In the year 2000, the population of a certain country was 277 million with an estimated growth rate of 0.5% per year. a. Based on these figures, find the doubling time and project the population in 2120. b. Suppose the actual growth rates are just 0.2 percentage points lower and higher than 0.5% per year (0.3% and 0.7%). What are the resulting doubling times and projected 2120 population?
In the year 2000, the population of a certain country was 277 million with an estimated growth rate of 0.5% per year. a. Based on these figures, find the doubling time and project the population in 2120. b. Suppose the actual growth rates are just 0.2 percentage points lower and higher than 0.5% per year (0.3% and 0.7%). What are the resulting doubling times and projected 2120 population?
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 40E
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find both a and b
![In the year 2000, the population of a certain country was 277 million with an estimated growth rate of 0.5% per year.
a. Based on these figures, find the doubling time and project the population in 2120.
b. Suppose the actual growth rates are just 0.2 percentage points lower and higher than 0.5% per year (0.3% and 0.7%). What are the resulting
doubling times and projected 2120 population?
a. Let y(t) be the population of the country, in millions, t years after the year 2000. Give the exponential growth function for this country's population.
y(t) =
(Type an expression. Round coefficients to four decimal places as needed.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F56b024f2-889e-4825-8ef4-3da7835fb097%2Fe58cf792-902f-4d63-b859-915425b74d09%2F91wlu4_processed.png&w=3840&q=75)
Transcribed Image Text:In the year 2000, the population of a certain country was 277 million with an estimated growth rate of 0.5% per year.
a. Based on these figures, find the doubling time and project the population in 2120.
b. Suppose the actual growth rates are just 0.2 percentage points lower and higher than 0.5% per year (0.3% and 0.7%). What are the resulting
doubling times and projected 2120 population?
a. Let y(t) be the population of the country, in millions, t years after the year 2000. Give the exponential growth function for this country's population.
y(t) =
(Type an expression. Round coefficients to four decimal places as needed.)
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