The population of a small town in central Washington is growing at an exponential rate. In 2017 the population was 22000 people. In 2028, the population grew to 23876 people. If the growth rate continues at the same rate, what will the population be in 2040? Use P = Poet, where t is the number of years since 2017, k is the growth rate (as a decimal) and Po is the initial population. The growth rate (as a decimal) is The population in 2040 is Round to 5 decimal places. Round to the nearest whole person.
The population of a small town in central Washington is growing at an exponential rate. In 2017 the population was 22000 people. In 2028, the population grew to 23876 people. If the growth rate continues at the same rate, what will the population be in 2040? Use P = Poet, where t is the number of years since 2017, k is the growth rate (as a decimal) and Po is the initial population. The growth rate (as a decimal) is The population in 2040 is Round to 5 decimal places. Round to the nearest whole person.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![The population of a small town in central Washington is growing at an exponential rate. In 2017 the population was 22,000 people. In 2028, the population grew to 23,876 people. If the growth rate continues at the same rate, what will the population be in 2040? Use \( P = P_0 e^{kt} \), where \( t \) is the number of years since 2017, \( k \) is the growth rate (as a decimal), and \( P_0 \) is the initial population.
The growth rate (as a decimal) is [____]. Round to 5 decimal places.
The population in 2040 is [____]. Round to the nearest whole person.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F57a80892-6d38-4c33-b12d-e676cd98c4f8%2F28f713db-2fbe-4003-9156-d90039d3afe1%2Fqm0g7yc_processed.png&w=3840&q=75)
Transcribed Image Text:The population of a small town in central Washington is growing at an exponential rate. In 2017 the population was 22,000 people. In 2028, the population grew to 23,876 people. If the growth rate continues at the same rate, what will the population be in 2040? Use \( P = P_0 e^{kt} \), where \( t \) is the number of years since 2017, \( k \) is the growth rate (as a decimal), and \( P_0 \) is the initial population.
The growth rate (as a decimal) is [____]. Round to 5 decimal places.
The population in 2040 is [____]. Round to the nearest whole person.
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