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In a certain region, about 6% of a city's population moves to the surrounding suburbs each year, and about 2% of the suburban population moves into the city. In 2020, there were 9,750,000 residents in the city and 900,000 residents in the suburbs. Set up a difference equation that describes this situation, where x is the initial population in 2020. Then estimate the populations in the city and in the suburbs two years later, in 2022. (Ignore other factors that might influence the population sizes.) Set up a difference equation that describes this situation, where x is the initial population in 2020. x₁ = Mx0 = (Type an integer or decimal for each matrix element. Do not perform the calculation.)

In a certain region, about 6% of a city's population moves to the surrounding suburbs each year, and about 2% of the suburban population moves into the city. In 2020, there were 9,750,000 residents in the city and 900,000 residents in the suburbs. Set up a difference equation that describes this situation, where x is the initial population in 2020. Then estimate the populations in the city and in the suburbs two years later, in 2022. (Ignore other factors that might influence the population sizes.) Set up a difference equation that describes this situation, where x is the initial population in 2020. x₁ = Mx0 = (Type an integer or decimal for each matrix element. Do not perform the calculation.)

Advanced Engineering Mathematics
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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In a certain region, about 6% of a city's population moves to the surrounding suburbs each year, and about 2% of the suburban population moves into the city. In 2020, there were 9,750,000 residents in the city and 900,000 residents in the suburbs. Set up a difference equation that describes this situation, where x is the initial population in 2020. Then estimate the populations in the city and in the suburbs two years later, in 2022. (Ignore other factors that might influence the population sizes.) Set up a difference equation that describes this situation, where x is the initial population in 2020. x₁ = Mx0 = (Type an integer or decimal for each matrix element. Do not perform the calculation.)
Transcribed Image Text:In a certain region, about 6% of a city's population moves to the surrounding suburbs each year, and about 2% of the suburban population moves into the city. In 2020, there were 9,750,000 residents in the city and 900,000 residents in the suburbs. Set up a difference equation that describes this situation, where x is the initial population in 2020. Then estimate the populations in the city and in the suburbs two years later, in 2022. (Ignore other factors that might influence the population sizes.) Set up a difference equation that describes this situation, where x is the initial population in 2020. x₁ = Mx0 = (Type an integer or decimal for each matrix element. Do not perform the calculation.)
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