A city has a population of 340,000 people. Suppose that each year the population grows by 6%. What will the population be after 5 years?Use the calculator provided and round your answer to the nearest whole number.
Question
A city has a population of 340,000 people. Suppose that each year the population grows by 6%. What will the population be after 5 years?Use the calculator provided and round your answer to the nearest whole number.
Solution
To calculate the population after 5 years with a 6% annual growth rate, you can use the formula for compound interest, which is:
P = P0 * (1 + r)^n
where: P is the future population, P0 is the initial population, r is the annual growth rate (in decimal form), and n is the number of years.
Here's how you can calculate it:
-
Convert the annual growth rate from a percentage to a decimal by dividing by 100: 6/100 = 0.06.
-
Substitute the values into the formula: P = 340,000 * (1 + 0.06)^5.
-
Calculate the value inside the parentheses: 1 + 0.06 = 1.06.
-
Raise 1.06 to the power of 5. You can use a calculator for this step.
-
Multiply the result by the initial population (340,000).
-
Round the result to the nearest whole number to get the future population.
By following these steps, you should be able to calculate the population of the city after 5 years.
Similar Questions
A town has a population of 10000 and grows at 5% every year. What will be the population after 5 years, to the nearest whole number?
The population of a city decreases by 1.7% per year. If this year's population is 366,000, what will next year's population be, to the nearest individual?
Because of an economic downturn, the population of a certain urban area declines at a rate of 1.5% per year. Initially, the population is 165000. To the nearest person, what is the population after 5 years?
A city has a population of 360.000 people. Suppose that each year the population grows by 7,25%. What will the population be after 14 years?
A town has a population of 2, point, 3, 3, times, 10, to the power 42.33×10 4 and grows at a rate of 7% every year. Which equation represents the town’s population after 6 years?Answer
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.