1. **State the problem:** A town has a population of 18000 and grows at 2% every year. We want to find the population after 11 years, rounded to the nearest whole number.
2. **Formula used:** The population growth can be modeled by the exponential growth formula:
$$ P(t) = P_0 \times (1 + r)^t $$
where:
- $P(t)$ is the population after $t$ years,
- $P_0$ is the initial population,
- $r$ is the growth rate (as a decimal),
- $t$ is the number of years.
3. **Identify values:**
- $P_0 = 18000$
- $r = 0.02$ (2% growth rate)
- $t = 11$
4. **Calculate:**
$$ P(11) = 18000 \times (1 + 0.02)^{11} = 18000 \times 1.02^{11} $$
5. **Evaluate the power:**
$$ 1.02^{11} \approx 1.2434 $$
6. **Multiply:**
$$ P(11) = 18000 \times 1.2434 = 22381.2 $$
7. **Round to nearest whole number:**
$$ \boxed{22381} $$
So, the population after 11 years will be approximately 22381 people.
Population Growth A4844C
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