1. **State the problem:** The forestland is decreasing by 2% per year. We start with 4,500,000 acres and want to find the amount after 5 years.
2. **Formula used:** For exponential decay, the amount after $t$ years is given by:
$$ A = A_0 (1 - r)^t $$
where $A_0$ is the initial amount, $r$ is the decay rate (as a decimal), and $t$ is the time in years.
3. **Identify values:**
- Initial amount $A_0 = 4,500,000$
- Decay rate $r = 0.02$
- Time $t = 5$
4. **Calculate:**
$$ A = 4,500,000 \times (1 - 0.02)^5 = 4,500,000 \times 0.98^5 $$
5. **Evaluate $0.98^5$:**
$$ 0.98^5 = 0.9039207968 $$
6. **Multiply:**
$$ A = 4,500,000 \times 0.9039207968 = 4,067,643.5856 $$
7. **Round to nearest whole number:**
$$ A \approx 4,067,644 $$
**Final answer:** After 5 years, there will be approximately 4,067,644 acres of forestland remaining.
Forestland Decay C448C2
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