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A model for the population P(t) in a suburb of a large city is given by the initial-value problem dp P(10-110-7P), P(0) = 4000, dt where t is measured in months. What is the limiting value of the population? At what time will the population be equal to one-half of this limiting value? (Round your answer to one decimal place.) months

A model for the population P(t) in a suburb of a large city is given by the initial-value problem dp P(10-110-7P), P(0) = 4000, dt where t is measured in months. What is the limiting value of the population? At what time will the population be equal to one-half of this limiting value? (Round your answer to one decimal place.) months

College Algebra
College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.7: Exponential And Logarithmic Models
Problem 24SE: The formula for an increasing population is given by p(t)=P0ert where P0 is the initial population...
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3.2-2

A model for the population P(t) in a suburb of a large city is given by the initial-value problem dp P(10-110-7P), P(0) = 4000, dt where t is measured in months. What is the limiting value of the population? At what time will the population be equal to one-half of this limiting value? (Round your answer to one decimal place.) months
Transcribed Image Text:A model for the population P(t) in a suburb of a large city is given by the initial-value problem dp P(10-110-7P), P(0) = 4000, dt where t is measured in months. What is the limiting value of the population? At what time will the population be equal to one-half of this limiting value? (Round your answer to one decimal place.) months
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where t is measured in months. What is the limiting value of the population?

At what time will the population be equal to one-half of this limiting value? (Round your answer to one decimal place.)

A model for the population P(t) in a suburb of a large city is given by the initial-value problem dp P(10-110-7P), P(0) = 4000, dt where t is measured in months. What is the limiting value of the population? At what time will the population be equal to one-half of this limiting value? (Round your answer to one decimal place.) months
Transcribed Image Text:A model for the population P(t) in a suburb of a large city is given by the initial-value problem dp P(10-110-7P), P(0) = 4000, dt where t is measured in months. What is the limiting value of the population? At what time will the population be equal to one-half of this limiting value? (Round your answer to one decimal place.) months
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