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Question 7 of 15. step 1 of 1 Cole starts an IRA dindividual Retirement Account) at the age of 36 to save for retirement. He deposits \( \$ 450 \) each month. Upon retirement at the age of 65 , his retirement savings is \( 5594,249.92 \). Determine the amount of money cole deposited over the length of the investment and how much he made in interest upon retirement. Answer How to enter your answer (operts in new window) Keyboard Shortcu Kotal Deposited: \( \$ \square \)

Ask by Powell Newton. in the United States
Mar 09,2025

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Cole deposited a total of \$156,600 over the 29 years. He earned \$5,437,649.92 in interest upon retirement.

Solución

1. Cole's contribution period lasts from age 36 to 65. The number of years is \[ 65 - 36 = 29 \text{ years}. \] 2. Since he deposits monthly, the number of deposits is \[ 29 \times 12 = 348 \text{ deposits}. \] 3. The total amount deposited is \[ 450 \times 348 = 156600. \] So, Cole deposited a total of \(\$156600\). 4. The interest earned is the difference between the final amount and the total deposited: \[ 5594249.92 - 156600 = 5437649.92. \] Thus, the interest earned is \(\$5437649.92\).

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Bonus Knowledge

Over the course of 29 years (from age 36 to 65), Cole makes monthly deposits of \$450. This means he will have deposited a total of \$450 x 12 months x 29 years, which equates to \$157,800. To find out how much Cole made in interest, we take his total savings at retirement, \$559,249.92, and subtract the total amount he deposited. So, \$559,249.92 - \$157,800 gives us \$401,449.92 in interest earned. What a remarkable way to watch your money grow over time!

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