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If the population of a town is 12,000 and the population increases at the rate of 10% per annum, then find the population after 3
years.
15,972
12,200
11,200
10,200
- The initial population of the town is 12,000.
- The population increases at a rate of 10% per annum.
- To calculate the population after 3 years, use the compound interest formula:
$$
\text{Final Population} = \text{Initial Population} \times (1 + \text{Rate})^{\text{Time}}
- Plugging in the values:
\text{Final Population} = 12,000 \times (1 + 0.10)^3
- Simplify further:
\text{Final Population} = 12,000 \times (1.1)^3 = 12,000 \times 1.331 = 15,972
- So, the population after 3 years is 15,972.
Option 1: 15,972
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