we first need to calculate how much money Pablo's grandparents deposited into the account over the 24 years.
They deposited $25 every month for 24 years, which is 24*12 = 288 months.
So, the total amount of money they deposited is 288 * 7200.
The balance of the account when Pablo turned 24 was $9640.99.
To find out how much of this was earned in interest, we subtract the total amount deposited (including the initial deposit) from the final balance.
So, 7200 + 2265.99.
Therefore, $2265.99 was gained by interest.
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