the population of a certain city is 1.3 million people. if the population is growing at the rate of 4% per year what will the population be in 8 years
pop = 1.3(1.04)^8
= ..... million
To find the population of the city in 8 years, you can use the formula for calculating exponential growth:
Population = Initial Population × (1 + Growth Rate)^Number of Years
In this case, the initial population is 1.3 million people and the growth rate is 4% per year. To convert the growth rate to a decimal, divide it by 100: 4% ÷ 100 = 0.04. The number of years is 8.
Now we can substitute these values into the formula:
Population = 1.3 million × (1 + 0.04)^8
Calculating the exponential growth:
Population = 1.3 million × (1.04)^8
Population = 1.3 million × 1.3604
Now we can calculate the final population:
Population ≈ 1.768 million (rounded to the nearest thousand)
Therefore, the population of the city will be approximately 1.768 million people in 8 years.