An investment firm invested $1200 into two accounts. $600 went to an 4% annual interest account. The rest went to a 15% annual rate account. The interest for first year amounted to

Let's solve this problem step by step:

### Given:
- **Total Investment**: $1,200
- **Amount in First Account**: $600 at 4% annual interest
- **Amount in Second Account**: The remaining amount at 15% annual interest

### Step 1: Determine the amount in the second account.
\[
\text{Amount in the second account} = 1200 - 600 = 600 \text{ dollars}
\]

### Step 2: Calculate the interest for the first account (4% interest).
\[
\text{Interest from the first account} = 600 \times \frac{4}{100} = 600 \times 0.04 = 24 \text{ dollars}
\]

### Step 3: Calculate the interest for the second account (15% interest).
\[
\text{Interest from the second account} = 600 \times \frac{15}{100} = 600 \times 0.15 = 90 \text{ dollars}
\]

### Step 4: Calculate the total interest earned.
\[
\text{Total Interest} = 24 + 90 = 114 \text{ dollars}
\]

### Answer:
The interest for the first year amounted to **$114**.

Do you have any questions or would you like further details on any step?

### Related Questions:
1. How would the total interest change if the second account had a lower interest rate?
2. What is the impact of different amounts being invested in the two accounts?
3. How would the total interest change if the entire $1200 was invested in the 15% interest account?
4. What would be the effect of investing $800 in the 4% account and $400 in the 15% account?
5. How does the interest rate difference affect the overall return on investment?

### Tip:
When dealing with multiple accounts, consider both the interest rates and the amounts invested to maximize your returns.

Learn how to calculate interest on a $1200 investment with $600 at 4% and the rest at 15% annual rates. Get a step-by-step solution with detailed calculations. Suitable for Grades 7-9.

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