question\na town has a population of 20000 and grows at 4% every year. what will be the population after 6…

question\na town has a population of 20000 and grows at 4% every year. what will be the population after 6 years, to the nearest whole number?

question\na town has a population of 20000 and grows at 4% every year. what will be the population after 6 years, to the nearest whole number?

Answer

Explanation:

Step1: Identify the formula

The formula for compound - growth is (P = P_0(1 + r)^t), where (P_0) is the initial population, (r) is the growth rate, and (t) is the time.

Step2: Substitute the values

Given (P_0=20000), (r = 0.04) (since (4%=0.04)), and (t = 6). Substitute into the formula: (P=20000\times(1 + 0.04)^6). First, calculate ((1 + 0.04)^6). ((1+0.04)^6=1.04^6). Using a calculator, (1.04^6=1.04\times1.04\times1.04\times1.04\times1.04\times1.04\approx1.265319018).

Step3: Calculate the final population

Then (P = 20000\times1.265319018). (P=20000\times1.265319018 = 25306.38036).

Answer:

(25306)