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The population of a certain country was 37.5 million people in the year of 1985. If population growth is assumed to obey the following model: dP 0.009P dt P(0) = 37.5 million where is the size of the population over time and is measured in years. a) Use separation of variables to determine the number of people the company will have population in the year 2085. b) How long will it take for the initial population to double? c) Do you know any other way to solve the problem? Note: Solve step by step to arrive at the result of each of the items. Note2: Solve the 3 parts (a, b, c)

The population of a certain country was 37.5 million people in the year of 1985. If population growth is assumed to obey the following model: dP 0.009P dt P(0) = 37.5 million where is the size of the population over time and is measured in years. a) Use separation of variables to determine the number of people the company will have population in the year 2085. b) How long will it take for the initial population to double? c) Do you know any other way to solve the problem? Note: Solve step by step to arrive at the result of each of the items. Note2: Solve the 3 parts (a, b, c)

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 6EQ: Redo Exercise 5, assuming that the house blend contains 300 grams of Colombian beans, 50 grams of...
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Perform the exercise that is in the image, step by step to arrive at the result of what is requested in the 3 sections (a, b, c)

Note: Solve step by step to arrive at the result of each of the items.

Note2: Solve the 3 parts (a, b, c)

The population of a certain country was 37.5 million people in the year of 1985. If population growth is assumed to obey the following model: dP = 0.009P dt P(0) = 37.5 million %3D where is the size of the population over time and is measured in years. a) Use separation of variables to determine the number of people the company will have population in the year 2085. b) How long will it take for the initial population to double? c) Do you know any other way to solve the problem? Note: Solve step by step to arrive at the result of each of the items. Note2: Solve the 3 parts (a, b, c)
Transcribed Image Text:The population of a certain country was 37.5 million people in the year of 1985. If population growth is assumed to obey the following model: dP = 0.009P dt P(0) = 37.5 million %3D where is the size of the population over time and is measured in years. a) Use separation of variables to determine the number of people the company will have population in the year 2085. b) How long will it take for the initial population to double? c) Do you know any other way to solve the problem? Note: Solve step by step to arrive at the result of each of the items. Note2: Solve the 3 parts (a, b, c)
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