Explanation Given Information: The birth rate in a certain city is 3.5 % per year, and the death rate is 2 % per year. There is a net movement of population out of the city at a steady rate of 300 people per year. The population in 2009 was 5 million. Consider the population after n years to be u n . The initial population is 5 million, thus the initial population u 0 is given by, u 0 = 5 The value of ‘ a ’ is the changes that occur in the population, like birth and death, every year. Thus, the value of a is, a = 1 + 0.035 − 0.02 The value of b is − 0.0003 million, since 300 people move out of the city, each year. Thus, b = 0.0003 Consider the formula for differential equation, y n = a y n − 1 + b Substitute 1 + 0.035 − 0.02 for a and 0.0003 for b , u n = ( 1 + 0.035 − 0.02 ) u n − 1 − 0.0003 Use the ti-83 graphing calculator to solve the differential equation, Step 1: Open the ti-83 graphing calculator and press ON key. Step 2: Press the [MODE] key and select ‘Seq’ in the 4 th row. Step 3: Press the [ Y = ] key and enter the differential equation as below: n M i n = 0 u ( n ) = ( 1 + 0.035 − 0.02 ) u ( n − 1 ) − 0

Finite Mathematics & Its Applications (12th Edition)

12th Edition

ISBN: 9780134437767

Author: Larry J. Goldstein, David I. Schneider, Martha J. Siegel, Steven Hair

Publisher: PEARSON

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Chapter 12.5, Problem 17E

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The population in 2014, and the year when the population will exceed 6 million and the year when population gets doubled to 10 million.

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Chapter 12.5, Problem 16E

Chapter 12.5, Problem 18E

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Chapter 12 Solutions

Finite Mathematics & Its Applications (12th Edition)

Ch. 12.1 - Consider the difference equation...Ch. 12.1 - Prob. 2CYU Ch. 12.1 - Prob. 1E Ch. 12.1 - Prob. 2E Ch. 12.1 - Prob. 3E Ch. 12.1 - Prob. 4E Ch. 12.1 - Prob. 5E Ch. 12.1 - For each of the difference equations in Exercises...Ch. 12.1 - Prob. 7E Ch. 12.1 - Prob. 8E

Ch. 12.1 - Prob. 9E Ch. 12.1 - Prob. 10E Ch. 12.1 - Prob. 11E Ch. 12.1 - Prob. 12E Ch. 12.1 - Prob. 13E Ch. 12.1 - Prob. 14E Ch. 12.1 - Prob. 15E Ch. 12.1 - Prob. 16E Ch. 12.1 - Prob. 17E Ch. 12.1 - Prob. 18E Ch. 12.1 - Prob. 19E Ch. 12.1 - Population Decline Moldova has negative population...Ch. 12.1 - Prob. 21E Ch. 12.1 - Prob. 22E Ch. 12.1 - Prob. 23E Ch. 12.1 - Prob. 24E Ch. 12.1 - Prob. 25E Ch. 12.1 - Prob. 26E Ch. 12.1 - 27. Credit Card Mr. Jones owes $1000 on a credit...Ch. 12.1 - Prob. 28E Ch. 12.1 - Prob. 29E Ch. 12.1 - Prob. 30E Ch. 12.1 - Prob. 31E Ch. 12.1 - Prob. 32E Ch. 12.1 - Prob. 33E Ch. 12.1 - Prob. 34E Ch. 12.1 - Prob. 35E Ch. 12.2 - Prob. 1CYU Ch. 12.2 - Prob. 2CYU Ch. 12.2 - Prob. 1E Ch. 12.2 - Prob. 2E Ch. 12.2 - Prob. 3E Ch. 12.2 - Prob. 4E Ch. 12.2 - Prob. 5E Ch. 12.2 - Prob. 6E Ch. 12.2 - Prob. 7E Ch. 12.2 - Prob. 8E Ch. 12.2 - Prob. 9E Ch. 12.2 - Prob. 10E Ch. 12.2 - Prob. 11E Ch. 12.2 - Prob. 12E Ch. 12.2 - Prob. 13E Ch. 12.2 - Prob. 14E Ch. 12.2 - Prob. 15E Ch. 12.2 - Prob. 16E Ch. 12.2 - Prob. 17E Ch. 12.2 - Prob. 18E Ch. 12.2 - Prob. 19E Ch. 12.2 - Prob. 20E Ch. 12.2 - Prob. 21E Ch. 12.2 - Prob. 22E Ch. 12.2 - Prob. 23E Ch. 12.2 - Prob. 24E Ch. 12.2 - Prob. 25E Ch. 12.2 - Prob. 26E Ch. 12.2 - Prob. 27E Ch. 12.2 - Prob. 28E Ch. 12.3 - Parachuting A parachutist opens her parachute...Ch. 12.3 - Prob. 2CYU Ch. 12.3 - 3. Retirement Fund Upon retirement, a person...Ch. 12.3 - Each of the graphs in Fig. 14 comes from a...Ch. 12.3 - Prob. 2E Ch. 12.3 - Prob. 3E Ch. 12.3 - Prob. 4E Ch. 12.3 - Each of the graphs in Fig. 14 comes from a...Ch. 12.3 - Prob. 6E Ch. 12.3 - Each of the graphs in Fig. 14 comes from a...Ch. 12.3 - Prob. 8E Ch. 12.3 - In Exercises 914, sketch a graph having the given...Ch. 12.3 - Prob. 10E Ch. 12.3 - In Exercises 914, sketch a graph having the given...Ch. 12.3 - Prob. 12E Ch. 12.3 - Prob. 13E Ch. 12.3 - Prob. 14E Ch. 12.3 - Prob. 15E Ch. 12.3 - Prob. 16E Ch. 12.3 - Prob. 17E Ch. 12.3 - Prob. 18E Ch. 12.3 - Prob. 19E Ch. 12.3 - Prob. 20E Ch. 12.3 - Prob. 21E Ch. 12.3 - Prob. 22E Ch. 12.3 - Prob. 23E Ch. 12.3 - Prob. 24E Ch. 12.3 - Prob. 25E Ch. 12.3 - Prob. 26E Ch. 12.3 - Prob. 27E Ch. 12.3 - Prob. 28E Ch. 12.3 - Prob. 29E Ch. 12.3 - Prob. 30E Ch. 12.3 - Prob. 31E Ch. 12.3 - Prob. 32E Ch. 12.3 - In these exercises, find a difference equation...Ch. 12.3 - Prob. 34E Ch. 12.3 - Prob. 35E Ch. 12.3 - Prob. 36E Ch. 12.4 - Prob. 1CYU Ch. 12.4 - Prob. 2CYU Ch. 12.4 - Prob. 3CYU Ch. 12.4 - Prob. 1E Ch. 12.4 - Prob. 2E Ch. 12.4 - Prob. 3E Ch. 12.4 - Prob. 4E Ch. 12.4 - Prob. 5E Ch. 12.4 - 6. Find the monthly payment on a 25-year $38,000...Ch. 12.4 - Prob. 7E Ch. 12.4 - Prob. 8E Ch. 12.4 - Prob. 9E Ch. 12.4 - Prob. 10E Ch. 12.4 - Prob. 11E Ch. 12.4 - Prob. 12E Ch. 12.4 - Prob. 13E Ch. 12.4 - In these exercises, use a table or graph of an...Ch. 12.4 - In these exercises, use a table or graph of an...Ch. 12.4 - Prob. 16E Ch. 12.5 - Glucose Infusion Glucose is being given to a...Ch. 12.5 - Light at Ocean Depths Sunlight is absorbed by...Ch. 12.5 - 1. Population Dynamics In a certain country with...Ch. 12.5 - Population Dynamics A small city with current...Ch. 12.5 - 3. Drug Absorption After a certain drug is...Ch. 12.5 - Elevation and Atmospheric Pressure The atmospheric...Ch. 12.5 - Spread of Information A sociological study was...Ch. 12.5 - Solution Concentration A cell is put into a fluid...Ch. 12.5 - Learning Curve Psychologists have found that in...Ch. 12.5 - Genetics Consider two genes A and a in a...Ch. 12.5 - Account Balance Thirty thousand dollars is...Ch. 12.5 - 10. Account Balance Rework Exercise 9, where...Ch. 12.5 - Prob. 11E Ch. 12.5 - Prob. 12E Ch. 12.5 - Prob. 13E Ch. 12.5 - Prob. 14E Ch. 12.5 - Prob. 15E Ch. 12.5 - Prob. 16E Ch. 12.5 - Prob. 17E Ch. 12.5 - Prob. 18E Ch. 12.5 - In these exercises, answer the questions by...Ch. 12.5 - Prob. 20E Ch. 12 - Explain how a sequence of numbers is generated by...Ch. 12 - Prob. 2FCCE Ch. 12 - Prob. 3FCCE Ch. 12 - Prob. 4FCCE Ch. 12 - Prob. 5FCCE Ch. 12 - Prob. 6FCCE Ch. 12 - Prob. 7FCCE Ch. 12 - Prob. 8FCCE Ch. 12 - Prob. 9FCCE Ch. 12 - Prob. 10FCCE Ch. 12 - Prob. 1RE Ch. 12 - Prob. 2RE Ch. 12 - 3. Account Balance How much money would you have...Ch. 12 - Prob. 4RE Ch. 12 - Prob. 5RE Ch. 12 - Prob. 6RE Ch. 12 - Population Dynamics The population of a certain...Ch. 12 - 8. Mortgage The monthly payment on a 30-year...Ch. 12 - Prob. 9RE Ch. 12 - Prob. 10RE Ch. 12 - Prob. 11RE Ch. 12 - Prob. 12RE Ch. 12 - Prob. 13RE Ch. 12 - Prob. 14RE Ch. 12 - Prob. 1P Ch. 12 - Prob. 2P Ch. 12 - Prob. 3P Ch. 12 - Prob. 4P Ch. 12 - Prob. 5P Ch. 12 - Prob. 6P Ch. 12 - Prob. 7P Ch. 12 - Prob. 8P Ch. 12 - Prob. 9P

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The population in 2014, and the year when the population will exceed 6 million and the year when population gets doubled to 10 million.

Solution Summary: The author explains that the population in 2014 is 5.38million. The population will exceed 6 million in 2022 and be doubled to 10 million by 2056.

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The population in 2014, and the year when the population will exceed 6 million and the year when population gets doubled to 10 million.

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Chapter 12 Solutions