Based on provided metrics, what is the net annual growth rate for a population of 10,000 experiencing 100 births, 40 deaths, 10 immigrants, and 30 emigrants?

To determine the net annual growth rate of a population, the formula used is:

[

\text{Net Growth Rate} = \frac{\text{(Births - Deaths) + (Immigrants - Emigrants)}}{\text{Initial Population}} \times 100

]

In this scenario, the population starts at 10,000 individuals, and the metrics provided are as follows:

• Births: 100

• Deaths: 40

• Immigrants: 10

• Emigrants: 30

Using the formula, we first calculate the net change in the population:

1. Net Births = Births - Deaths = 100 - 40 = 60

2. Net Immigration = Immigrants - Emigrants = 10 - 30 = -20

Combining these values gives us:

[

\text{Net Change} = \text{Net Births} + \text{Net Immigration} = 60 - 20 = 40

]

Thus, the population after accounting for births, deaths, immigration, and emigration would be:

[

\text{New Population} = \text{Initial Population}