Answer :
Final answer:
To calculate population growth using the formula Population = Initial Population * (1 + Growth Rate/100)^N. Population after 10 years is 3,940,000. It would take approximately 17.5701 years for the population to reach 8 million.
Explanation:
To calculate the population growth, we can use the formula:
Population = Initial Population * (1 + Growth Rate/100)^N
1. For the first question, if the current population is 3 million and the annual growth rate is 4%, the population after 10 years would be:
- Population = 3,000,000 * (1 + 4/100)^10 = 3,940,000
2. To find out how long it would take for the population to reach 8 million, we can rearrange the formula and solve for N:
8,000,000 = 3,000,000 * (1 + 4/100)^N
Taking the logarithm of both sides, we get:
N = log(8,000,000/3,000,000) / log(1 + 4/100) ∼ 17.5701
Therefore, it would take approximately 17.5701 years for the population to reach 8 million.
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