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In a certain region, about 6% of a city’s population moves

Linear Algebra and Its Applications | 5th Edition | ISBN: 9780321982384 | Authors: David C. Lay; Steven R. Lay; Judi J. McDonald ISBN: 9780321982384 49

Solution for problem 2E Chapter 1.10

Linear Algebra and Its Applications | 5th Edition

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Linear Algebra and Its Applications | 5th Edition | ISBN: 9780321982384 | Authors: David C. Lay; Steven R. Lay; Judi J. McDonald

Linear Algebra and Its Applications | 5th Edition

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Problem 2E

Problem 2E

In a certain region, about 6% of a city’s population moves to the surrounding suburbs each year, and about 4% of the suburban population moves into the city. In 2010, there were 10,000,000 residents in the city and 800,000 in the suburbs. Set up a difference equation that describes this situation, where x0 is the initial population in 2010. Then estimate the populations in the city and in the suburbs two years later, in 2012.

Step-by-Step Solution:

Answer:

   Step 1:

          In this problem we need to Set up a difference equation that describes given situation  and we have to  estimate the populations  in the   given city and in the  suburbs two years later , in 2012.

        Given : of a city’s population moves to the surrounding suburbs each year.

       of  the suburban  population moves into the city.

         is the initial population in 2010.

         In 2010 number of residents  in the city is :  

         In 2010 number of suburbs   in the city is :  

         

Step 2 of 3

Chapter 1.10, Problem 2E is Solved
Step 3 of 3

Textbook: Linear Algebra and Its Applications
Edition: 5
Author: David C. Lay; Steven R. Lay; Judi J. McDonald
ISBN: 9780321982384

This full solution covers the following key subjects: city, suburbs, population, moves, region. This expansive textbook survival guide covers 65 chapters, and 1898 solutions. Since the solution to 2E from 1.10 chapter was answered, more than 348 students have viewed the full step-by-step answer. The answer to “In a certain region, about 6% of a city’s population moves to the surrounding suburbs each year, and about 4% of the suburban population moves into the city. In 2010, there were 10,000,000 residents in the city and 800,000 in the suburbs. Set up a difference equation that describes this situation, where x0 is the initial population in 2010. Then estimate the populations in the city and in the suburbs two years later, in 2012.” is broken down into a number of easy to follow steps, and 75 words. Linear Algebra and Its Applications was written by and is associated to the ISBN: 9780321982384. The full step-by-step solution to problem: 2E from chapter: 1.10 was answered by , our top Math solution expert on 07/20/17, 03:54AM. This textbook survival guide was created for the textbook: Linear Algebra and Its Applications , edition: 5.

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In a certain region, about 6% of a city’s population moves