Mathematics for Business

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1 Mathematics for Business NINTH EDITION Stanley A. Salzman American River College Gary Glendenen Siena College Charles D. Miller Prentice Hall Boston Columbus Indianapolis New York San Francisco Upper Saddle River Amsterdam Cape Town Dubai London Madrid Milan Munich Paris Montreal Toronto Delhi Mexico City Sao Paulo Sydney Hong Kong Seoul Singapore Taipei Tokyo

2 Contents Preface Index of Applications Photograph Credits Introduction for Students Pretest in Business Mathematics Vlll xiii xix XX xxi PARTI CHAPTER CHAPTER CHAPTER 3 ' CHAPTER Basic Mathematics Problem Solving and Operations with Fractions Problem Solving Addition and Subtraction of Fractions Multiplication and Division of Fractions Chapter 1 Quick Review Chapter 1 Review Exercises Equations and Formulas Solving Equations Applications of Equations Formulas Ratios and Proportions Chapter 2 Quick Review Chapter 2 Review Exercises Percent Writing Decimals and Fractions as Percents Applications: Finding the Part Applications: Finding the Base Supplementary Exercises: Base and Part Applications: Finding the Rate Supplementary Exercises: Rate, Base, and Part Increase and Decrease Problems Chapter 3 Quick Review Chapter 3 Review Exercises Business Statistics Frequency Distributions and Graphs The Mean The Median and the Mode Range and Standard Deviation HI

3 iv Contents 4.5 Index Numbers 141 Chapter 4 Quick Review 145 Chapter 4 Review Exercises Part 1 Cumulative Review: Chapters [ PART2J CHAPTER CHAPTER Basic Business Applications Banking Services Checking Accounts and Check Registers Checking Services and Depositing Credit-Card Transactions Reconciliation Chapter 5 Quick Review Chapter 5 Review Exercises Payroll Gross Earnings (Wages and Salaries) Gross Earnings (Commission) Gross Earnings (Piecework) Social Security, Medicare, and Other Taxes Income Tax Withholding Payroll Records and Quarterly Returns Chapter 6 Quick Review Chapter 6 Review Exercises CHAPTER 7 Taxes 7.1 Sales Tax 7.2! Property Tax 7.3 Personal Income Tax Chapter 7 Quick Review Chapter 7 Review Exercises CHAPTER 8t Risk Management 8.1 Business Insurance 8.2! Motor Vehicle Insurance 8.31 Life Insurance Chapter 8 Quick Review Chapter 8 Review Exercises Part 2 Cumulative Review: Chapters

4 Contents PART 3 CHAPTER CHAPTER Mathematics of Retailing Mathematics of Buying Invoices and Trade Discounts Single Discount Equivalents Cash Discounts: Ordinary Dating Method Cash Discounts: Other Dating Methods Chapter 9 Quick Review Chapter 9 Review Exercises Markup Markup on Cost Markup on Selling Price Markup with Spoilage Supplementary Exercises: Markup Chapter 10 Quick Review Chapter 10 Review Exercises CHAPTER 11 Markdown and Inventory Control 11.1 Markdown 11.2 Average Inventory and Inventory Turnover 11.3 Valuation of Inventory Chapter 11 Quick Review Chapter 11 Review Exercises Part 3 Cumulative Review: Chapters Mathematics of Finance CHAPTER 12 Simple Interest 12.1 Basics of Simple Interest 12.2 Simple Interest for a Given Number of Days 12.3 Maturity Value 12.4 Inflation and the Time Value of Money Chapter 12 Quick Review Chapter 12 Review Exercises CHAPTER 13 Notes and Bank Discount 13.1 Simple Interest Notes 13.2 Simple Discount Notes 13.3 Comparing Simple Interest and Simple Discount 13.4 Discounting a Note

5 vi Contents Chapter 13 Quick Review Chapter 13 Review Exercises CHAPTER 14 Compound Interest 14.1 Compound Interest 14.2 Daily and Continuous Compounding 14.3 Finding Time and Rate 14.4 Present Value at Compound Interest Chapter 14 Quick Review Chapter 14 Review Exercises CHAPTER 15 Annuities and Sinking Funds 15.1 Amount of an Annuity 15.2 Present Value of an Annuity 15.3 Sinking Funds Chapter 15 Quick Review Chapter 15 Review Exercises CHAPTER 16 Business and Consumer Loans 16.1 Open-End Credit 16.2 Installment Loans 16.3 Early Payoffs of Loans 16.4 Personal Property Loans 16.5 Real Estate Loans Chapter 16 Quick Review Chapter 16 Review Exercises Part 4 Cumulative Review: Chapters Accounting and Other Applications CHAPTER 17 Depreciation 17.1 Straight-Line Method 17.2 Declining-Balance Method 17.3 Sum-of-trie-Years' -Digits Method 17.4 Units-of-Production Method and Partial-Year Depreciation 17.5 Modified Accelerated Cost Recovery System Chapter 17 Quick Review Chapter 17 Review Exercises

6 Contents vii CHAPTER 18 Financial Statements and Ratios 18.1 The Income Statement 18.2 Analyzing the Income Statement 18.3 The Balance Sheet 18.4 Analyzing the Balance Sheet; Financial Ratios Chapter 18 Quick Review Chapter 18 Review Exercises CHAPTER 19 Securities and Distribution of Profit and Overhead 19.1 Distribution of Profits in a Corporation 19.2 Buying Stock 19.3 Bonds 19.4 Distribution of Profits and Losses in a Partnership 19.5 Distribution of Overhead Chapter 19 Quick Review Chapter 19 Review Exercises Part 5 Cumulative Review: Chapters APPENDIX A Calculator Basics A.I Scientific Calculators A.2 Financial Calculators APPENDIX B APPENDIX C APPENDIX D The Metric System Powers of e Interest Tables Answers to Selected Exercises Glossary Index

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