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Financial Algebra


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Table of Contents

1. The Stock Market 1.1 Business Organization 1.2 Stock Market Data 1.3 Stock Market Data Charts 1.4 Simple Moving Averages 1.5 Stock Market Ticker 1.6 Stock Transactions 1.7 Stock Transaction Fees 1.8 Stock Splits 1.9 Dividend Income MATH TOPICS Candlestick chart Fractions, decimals, and percents Linear equation Literal equation Mean - arithmetic average Percent increase and decrease Ratio and proportion Read, interpret, and create bar and line graphs Simple moving average Spreadsheets and formulas 2. Modeling a Business 2.1 Interpret Scatterplots 2.2 Linear Regression 2.3 Supply and Demand 2.4 Fixed and Variable Expenses 2.5 Graphs of Expense and Revenue Functions 2.6 Breakeven Analysis 2.7 The Profit Equation 2.8 Mathematically Modeling a Business MATH TOPICS Causal relationship Functions - domain and range Linear equation - slope-intercept form Linear regression Parabola - vertex and axis of symmetry Quadratic formula Scatterplots and correlation Spreadsheets and formulas Transitive property of dependence 3. Banking Services 3.1 Checking Accounts 3.2 Reconcile a Bank Statement 3.3 Savings Accounts 3.4 Explore Compound Interest 3.5 Compound Interest Formula 3.6 Continuous Compounding 3.7 Future Value of Investments 3.8 Present Value of Investments MATH TOPICS Exponential functions Exponential base (e) Exponential growth and decay Formulas Linear equations and inequalities Limits Order of operations Recursive and iterative thinking: patterns, growth, decline, compound interest 4. Consumer Credit 4.1 Introduction to Consumer Credit 4.2 Loans 4.3 Loan Calculations and Regression 4.4 Credit Cards 4.5 Credit Card Statement 4.6 Average Daily Balance MATH TOPICS Cubic regression Exponential growth and decay Linear equations and inequalities Linear regression Measures of central tendency Natural logarithm, base e Percents Quadratic regression Spreadsheets and formulas 5. Automobile Ownership 5.1 Classified Ads 5.2 Buy or Sell a Car 5.3 Graph Frequency Distributions 5.4 Automobile Insurance 5.5 Linear Automobile Depreciation 5.6 Historical and Exponential Depreciation 5.7 Driving Data 5.8 Driving Safety Data 5.9 Accident Investigation Data MATH TOPICS Circles (radius, diameter, chord) Distance Formula Exponential growth and decay Linear equations and inequalities Linear and exponential functions Measures of central tendency Metric System Natural logarithm Percents and Proportions Piecewise functions Range Read and interpret data: frequency tables, stem-and-leaf plots, box plots Quartiles Straight line equations (depreciation) Slope, slope-intercept form Square root equations Spreadsheets and formulas Systems of linear equations and inequalities in two variables 6. Employment Basics 6.1 Look for Employment 6.2 Pay Periods and Hourly Rates 6.3 Commissions, Royalties, and Piecework Pay 6.4 Employee Benefits 6.5 Social Security and Medicare MATH TOPICS Cusps Piecewise functions Exponential functions Graphs Linear functions Literal expressions Measures of central tendency Percent discount Spreadsheets and formulas 7. Income Taxes 7.1 Tax Tables, Worksheets, and Schedules 7.2 Modeling Tax Schedules 7.3 Income Statements 7.4 Forms 1040EZ and 1040A 7.5 Form 1040 and Schedules A and B MATH TOPICS Cusps Domains Linear equations and inequalities Literal expressions Percent Piecewise functions 8. Independent Living 8.1 Find a Place to Live 8.2 Read a Floor Plan 8.3 Mortgage Application Process 8.4 Purchase a Home 8.5 Rentals, Condominiums, and Cooperatives MATH TOPICS Area and scale factor Area of irregular regions Bar graphs Exponential regression Greatest integer function Literal expressions Monte Carlo method Probability Rational and exponential equations Scale drawings Scatterplots and linear regression Spreadsheets and formulas Systems of linear equations and inequalities in two variables 9. Planning for Retirement 9.1 Retirement Income from Savings 9.2 Social Security Benefits 9.3 Pensions 9.4 Life Insurance MATH TOPICS Collect, organize, and interpret data Domain Expected value Exponential equations Greatest integer functions Histogram Inequalities Literal expressions Measures of central tendency Percent increase Probability Rational equations Spreadsheets and formulas Slope-intercept forms 10. Prepare a Budget 10.1 Utility Expenses 10.2 Electronic Utilities 10.3 Charting a Budget 10.4 Cash Flow and Budgeting MATH TOPICS Circle (sectors, central angel) Cusp Domain Fractions, decimals, and ratios Greatest integer function Linear equations and inequalities Literal expressions Matrices Piecewise functions Proportions Rational and exponential equations Read and interpret data: line graphs, bar graphs, circle graphs Slope and graphing linear functions Spreadsheets and formulas Systems of equations Volume

About the Author

Robert Gerver and Richard Sgroi are well-known mathematics teachers, authors, and speakers at mathematics conferences throughout the U.S. Robert Gerver received his undergraduate degree from Queens College of the City University of New York where he was elected to Phi Beta Kappa. He received his Ph.D. from New York University. Dr. Gerver has received the Presidential Award for Excellence in Mathematics Teaching for New York state. Richard Sgroi is a well-known mathematics teacher, author, and speaker at mathematics conferences throughout the U.S. Dr. Sgroi received his Ph.D. from New York University. Over the course of their 25-year careers, Gerver and Sgroi have developed teaching methods to unmask the mystery of mathematics with applications to music, business, finance, and practical living skills. Together they authored Sound Foundations: A Mathematics Simulation, which received recognition from the U.S. Department of Education's Program Effectiveness Panel and was included in the publication, Educational Programs that Work.

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