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To solve this problem, we need to determine two things:

1. **Total Deposited**: The total amount of money Seth deposited over the length of the investment.
2. **Interest Earned (I)**: The amount of interest earned upon retirement.

### Step-by-Step Solution

#### 1. Calculate the Total Deposited

Seth deposits $350 each month from the age of 32 to 65. The time period between these ages is:
\[
65 - 32 = 33 \text{ years}
\]

Since he deposits monthly, we need to convert the years to months:
\[
33 \times 12 = 396 \text{ months}
\]

The total amount deposited can be calculated by multiplying the monthly deposit by the total number of months:
\[
\text{Total Deposited} = 350 \times 396 = 138,600
\]

#### 2. Calculate the Interest Earned

The total amount in Seth's retirement savings upon retirement is $545,525.93. The interest earned is the total savings minus the total deposited:
\[
I = \text{Total Savings} - \text{Total Deposited}
\]
\[
I = 545,525.93 - 138,600 = 406,925.93
\]

### Final Answers

- **Total Deposited**: $138,600
- **Interest Earned (I)**: $406,925.93

Would you like to ask anything more about this problem?

### Related Questions:

1. How is compound interest different from simple interest in such retirement savings?
2. What would happen to the final amount if Seth deposited a different amount each month?
3. How can changing the interest rate affect the total interest earned?
4. What is the impact of starting to save earlier or later in such a retirement plan?
5. How does inflation affect the value of retirement savings over time?

**Tip:** Always start saving early to maximize the compound interest effect over time!

Seth starts an IRA at the age of 32 to save for retirement. He deposits $350 each month. Upon retirement at the age of 65, his retirement savings is $545,525.93. Determine the amount of money Seth deposited over the length of the investment and how much he made in interest upon retirement.

Learn how to calculate the total amount deposited and the interest earned on a retirement savings account. Seth deposited $350 each month from age 32 to 65, with a final savings of $545,525.93. This problem demonstrates annuity calculations and interest growth.

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