In the year 2000, the population of a small city was 40,000. The population grows at a rate of r(t) = 1300 e 0.04t people per year t years after 2000. By 2022, the population will be growing by people per year. (Round to nearest integer.)
In the year 2000, the population of a small city was 40,000. The population grows at a rate of r(t) = 1300 e 0.04t people per year t years after 2000. By 2022, the population will be growing by people per year. (Round to nearest integer.)
Chapter10: Exponential And Logarithmic Functions
Section10.5: Solve Exponential And Logarithmic Equations
Problem 10.87TI: Researchers recorded that a certain bacteria population grew from 100 to 500 in 6 hours. At this...
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![### Population Growth Calculation
In the year 2000, the population of a small city was 40,000. The population grows at a rate of \( r(t) = 1300e^{0.04t} \) people per year \( t \) years after 2000.
By 2022, the population will be growing by \( \boxed{} \) people per year. (Round to nearest integer.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe4b0b4e2-88c2-4896-b905-dcd3cba1ae99%2Fdcab700f-b26b-4fb5-bda9-ac59ff05f341%2F3rhjhx1_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Population Growth Calculation
In the year 2000, the population of a small city was 40,000. The population grows at a rate of \( r(t) = 1300e^{0.04t} \) people per year \( t \) years after 2000.
By 2022, the population will be growing by \( \boxed{} \) people per year. (Round to nearest integer.)
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