1. **State the problem:**
We have a product with a current selling price of 325.
The price declines by 10% per year due to obsolescence.
We want to find the selling price after 4 years.
2. **Formula used:**
The price decline is exponential decay, so we use the formula for depreciation:
$$ P_t = P_0 \times (1 - r)^t $$
where:
- $P_t$ is the price after $t$ years,
- $P_0$ is the initial price,
- $r$ is the rate of decline per year (as a decimal),
- $t$ is the number of years.
3. **Apply the values:**
- $P_0 = 325$
- $r = 0.10$
- $t = 4$
4. **Calculate:**
$$ P_4 = 325 \times (1 - 0.10)^4 = 325 \times 0.90^4 $$
5. **Simplify:**
$$ 0.90^4 = 0.90 \times 0.90 \times 0.90 \times 0.90 = 0.6561 $$
6. **Final price:**
$$ P_4 = 325 \times 0.6561 = 213.2325 $$
7. **Answer:**
The selling price after 4 years will be approximately **213.23**.
Price Decline 6C92E3
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