BUSINESS MATHEMATICS & STATISTICS.

Slides:



Advertisements
Similar presentations
Solve a System Algebraically
Advertisements

BUSINESS MATHEMATICS & STATISTICS. LECTURE 18 Review Lecture 17 Solve two linear equations with two unknowns.
Microsoft Office Excel 2010 ® ® Tutorial 9: Working with Financial Tools and Functions.
COMPREHENSIVE Excel Tutorial 9 Developing a Financial Analysis.
7 = 7 SOLUTION EXAMPLE 1 Check the intersection point Use the graph to solve the system. Then check your solution algebraically. x + 2y = 7 Equation 1.
Thinking Mathematically Algebra: Graphs, Functions and Linear Systems 7.3 Systems of Linear Equations In Two Variables.
Practical 3: MS Excel depreciation and Logical functions Gopalan Vivek
Unit 1 Test Review Answers
1.4 Solving Equations ●A variable is a letter which represents an unknown number. Any letter can be used as a variable. ●An algebraic expression contains.
Substitution Method: 1. Solve the following system of equations by substitution. Step 1 is already completed. Step 2:Substitute x+3 into 2 nd equation.
Thinking Mathematically
Lecture 3 Cost-Volume-Profit Analysis. Contribution Margin The Basic Profit Equation Break-even Analysis Solving for targeted profits.
Solving by Elimination Example 1: STEP 2: Look for opposite terms. STEP 1: Write both equations in Standard Form to line up like variables. STEP 5: Solve.
Elimination Method: Solve the linear system. -8x + 3y=12 8x - 9y=12.
Algebra and Trigonometry by Cynthia Y. Young, © 2007 John Wiley and Sons. All rights reserved. Solving Systems of Equations.
Solving Word Problems Using Linear Systems
Solving Linear Systems by Substitution
Section 3.5 Solving Systems of Linear Equations in Two Variables by the Addition Method.
SYSTEMS OF EQUATIONS. SYSTEM OF EQUATIONS -Two or more linear equations involving the same variable.
ONE STEP EQUATIONS Multiplication and Division ONE STEP EQUATIONS Example 1 Solve 3x = 12 Variable? x 3x = 12 x x 3 ÷ 3 Inverse operation? Operation?
Bell Ringer 2. Systems of Equations 4 A system of equations is a collection of two or more equations with a same set of unknowns A system of linear equations.
The Substitution Method Objectives: To solve a system of equations by substituting for a variable.
6-2 SOLVING LINEAR SYSTEMS BY SUBSTITUTION Goal: Use substitution to solve a linear system Eligible Content: A / A
EXAMPLE 1 Solve a system graphically Graph the linear system and estimate the solution. Then check the solution algebraically. 4x + y = 8 2x – 3y = 18.
Algebra Review. Systems of Equations Review: Substitution Linear Combination 2 Methods to Solve:
SOLVING SYSTEMS OF EQUATIONS BY SUBSTITUTION PRACTICE PROBLEMS.
Solving Systems by Substitution (isolated) Solving Systems by Substitution (not isolated)
BUSINESS MATHEMATICS & STATISTICS. Module 4 Financial Mathematics Applications of Linear Equations ( Lecture 17-18) Break-even Analysis ( Lectures 19-22)
Algebra 1 Section 3.1 Solve equations using addition and subtraction Consider the balance… Transformations that produce equivalent equations. 1.Add the.
1.4 Solving Equations.
What are the major financial statements needed in a business plan?
MEASURING FINANCIAL PERFORMANCE
X.2 Solving Systems of Linear Equations by Substitution
Entry Task   by.
MPA 622: Government Finance
Do Now  .
Aim #8.1:How do we solve systems of equations with two variables?
Do Now  .
Algebra 1 Section 7.3 Solve linear systems by linear combinations
Excel Tutorial 9 Developing a Financial Analysis
Solving Systems of Equations
Warm-Up Solve the system by substitution..
Simple linear equation
Solving Linear Systems Algebraically
Solve a system of linear equation in two variables
Solving Systems of Equations using Substitution
Solving Problems Involving Geometry
Solving Two-Step Equations
One step equation with Multiplication and Division
MPA 622: Government Finance
Linear Algebra Lecture 3.
1.4 Solving Equations I’ve taught you how to solve equations the “simonized” way but here’s another way of doing the same thing!
Solving One and Two Step Equations
6-2 Solving Linear Systems by substitution
One step equation with Addition and Subtraction
Objectives Identify solutions of linear equations in two variables.
Solving Equations with Variables on Both Sides
Solving Equations with Variables on Both Sides
Solving Systems of Equations
Solve the linear system.
Chapter 8 Systems of Equations
Solving Two-Step Equations
Solving Equations.
Multivariable Linear Systems
Example 2B: Solving Linear Systems by Elimination
Solving a System of Linear Equations
Warm- Up: Solve by Substitution
Linear word problems One step
Solving Linear Systems by Graphing
Solving Linear Equations
Presentation transcript:

BUSINESS MATHEMATICS & STATISTICS

LECTURE 19 Review Lecture 18 MS EXCEL Financial Functions Perform a break-even analysis.

EXCEL FUNCTIONS FINANCIAL ANALYSIS SLN    Returns the straight-line depreciation of an asset for one period SYD    Returns the sum-of-years' digits depreciation of an asset for a specified period

EXCEL FUNCTIONS FINANCIAL ANALYSIS VDB    Returns the depreciation of an asset for a specified or partial period using a declining balance method XIRR    Returns the internal rate of return for a schedule of cash flows that is not necessarily periodic

LINEAR EQUATIONS Solve two linear equations with two variables Solve problems that require setting up linear equations with two variables Perform linear Cost-Volume-Profit and break-even analysis employing: The contribution margin approach The algebraic approach of solving the cost and revenue functions

SOLVING LINEAR EQUATIONS 2x – 3y = – 6 x + y = 2 Solve for y 2x – 3y = – 6 2x + 2y = 4 -5y = -10 Y = 2

SOLVING LINEAR EQUATIONS 2x – 3y = – 6 x + y = 2 Solve for x Substitute y = 2 2x – 3(2) = – 6 2x - 6 = - 6 2x = 0 x = 0

SOLVING LINEAR EQUATIONS 2x – 3y = – 6 x + y = 2 Solve for x Substitute y = 2 2x – 3(2) = – 6 2x - 6 = - 6 2x = 0 x = 0

Solving Two Equations with Two Unknowns check your answer by substituting the values into each of the equations Equation 1: 2x – 3y = -6 x = 0 y = 2 LHS = 2x – 3y = 2(0)-3(2) = -6 = RHS Equation 2 : x + y = 2 LHS = = x + y = 0 +2 = 2 = RHS

BUSINESS MATHEMATICS & STATISTICS