Question

Suppose a city with population 100,000 has been growing at a rate of 2% per year. If this rate continues, find the population of this city in 19 years.

COTE
The population in 19 years will be approximately (Round to the nearest whole number as needed.)

Answer 1

138,488

Explanation:

To find the population of the city in 19 years, we can use the formula for compound interest:

Population = Initial Population × (1 + Growth Rate)^Number of Years

Given that the initial population is 100,000 and the growth rate is 2% per year, we can plug in these values into the formula:

Population = 100,000 × (1 + 0.02)^19

Calculating this expression:

Population = 100,000 × (1.02)^19 ≈ 138,488.12

Rounding this to the nearest whole number, the population of the city in 19 years would be approximately 138,488.

Therefore, the population of the city in 19 years, rounding to the nearest whole number, is 138,488.