cole starts an IRA at the age of 26, he deposits $400 every month. when he is 65, the account has $1,474,258.37 in it. how much money did he deposit and what was the interest?

Let's break down the problem and solve it step by step:

1. **Total Deposits (Principal)**
   - Cole deposits $400 every month.
   - He started at the age of 26 and continued until the age of 65.
   - That’s a total of $ 65 - 26 = 39 $ years.
   - Since he deposits monthly, that’s $ 39 \times 12 = 468 $ months.

The total amount of money Cole deposited is:

\[
\text{Total Deposits} = 400 \times 468
\]

2. **Final Amount (Future Value)**
   - After 39 years, the account balance is $1,474,258.37.

3. **Interest Earned**
   - The interest is the difference between the final amount and the total deposits.
   
Now, let’s calculate the total deposits and interest.

It seems like I can’t do more advanced data analysis right now. Please try again later. However, you can calculate the total deposits using this formula:

\[
\text{Total Deposits} = 400 \times 468 = 187,200
\]

For the interest:

\[
\text{Interest Earned} = 

Learn how to calculate the total deposits and interest earned for an IRA account where $400 is deposited monthly over 39 years. The final account balance is $1,474,258.37. Understand key concepts like compound interest and how to compute the difference between total deposits and final balance. Suitable for students in Grades 9-12.

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