12. The following exponential models describes the population (in million of people) of the indicated country starting at 2010. (Let t=0 correspond to the year 2010). All of the equations use the exponen model, A(t) = Aoekt. %3D India: A(t) = 1173.1e0.0008t Iraq: A(t) = 31.5e0.019t Japan: A(t) = 127.3e-0.006t Russia:A(t) = 141.9e¬0.005t %3D %3D Based on the exponential models for each country, answer the following questions: (a) What was the population (in millions of people) of Japan in 2010? (b) Which country has the greatest growth rate? What is the growth rate? (State as a percentage.) (c) Using the exponential model for Japan's population, in what year will Japan's population drop to 100 million people? Show all necessary algebraic work. Round to the nearest year.

12. The following exponential models describes the population (in million of people) of the indicated country starting at 2010. (Let t=0 correspond to the year 2010). All of the equations use the exponen model, A(t) = Aoekt. %3D India: A(t) = 1173.1e0.0008t Iraq: A(t) = 31.5e0.019t Japan: A(t) = 127.3e-0.006t Russia:A(t) = 141.9e¬0.005t %3D %3D Based on the exponential models for each country, answer the following questions: (a) What was the population (in millions of people) of Japan in 2010? (b) Which country has the greatest growth rate? What is the growth rate? (State as a percentage.) (c) Using the exponential model for Japan's population, in what year will Japan's population drop to 100 million people? Show all necessary algebraic work. Round to the nearest year.

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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