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.

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.

Question

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 exponential
model, A(t) = Aoekt.
%3D
India: A(t) = 1173.1e0.0008t
Iraq: A(t) = 31.5e0.019t
Japan: A(t) = 127.3e-0.006t
%3D
%3D
Russia:A(t) = 141.9e¬0.005t
%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.

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