,Mathematic Applications for the © 2019, 2016, 2013, Cengage Learning, Inc.
Management, Life, and Social Sciences,
Twelfth Edition Unless otherwise noted, all content is © Cengage
Ronald J. Harshbarger, James J. Reynolds ALL RIGHTS RESERVED. No part of this work covered by the copyright
herein may be reproduced or distributed in any form or by any means,
Senior Vice President: Erin Joyner except as permitted by U.S. copyright law, without the prior written
Product Director: Mark Santee permission of the copyright owner.
Product Manager: Rita Lombard
Content Developer: Morgan Mendoza For product information and technology assistance, contact us at
Cengage Learning Customer & Sales Support, 1-800-354-9706.
Product Assistant: Abby DeVeuve
For permission to use material from this text or product,
Marketing Manager: Ana Albinson and
submit all requests online at www.cengage.com/permissions.
Giana Manzi
Further permissions questions can be emailed to
Senior Content Project Manager: John Fuller
.
Art Director: Vernon Boes
Manufacturing Planner: Douglas Bertke
Library of Congress Control Number: 2017953697
IP Analyst: Ann Hoffman
IP Project Manager: Erika Mugavin Student Edition:
Production Service and Compositor: 978-1-337-62534-0
Lumina Datamatics
Loose-leaf Edition:
Text and Cover Design: Hespenheide Design
978-1-337-63053-5
Cover Image: Times Square from helicopter
at night. Image courtesy of WIN-Initiative/ Instructor’s Edition:
Getty Images. 978-1-337-63045-0
Cengage Learning
20 Channel Center Street
Boston, MA 02210
USA
Cengage is a leading provider of customized learning solutions with
employees residing in nearly 40 different countries and sales in more
than 125 countries around the world. Find your local representative
at www.cengage.com.
Cengage products are represented in Canada by Nelson Education, Ltd.
To learn more about Cengage platforms and services, visit
www.cengage.com.
To register or access your online learning solution or purchase materials
for your course, visit www.cengagebrain.com.
Printed in the United States of America
Print Number: 01 Print Year: 2017
,Contents
Preface vii
2.4 Special Functions and Their Graphs 148
2.5 Modeling; Fitting Curves to Data with Graphi
Utilities 160
0 Algebraic Concepts 1 Key Terms and Formulas 170
0.1 Sets 2 Review Exercises 171
0.2 The Real Numbers 9 Chapter Test 175
0.3 Integral Exponents 15 Extended Applications & Group Projects 177
0.4 Radicals and Rational Exponents 21 Body Mass Index (Modeling) • Operating
0.5 Operations with Algebraic Expressions 27 Leverage and Business Risk
0.6 Factoring 33
0.7 Algebraic Fractions 38
Key Terms and Formulas 45 3 Matrices 179
Review Exercises 46 3.1 Matrices 181
Chapter Test 49 3.2 Multiplication of Matrices 193
Extended Application & Group Project 50 3.3 Gauss-Jordan Elimination: Solving Systems of
Campaign Management Equations 204
3.4 Inverse of a Square Matrix; Matrix
Equations 217
1 Linear Equations and Functions 51 3.5 Applications of Matrices: Leontief Input-Outp
Models 230
1.1 Solutions of Linear Equations and Key Terms and Formulas 241
Inequalities in One Variable 53
Review Exercises 242
1.2 Functions 62
Chapter Test 245
1.3 Linear Functions 75
Extended Applications & Group Projects 248
1.4 Graphs and Graphing Utilities 85
Taxation • Company Profits after Bonuses
1.5 Solutions of Systems of Linear Equations 93 and Taxes
1.6 Applications of Functions in Business
and Economics 103
Key terms and Formulas 113
4 Inequalities and Linear
Review Exercises 114
Programming 249
Chapter Test 118
Extended Applications & Group Projects 120 4.1 Linear Inequalities in Two Variables 251
Hospital Administration • Fundraising 4.2 Linear Programming: Graphical Methods 260
4.3 The Simplex Method: Maximization 272
4.4 The Simplex Method: Duality and
Minimization 289
2 Quadratic and Other Special 4.5 The Simplex Method with Mixed
Functions 121 Constraints 298
2.1 Quadratic Equations 123 Key Terms and Formulas 307
2.2 Quadratic Functions: Parabolas 131 Review Exercises 307
2.3 Business Applications Using Quadratics 142 Chapter Test 311
, iv Contents
Extended Applications & Group Projects 313 Chapter Test 480
Transportation • Slack Variables and Extended Applications & Group Projects 481
Shadow Prices Phone Numbers • Quality Control •
Competition in the Telecommunications
Industry
5 Exponential and Logarithmic
Functions 315
8 Further Topics in Probability;
5.1 Exponential Functions 317
5.2 Logarithmic Functions and Their
Data Description 483
Properties 329 8.1 Binomial Probability Experiments 485
5.3 Equations and Applications with 8.2 Data Description 490
Exponential and Logarithmic Functions 342 8.3 Discrete Probability Distributions;
Key Terms and Formulas 353 The Binomial Distribution 502
Review Exercises 354 8.4 Normal Probability Distribution 512
Chapter Test 356 8.5 The Normal Curve Approximation
Extended Applications & Group Projects 358 to the Binomial Distribution 522
Worldwide Mobile Phone Key Terms and Formulas 526
Subscriberships (Modeling) • Agricultural Review Exercises 527
Business Management Chapter Test 529
Extended Applications & Group Projects 531
Lotteries • Statistics in Medical Research;
6 Mathematics of Finance 360 Hypothesis Testing
6.1 Simple Interest; Sequences 362
6.2 Compound Interest; Geometric Sequences 369
6.3 Future Values of Annuities 383 9 Derivatives 533
6.4 Present Values of Annuities 392 9.1 Limits 535
6.5 Loans and Amortization 404 9.2 Continuous Functions; Limits at Infinity 549
Key Terms and Formulas 412 9.3 Rates of Change and Derivatives 559
Review Exercises 413 9.4 Derivative Formulas 573
Chapter Test 416 9.5 The Product Rule and the Quotient Rule 583
Extended Applications & Group Projects 417 9.6 The Chain Rule and the Power Rule 591
Mail Solicitation Home Equity Loan: Is This a 9.7 Using Derivative Formulas 597
Good Deal? • Profit Reinvestment • Purchasing 9.8 Higher-Order Derivatives 603
a Home 9.9 Applications: Marginals and Derivatives 609
Key Terms and Formulas 618
Review Exercises 619
7 Introduction to Probability 419 Chapter Test 623
Extended Applications & Group Projects 624
7.1 Probability; Odds 421
Marginal Return to Sales • Energy from
7.2 Unions and Intersections of Events:
Crude Oil (Modeling) • Tangent Lines and
One-Trial Experiments 431
Optimization in Business and Economics
7.3 Conditional Probability: The Product Rule 438
7.4 Probability Trees and Bayes’ Formula 448
7.5 Counting: Permutations and Combinations 455
7.6 Permutations, Combinations, 10 Applications of Derivatives 627
and Probability 462 10.1 Relative Maxima and Minima:
7.7 Markov Chains 467 Curve Sketching 629
Key Terms and Formulas 476 10.2 Concavity; Points of Inflection 643
Review Exercises 477 10.3 Optimization in Business and Economics 655
Copyright 2019 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part. Due to electronic rights, some third party content may be suppressed from the eBook and/or eChapter(s).
Editorial review has deemed that any suppressed content does not materially affect the overall learning experience. Cengage Learning reserves the right to remove additional content at any time if subsequent rights restrictions require it.
Management, Life, and Social Sciences,
Twelfth Edition Unless otherwise noted, all content is © Cengage
Ronald J. Harshbarger, James J. Reynolds ALL RIGHTS RESERVED. No part of this work covered by the copyright
herein may be reproduced or distributed in any form or by any means,
Senior Vice President: Erin Joyner except as permitted by U.S. copyright law, without the prior written
Product Director: Mark Santee permission of the copyright owner.
Product Manager: Rita Lombard
Content Developer: Morgan Mendoza For product information and technology assistance, contact us at
Cengage Learning Customer & Sales Support, 1-800-354-9706.
Product Assistant: Abby DeVeuve
For permission to use material from this text or product,
Marketing Manager: Ana Albinson and
submit all requests online at www.cengage.com/permissions.
Giana Manzi
Further permissions questions can be emailed to
Senior Content Project Manager: John Fuller
.
Art Director: Vernon Boes
Manufacturing Planner: Douglas Bertke
Library of Congress Control Number: 2017953697
IP Analyst: Ann Hoffman
IP Project Manager: Erika Mugavin Student Edition:
Production Service and Compositor: 978-1-337-62534-0
Lumina Datamatics
Loose-leaf Edition:
Text and Cover Design: Hespenheide Design
978-1-337-63053-5
Cover Image: Times Square from helicopter
at night. Image courtesy of WIN-Initiative/ Instructor’s Edition:
Getty Images. 978-1-337-63045-0
Cengage Learning
20 Channel Center Street
Boston, MA 02210
USA
Cengage is a leading provider of customized learning solutions with
employees residing in nearly 40 different countries and sales in more
than 125 countries around the world. Find your local representative
at www.cengage.com.
Cengage products are represented in Canada by Nelson Education, Ltd.
To learn more about Cengage platforms and services, visit
www.cengage.com.
To register or access your online learning solution or purchase materials
for your course, visit www.cengagebrain.com.
Printed in the United States of America
Print Number: 01 Print Year: 2017
,Contents
Preface vii
2.4 Special Functions and Their Graphs 148
2.5 Modeling; Fitting Curves to Data with Graphi
Utilities 160
0 Algebraic Concepts 1 Key Terms and Formulas 170
0.1 Sets 2 Review Exercises 171
0.2 The Real Numbers 9 Chapter Test 175
0.3 Integral Exponents 15 Extended Applications & Group Projects 177
0.4 Radicals and Rational Exponents 21 Body Mass Index (Modeling) • Operating
0.5 Operations with Algebraic Expressions 27 Leverage and Business Risk
0.6 Factoring 33
0.7 Algebraic Fractions 38
Key Terms and Formulas 45 3 Matrices 179
Review Exercises 46 3.1 Matrices 181
Chapter Test 49 3.2 Multiplication of Matrices 193
Extended Application & Group Project 50 3.3 Gauss-Jordan Elimination: Solving Systems of
Campaign Management Equations 204
3.4 Inverse of a Square Matrix; Matrix
Equations 217
1 Linear Equations and Functions 51 3.5 Applications of Matrices: Leontief Input-Outp
Models 230
1.1 Solutions of Linear Equations and Key Terms and Formulas 241
Inequalities in One Variable 53
Review Exercises 242
1.2 Functions 62
Chapter Test 245
1.3 Linear Functions 75
Extended Applications & Group Projects 248
1.4 Graphs and Graphing Utilities 85
Taxation • Company Profits after Bonuses
1.5 Solutions of Systems of Linear Equations 93 and Taxes
1.6 Applications of Functions in Business
and Economics 103
Key terms and Formulas 113
4 Inequalities and Linear
Review Exercises 114
Programming 249
Chapter Test 118
Extended Applications & Group Projects 120 4.1 Linear Inequalities in Two Variables 251
Hospital Administration • Fundraising 4.2 Linear Programming: Graphical Methods 260
4.3 The Simplex Method: Maximization 272
4.4 The Simplex Method: Duality and
Minimization 289
2 Quadratic and Other Special 4.5 The Simplex Method with Mixed
Functions 121 Constraints 298
2.1 Quadratic Equations 123 Key Terms and Formulas 307
2.2 Quadratic Functions: Parabolas 131 Review Exercises 307
2.3 Business Applications Using Quadratics 142 Chapter Test 311
, iv Contents
Extended Applications & Group Projects 313 Chapter Test 480
Transportation • Slack Variables and Extended Applications & Group Projects 481
Shadow Prices Phone Numbers • Quality Control •
Competition in the Telecommunications
Industry
5 Exponential and Logarithmic
Functions 315
8 Further Topics in Probability;
5.1 Exponential Functions 317
5.2 Logarithmic Functions and Their
Data Description 483
Properties 329 8.1 Binomial Probability Experiments 485
5.3 Equations and Applications with 8.2 Data Description 490
Exponential and Logarithmic Functions 342 8.3 Discrete Probability Distributions;
Key Terms and Formulas 353 The Binomial Distribution 502
Review Exercises 354 8.4 Normal Probability Distribution 512
Chapter Test 356 8.5 The Normal Curve Approximation
Extended Applications & Group Projects 358 to the Binomial Distribution 522
Worldwide Mobile Phone Key Terms and Formulas 526
Subscriberships (Modeling) • Agricultural Review Exercises 527
Business Management Chapter Test 529
Extended Applications & Group Projects 531
Lotteries • Statistics in Medical Research;
6 Mathematics of Finance 360 Hypothesis Testing
6.1 Simple Interest; Sequences 362
6.2 Compound Interest; Geometric Sequences 369
6.3 Future Values of Annuities 383 9 Derivatives 533
6.4 Present Values of Annuities 392 9.1 Limits 535
6.5 Loans and Amortization 404 9.2 Continuous Functions; Limits at Infinity 549
Key Terms and Formulas 412 9.3 Rates of Change and Derivatives 559
Review Exercises 413 9.4 Derivative Formulas 573
Chapter Test 416 9.5 The Product Rule and the Quotient Rule 583
Extended Applications & Group Projects 417 9.6 The Chain Rule and the Power Rule 591
Mail Solicitation Home Equity Loan: Is This a 9.7 Using Derivative Formulas 597
Good Deal? • Profit Reinvestment • Purchasing 9.8 Higher-Order Derivatives 603
a Home 9.9 Applications: Marginals and Derivatives 609
Key Terms and Formulas 618
Review Exercises 619
7 Introduction to Probability 419 Chapter Test 623
Extended Applications & Group Projects 624
7.1 Probability; Odds 421
Marginal Return to Sales • Energy from
7.2 Unions and Intersections of Events:
Crude Oil (Modeling) • Tangent Lines and
One-Trial Experiments 431
Optimization in Business and Economics
7.3 Conditional Probability: The Product Rule 438
7.4 Probability Trees and Bayes’ Formula 448
7.5 Counting: Permutations and Combinations 455
7.6 Permutations, Combinations, 10 Applications of Derivatives 627
and Probability 462 10.1 Relative Maxima and Minima:
7.7 Markov Chains 467 Curve Sketching 629
Key Terms and Formulas 476 10.2 Concavity; Points of Inflection 643
Review Exercises 477 10.3 Optimization in Business and Economics 655
Copyright 2019 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part. Due to electronic rights, some third party content may be suppressed from the eBook and/or eChapter(s).
Editorial review has deemed that any suppressed content does not materially affect the overall learning experience. Cengage Learning reserves the right to remove additional content at any time if subsequent rights restrictions require it.
