Answer:
(a) To find the population before one year, we need to account for the population growth rate of 3% per year and the number of deaths due to the epidemic.
First, let's calculate the population before the epidemic by taking into account the 3% growth rate for three years. We can use the formula for compound interest:
Population before epidemic = Population after three years / (1 + growth rate)^number of years
Population before epidemic = 37000 / (1 + 0.03)^3
Simplifying this calculation, we get:
Population before epidemic = 37000 / (1.03)^3
Population before epidemic ≈ 33942.91 (approximately)
(b) To find the present population of the village, we need to consider the population before the epidemic and account for the deaths of 696 people.
Present population = Population before epidemic - Number of deaths
Present population ≈ 33942.91 - 696
Present population ≈ 33246.91 (approximately)
Therefore, the present population of the village is approximately 33,246.
(c) To calculate the population after 2 years, we need to consider the present population and the migration of 6040 people at the beginning of the year.
Population after 2 years = Present population + Number of migrants
Population after 2 years ≈ 33246.91 + 6040
Population after 2 years ≈ 39286.91 (approximately)
Therefore, the population of the village after 2 years, considering the growth rate, deaths, and migration, is approximately 39 287.
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Explanation: