Step-by-step explanation:
Let's calculate:
1. **Final maturity value:**
- For the first investment:
\[ \text{Maturity value} = 14500 + 14500 \times 0.0145 \times \frac{270}{365} \]
\[ \text{Maturity value} \approx 14500 + 14500 \times 0.0145 \times 0.7397 \]
\[ \text{Maturity value} \approx 14500 + 14500 \times 0.0107 \]
\[ \text{Maturity value} \approx 14500 + 155.65 \]
\[ \text{Maturity value} \approx 14655.65 \]
- For the second investment:
\[ \text{Maturity value} = 14655.65 + 14655.65 \times 0.0172 \times \frac{325}{365} \]
\[ \text{Maturity value} \approx 14655.65 + 14655.65 \times 0.0172 \times 0.8904 \]
\[ \text{Maturity value} \approx 14655.65 + 14655.65 \times 0.01536 \]
\[ \text{Maturity value} \approx 14655.65 + 225.18 \]
\[ \text{Maturity value} \approx 14880.83 \]
2. **Total interest earned:**
- Total interest earned = Final maturity value - Initial principal
- Total interest earned = $14880.83 - $14500
- Total interest earned ≈ $380.83
3. **Interest earned on each investment:**
- Interest earned on the first investment = Maturity value of first investment - Initial principal
- Interest earned on the first investment ≈ $14655.65 - $14500 ≈ $155.65
- Interest earned on the second investment = Maturity value of second investment - Maturity value of first investment
- Interest earned on the second investment ≈ $14880.83 - $14655.65 ≈ $225.18
So,
- The final maturity value is approximately $14880.83.
- The total interest earned over the entire period is approximately $380.83.
- The interest earned on the first investment is approximately $155.65.
- The interest earned on the second investment is approximately $225.18.
