(1)   (a) Solve the following:      (i) Assuming that this growth rate continues, derive a model to represent the population P (in billions of people) in the year t.  (ii) From the model derived in (i), approximately when will the population of the world be 11.2 billion people?    (b) The population of the world in 2015 was 9.75 billion people and was growing at a rate of 1.25% per year.   (i) Assuming that this growth rate continues, derive a model to represent the population P (in billions of people) in year t.   (ii) From the model derived in (i), approximately when will the population of the world be 11.2 billion people?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 14EQ
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(1)  

(a) Solve the following: 

    (i) Assuming that this growth rate continues, derive a model to represent the population P (in billions of people) in the year t. 

(ii) From the model derived in (i), approximately when will the population of the world be 11.2 billion people? 

 

(b) The population of the world in 2015 was 9.75 billion people and was growing at a rate of 1.25% per year. 

 (i) Assuming that this growth rate continues, derive a model to represent the population P (in billions of people) in year t.  

(ii) From the model derived in (i), approximately when will the population of the world be 11.2 billion people? 

 

 

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