Calculate the population of a village after one year given an initial population of 10,000, an annual growth rate of 4%, and migration of 100 people at the end of year 1.

Here are the solutions to your problems:

1. Population Growth Problem

• Initial population = 10,000
• Annual growth rate = 4%
• Migration at end of year 1 = 100 people

a) Find the population of the village after one year.

Step 1: Calculate population increase due to growth in the first year.

$$\text{Increase} = 10000 \times 4\% = 10000 \times \frac{4}{100} = 400$$

Step 2: Calculate population after growth.

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