Suppose that demographic studies show that each year about 8% of a city's population moves to the suburbs (and 92% stays in the city), while 5% of the suburban population moves to the city (and 95% remains in the suburbs). In the year 2000. 62.4% of the population of the region lived in the city and 37.6% lived in the suburbs. What percentage of the population of the region would eventually live in the city if the migration probabilities were to remain constant over many years? For simplicity, ignore other influences on the population such as births. deaths. and migration into and out of the region 44.2% O 61.5% O 38.5% 50%

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 1EQ: 1. Suppose that, in Example 2.27, 400 units of food A, 600 units of B, and 600 units of C are placed...
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Suppose that demographic studies show that each year about 8% of a city's population moves to the
suburbs (and 92% stays in the city), while 5% of the suburban population moves to the city (and
95% remains in the suburbs). In the year 2000. 62.4% of the population of the region lived in the
city and 37.6% lived in the suburbs. What percentage of the population of the region would
eventually live in the city if the migration probabilities were to remain constant over many
years? For simplicity, ignore other influences on the population such as births. deaths, and migration
into and out of the region
44.2%
O 61.5%
38.5%
50%
Transcribed Image Text:Suppose that demographic studies show that each year about 8% of a city's population moves to the suburbs (and 92% stays in the city), while 5% of the suburban population moves to the city (and 95% remains in the suburbs). In the year 2000. 62.4% of the population of the region lived in the city and 37.6% lived in the suburbs. What percentage of the population of the region would eventually live in the city if the migration probabilities were to remain constant over many years? For simplicity, ignore other influences on the population such as births. deaths, and migration into and out of the region 44.2% O 61.5% 38.5% 50%
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