The population of a town is 30000. If every year the population increases by…

To solve this problem, we need to apply the formula for compound growth, which is:

Final Population = Initial Population × (1 + rate)^time

Step-by-Step Calculation
Identify the variables:

Initial Population (P) = 30,000

Rate (r) = 20% or 0.20

Time (t) = 3 years

Set up the formula:
Final Population = 30,000 × (1 + 0.20)³
Final Population = 30,000 × (1.2)³

Calculate the power:
1.2 × 1.2 = 1.44
1.44 × 1.2 = 1.728

Calculate the final result:
Final Population = 30,000 × 1.728 = 51,840