Finite mathematics PDF
Preview Finite mathematics
Copyright 2018 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part. WCN 02-200-202 Want to turn your C into an A? Obviously, right? But the right way to go about it isn’t always so obvious. Go digital to get the grades. MindTap’s customizable study tools and eTextbook give you everything you need all in one place. Engage with your course content, enjoy the flexibility of studying anytime and anywhere, stay connected to assignment due dates and instructor notifications with the MindTap Mobile app... and most of all…EARN BETTER GRADES. TO GET STARTED VISIT WWW.CENGAGE.COM/STUDENTS/MINDTAP Copyright 2018 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part. WCN 02-200-202 80426_ES2.indd 1 11/8/16 10:55 AM finite mathematics Copyright 2018 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part. WCN 02-200-202 80426_FM_i-xxii.indd 1 11/10/16 10:40 AM Copyright 2018 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part. WCN 02-200-202 80426_FM_i-xxii.indd 2 11/10/16 10:40 AM finite mathematics seventh edition stefan Waner Hofstra University steven R. costenoble Hofstra University Australia • Brazil • Mexico • Singapore • United Kingdom • United States Copyright 2018 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part. WCN 02-200-202 80426_FM_i-xxii.indd 3 11/10/16 10:40 AM Finite Mathematics, Seventh Edition © 2018, 2014 Cengage Learning Stefan Waner, Steven R. Costenoble ALL RIGHTS RESERVED. No part of this work covered by the copy- right herein may be reproduced or distributed in any form or by any Product Director: Terry Boyle means, except as permitted by U.S. copyright law, without the prior Product Manager: Rita Lombard written permission of the copyright owner. Content Developer: Morgan Mendoza Product Assistant: Abby DeVeuve For product information and technology assistance, contact us at Content Digitization Lead: Justin Karr Cengage Learning Customer & Sales Support, 1-800-354-9706. For permission to use material from this text or product, Marketing Manager: Ana Albinson submit all requests online at www.cengage.com/permissions. Content Project Manager: Further permissions questions can be e-mailed to Teresa L. Trego [email protected]. Art Director: Vernon Boes Manufacturing Planner: Rebecca Cross Library of Congress Control Number: 2016952197 Production Service: Martha Emry Student Edition: BookCraft ISBN: 978-1-337-28042-6 Photo Researcher: Lumina Datamatics Loose-leaf Edition: Text Researcher: Lumina Datamatics ISBN: 978-1-337-29126-2 Text Designer: Diane Beasley Cover Designer: Irene Morris Cengage Learning Cover Image: Large photo © CERN; 20 Channel Center Street Small photo © CERN Boston, MA 02210 USA Compositor: Graphic World, Inc. Cengage Learning is a leading provider of customized learning solu- tions 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 Learning products are represented in Canada by Nelson Education, Ltd. To learn more about Cengage Learning Solutions, visit www.cengage.com. Purchase any of our products at your local college store or at our preferred online store www.cengagebrain.com. about the cover The cover shows the innermost part of the Large Hadron Collider detector for the ATLAS (a toroidal LHC apparatus) high-energy particle experiment at the CERN Large Hadron Collider in Geneva, Switzerland, before the final insertion of the central pixel detector. The ongoing ATLAS experiment is one of two experiments that led to the discovery of the Higgs boson at CERN in 2012. CERN is the European Organization Printed in Canada for Nuclear Research, where physicists and engineers are Print Number: 01 Print Year: 2016 probing the fundamental structure of the universe. Copyright 2018 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part. WCN 02-200-202 80426_FM_i-xxii.indd 4 11/10/16 10:40 AM Brief contents 0 precalculus Review 1 chapteR 1 functions and applications 45 chapteR 2 the mathematics of finance 133 chapteR 3 systems of Linear equations and matrices 189 chapteR 4 matrix algebra and applications 253 chapteR 5 Linear programming 337 chapteR 6 sets and counting 427 chapteR 7 probability 479 chapteR 8 Random variables and statistics 579 chapteR v Copyright 2018 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part. WCN 02-200-202 80426_FM_i-xxii.indd 5 11/10/16 10:40 AM Copyright 2018 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part. WCN 02-200-202 80426_FM_i-xxii.indd 6 11/10/16 10:40 AM contents 0 precalculus Review 1 chapteR Introduction 2 0.1 Real Numbers 2 0.2 Exponents and Radicals 7 0.3 Multiplying and Factoring Algebraic Expressions 17 0.4 Rational Expressions 22 0.5 Solving Polynomial Equations 24 0.6 Solving Miscellaneous Equations 30 0.7 The Coordinate Plane 34 0.8 Logarithms 38 1 functions and applications 45 chapteR Introduction 46 1.1 Functions from the Numerical, Algebraic, and Graphical Viewpoints 46 1.2 Functions and Models 63 1.3 Linear Functions and Models 85 1.4 Linear Regression 103 KEy CONCEpTS 115 REviEw ExERCiSES 115 case stUdY Modeling Spending on Mobile Advertising 119 ■ technoLogY gUides 122 2 the mathematics of finance 133 chapteR Introduction 134 2.1 Simple Interest 134 2.2 Compound Interest 145 2.3 Annuities, Loans, and Bonds 156 KEy CONCEpTS 173 REviEw ExERCiSES 173 case stUdY Adjustable Rate and Subprime Mortgages 175 ■ technoLogY gUides 182 vii Copyright 2018 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part. WCN 02-200-202 80426_FM_i-xxii.indd 7 11/10/16 10:40 AM viii Contents 3 systems of Linear equations and matrices 189 chapteR Introduction 190 3.1 Systems of Two Equations in Two Unknowns 190 3.2 Using Matrices to Solve Systems of Equations 206 3.3 Applications of Systems of Linear Equations 224 KEy CONCEpTS 239 REviEw ExERCiSES 239 case stUdY Hybrid Cars—Optimizing the Degree of Hybridization 242 ■ technoLogY gUides 246 4 matrix algebra and applications 253 chapteR Introduction 254 4.1 Matrix Addition and Scalar Multiplication 254 4.2 Matrix Multiplication 264 4.3 Matrix Inversion 279 4.4 Game Theory 290 4.5 Input-Output Models 308 KEy CONCEpTS 321 REviEw ExERCiSES 321 case stUdY predicting Market Share 325 ■ technoLogY gUides 329 5 Linear programming 337 chapteR Introduction 338 5.1 Graphing Linear Inequalities 338 5.2 Solving Linear Programming Problems Graphically 349 5.3 The Simplex Method: Solving Standard Maximization Problems 366 5.4 The Simplex Method: Solving General Linear Programming Problems 385 5.5 The Simplex Method and Duality 400 KEy CONCEpTS 416 REviEw ExERCiSES 416 case stUdY The Diet problem 420 ■ technoLogY gUides 424 Copyright 2018 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part. WCN 02-200-202 80426_FM_i-xxii.indd 8 11/10/16 10:40 AM
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