10. In 2013, the population of a city was 715,000, with an annual growth rate of 0.013% a) Find a mathematical model that describes the population t years after 2013. The model is P b) the annual rate of increase remains the same, use this model to predict the population of the country in the year 2021. Round to the nearest wholetumber,
10. In 2013, the population of a city was 715,000, with an annual growth rate of 0.013% a) Find a mathematical model that describes the population t years after 2013. The model is P b) the annual rate of increase remains the same, use this model to predict the population of the country in the year 2021. Round to the nearest wholetumber,
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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![**Question 10: Population Growth Model**
In 2011, the population of a city was 715,000, with an annual growth rate of 0.013%.
a) **Modeling Population Growth**
Find a mathematical model that describes the population \( t \) years after 2011.
\[
\text{The model is } P = \_\_\_\_\_\_\_\_\_\_
\]
b) **Population Prediction for 2021**
If the annual rate of increase remains the same, use this model to predict the population of the country in the year 2021. Round to the nearest whole number.
\[
\text{Predicted Population: }\_\_\_\_\_\_\_\_\_\_
\]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F49529d2a-88a8-46ad-bbba-6d4044d677b4%2F3eb12586-7a42-4ec0-b53d-68abe44e6003%2Fmjfakmm_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Question 10: Population Growth Model**
In 2011, the population of a city was 715,000, with an annual growth rate of 0.013%.
a) **Modeling Population Growth**
Find a mathematical model that describes the population \( t \) years after 2011.
\[
\text{The model is } P = \_\_\_\_\_\_\_\_\_\_
\]
b) **Population Prediction for 2021**
If the annual rate of increase remains the same, use this model to predict the population of the country in the year 2021. Round to the nearest whole number.
\[
\text{Predicted Population: }\_\_\_\_\_\_\_\_\_\_
\]
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