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Words 771

Pages 4

Appendix C

Application Practice

Answer the following questions. Use Equation Editor to write mathematical expressions and equations. First, save this file to your hard drive by selecting Save As from the File menu. Click the white space below each question to maintain proper formatting.

Polynomials

Retail companies must keep close track of their operations to maintain profitability. Often, the sales data of each individual product is analyzed separately, which can be used to help set pricing and other sales strategies.

1. In this problem, we analyze the profit found for sales of decorative tiles. A demand equation (sometimes called a demand curve) shows how much money people would pay for a product depending on how much of that product is available on the open market. Often, the demand equation is found empirically (through experiment, or market research).

a. Suppose a market research company finds that at a price of p = $20, they would sell x = 42 tiles each month. If they lower the price to p = $10, then more people would purchase the tile, and they can expect to sell x = 52 tiles in a month’s time. Find the equation of the line for the demand equation. Write your answer in the form p = mx + b. Hint: Write an equation using two points in the form

x=42,p=20

20=42+b

X=52,p=10

52m+b

M=-1,b=62 P=x+62

A company’s revenue is the amount of money that comes in from sales, before business costs are subtracted. For a single product, you can find the revenue by multiplying the quantity of the product sold, x, by the demand equation, p.

b. Substitute the result you found from part a. into the equation R = xp to find the revenue equation. Provide your answer in simplified form.

520r=52x∙10p=

The costs of doing business for a company can be found by adding fixed…...

...Algebra 2 Honors Name ________________________________________ Test #1 1st 9-weeks September 2, 2011 SHOW ALL WORK to ensure maximum credit. Each question is worth 10 points for a total of 100 points possible. Extra credit is awarded for dressing up. 1. Write the solutions represented below in interval notation. A.) [pic] B.) [pic] 2. Use the tax formula [pic] A.) Solve for I. B.) What is the income, I, when the Tax value, T, is $184? 3. The M&M’s company makes individual bags of M&M’s for sale. In production, the company allows between 20 and 26 m&m’s, including 20 and 26. Write an absolute value inequality describing the acceptable number of m&m’s in each bag. EXPLAIN your reasoning. 4. Solve and graph the solution. [pic] 5. Solve and graph the solution. [pic] 6. Solve. [pic] 7. Solve. [pic] 8. True or False. If false, EXPLAIN why it is false. A.) An absolute value equation always has two solutions. B.) 3 is a solution to the absolute value inequality [pic] C.) 8 is a solution to the compound inequality x < 10 AND x > 0. 9. Solve for w. [pic] 10. You plant a 1.5 foot tall sawtooth oak that grows 3.5 feet per year. You want to know how many years it would take for the tree to outgrow your 20 foot roof. A.) Write an inequality that defines x as the number of years of growth. B.) Determine the number of years, to nearest hundredth,......

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...Student Answer form Unit 3 1. a. t^2/3=4 (t^2/3)^3=(4)^3 t=√64 t=8 b. 5√x+1=3 5√x+1-1=3-1 5√x=2 (5√x)^5=(2)^5 X=32 c. 2/3=2-5x-3/x-1 3*(x-1)*2/3=3*(x-1)*(2)-3(x-1)5x-3/x-1 2*(x-1)=6*(x-1)-3*(5x-3) 2x-2=6x-6-15x+9 2x-2x=9x+3 2x=-9x+3+2 2x+9x=3+2 11x=3+2 11x=5 x=5/11 2.√x+2-x=0 a. x=x^2-4x+4 x^23x+4=0 (x+1)(x-4)=0 √(-1)+2-1=0 √4+2-4=0 x=4 b. 4-x/x-2=-2/x-2 4*(x-2)-x=2 4x-8-x=-2 3x-8=-2 3x=-2+8 3x=6 x=6/3 x=2 When plugged into the original equation, there is a division by zero. Because that is not allowed x≠2, which means there in no solution 3. a. 800cm^3 s=3√800 s =3√800=9.283 s=9.283 b. 500cm^3 s=3√500 s=3√500=7.937 s=7.937 4. a. w=33-(10.45+10√9-9)*(33-10)/22 w=33-(10.45+10*3-9)*(23)/22 w=33-723.35/22 w=31.38 b. w=33-(10.45+10√15-15)(33-0)/22 w=33-(34.18)(33-0)/22 w=33-(34.18)(33)/22 w=33-1127.94/22 w=33-51.27 w=-18.27 c. w=33-(10.45+10√20-20)(33-(-10))/22 w=33-(10.45+10√4*5-20)(33-(-10))/22 w=33-(10.45+10√4*√5-20)(33-(-10))/22 w=33-(10.45+10*2*√5-20)(33-(-10))/22 w=33-(10.45+20*√5-20)(33-(-10))/22 w=33-(-9.55+20*√5)(43))/22 w=33-(-410.65+860*√5)/22 w=443.65-860*√5/22 w=44365-860*2.036/22 w=443.65-1923.018/22 w=-1479.368/22 w=-67.244...

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...Preparation of income statement, balance sheet and statement of cash flows: Accounting for specialized items: Property, Plant & Equipment, bad debts; provisions; financial instruments; leases; employee benefits; income taxes; revenues,; foreign currency transactions etc.;Accounting for mergers and consolidations; IFRS vs GAAP; Financial statement analysis 3. Cost and Management Accounting: Cost concepts; Job-order costing vs process costing;ABC Costing; Marginal costing vs absorption costing: CVP analysis; Relevant costs: special order, make or buy decisions; ROA, residual income and economic value added; Standard costing and variance analysis; EOQ and linear programming 4. Quantitative Methods and Business Mathematics: Algebra and logarithm; Series and progressions; Probability, confidence intervals and testing; Measures of central tendency and measures of dispersion; Simple and compound interest: compounding and discounting;Differentiation and integration; Regression and correlation 5. Business Management: Vision, mission and strategy; Human resource management : recruitment and retention, performance measurement and development, compensation, employee rations and ethics etc.; Marketing; Organizational culture, organizational change and effective communication; Business analyses: SWOT, PESTLE, balanced scorecard 6. Microsoft Excel 2003/2007/2010: Financial Model Development; Visual Basic for Application(VBA) development, Lookup; Solver;......

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...Associate Program Material Appendix C Rhetorical Modes Matrix Rhetorical modes are methods for effectively communicating through language and writing. Complete the following chart to identify the purpose and structure of the various rhetorical modes used in academic writing. Provide at least two tips for writing each type of rhetorical device. NOTE: You may not copy and paste anything directly from the textbook or a web site. All information included in this assignment must be written in your own words. Rhetorical Mode Purpose – Explain when or why each rhetorical mode is used. Structure – Identify the organizational method that works best with each rhetorical mode. Tips – Provide two tips for writing in each rhetorical mode. Narration The art of storytelling. Can be fictional or factual. The unfolding of each incident. The beginning, middle, and end. Illustration Demonstration clearly shown with supporting points with evidence. Controlled ideas followed by main point in order of importance. Description Use of descriptions influenced by the five senses. The sense of sight,sound,smell, touch,or taste. Tone set of a person, place, or thing using senses and use of arrangement based on appearance. Classification Breakdown of subjects into smaller and manageable specific parts. Introduction paragraph followed by dividing into subgroups followed by the reason why Process analysis Explanation of how to do something and how it......

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...Week four assignment MAT221: introduction to algebra Thurman Solana July 7, 2013 Below we will go through a few equations for this week’s assignment. I will show my knowledge of how to properly find the correct answers to each problem. As well as showing my knowledge of the words: Like terms FOIL Descending Order Dividend and Divisor. Compound semiannually On page 304 problem #90 states “P dollars is invested at annual interest rates r for one year. If the interest rate is compounded semiannually then the polynomial p(1+r2) represents the value of investment after one year. Rewrite the problem without the equation.”(Algebra) For the first equation p will stand for 200 and r will stand for 10%. First I need to turn the interest rate into a decimal. 10%=0.1. Now I can rewrite the equation.2001+0.122. Now that I have my equation written out I can start to solve. I start by dividing 0.1 by 2 to get 0.05. Now I can rewrite 2001+0.052. First I add the 1 and 0.05 giving me 1.05 to square. Any number times itself is called squaring. So now we square (1.05)*(1.05)=(1.1025). Again we rewrite our equation 200*1.1025=220.5. Now we can remove the parentheses leaving us with an answer of 220.5. The answer for this first part of 2001+0.0122=220.5. Second Part On this second part let p stand for 5670 and r will stand for 3.5%. Again I start by turning my percentage into a decimal 3.5%=0.035. Now that we have our decimal we can write out our equation......

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...of child tickets for $4 each and adult tickets for $9 each. Which system of equations below will determine the number of adult tickets, a, and the number of child tickets, c, he bought? A. a = c - 9 9a + 4c = 43 B. 9a + 4c = 43 a +c=7 C. a + c = 301 a +c=7 D. 4a + 4c = 50 a +c=7 2 Tyrone is packaging a mix of bluegrass seed and drought-resistant seed for people buying grass seed for their lawns. The bluegrass seed costs him $2 per pound while the drought-resistant grass seed costs him $3 per pound. a. Write an equation showing that Tyrone spent $68 altogether for the two types of grass seed. b. Write an equation showing that Tyrone bought a total of 25 lb of the two types of grass seed. c. Solve the system of equations to find out how many pounds of each type of grass seed Tyrone bought. Mr. Jarvis invested a total of $9,112 in two savings accounts. One account earns 7.5% simple interest per year and the other earns 8.5% simple interest per year. Last year, the two investments earned a total of $884.88 in interest. Write a system of equations that could be used to determine the amount Mr. Jarvis initially invested in each account. Let x represent the amount invested at 7.5% and let y represent the amount invested at 8.5%. A. x + y = 9, 112 0.075x + 0.085y = 884.88 B. x + y = 884.88 7.5x + 8.5y = 9, 112 4 D. C. x + y = 884.88 0.075x + 0.085y = 9, 112 x + y = 9, 112 7.5x + 8.5y = 884.88 ____ 3 A rental car agency charges $15 per day plus 11 cents per mile to rent a certain......

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...sentence including an equal sign. Equivalent fractions - fractions equal to one another, even though they may have different denominators. Even - a number that is divisible by 2. Exponent - in the expression x to the second power, the exponent is 2; x will be multiplied by itself two times. Expression - mathematical incomplete sentence that doesnt contain an equal sign. Factor - if a is a factor of b, then b is divisible by a. Factorial - operation that multiplies a whole number by every counting number smaller than it. Formula - rule or method that is accepted as true and used over and over in common applications. Fraction - ratio of two numbers representing some portion of an integer. Fundamental theorem of algebra - guarantees that a polynomial of degree n, if set equal to 0, will have exactly n roots. Function - a relation whose inputs each have a single, corresponding output. Graph - plotted figure in a plane. Greatest common factor - the largest factor of two or more numbers or terms. Grouping symbols - elements like parentheses and brackets that explicitly tell you what to simplify first in a problem. Horizontal line test - tests the graph of a function to determine whether or not its one to one. Hypotenuse - longest side of right triangle. i - The imaginary value square root of -1. Identity element - the number(0 for addition, 1 for multiplication) that leaves a numbers value unchanged when the corresponding operation...

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...SUBDOMAIN 212.1 - NUMERACY, ALGEBRA, & GEOMETRY Competency 212.1.2: Solving Algebraic Equations - The graduate solves algebraic equations and constructs equations to solve real-world problems. Introduction: An important element of learning is to connect mathematical concepts with physical concepts. Graphical representations of mathematical functions will allow you to visualize the meaning and power of mathematical equations. The power of computer programs and graphing calculators provide a more thorough connection between algebraic equations and visual representation, which will increase appreciation and understanding of mathematical language. In this task, you will be making connections between algebraic equations and graphical representations. You will use the following situation to complete your task: A man shines a laser beam from a third-story window of a building onto the pavement below. The path of the laser beam is represented by the equation y = –(2/3)x + 30. In this problem, y represents the height above the ground, and x represents the distance from the face of the building. All height and distance measurements are in feet. Task: A. Use the situation above to complete parts A1 through A5. 1. Find the x-intercept and y-intercept of the given equation algebraically, showing all work. 2. Graph the given equation. • Label each axis of the coordinate plane with descriptive labels. • Label each intercept as “x-intercept” or “y-intercept” and include the ordered pair. 3.......

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...MAPÚA INSTITUTE OF TECHNOLOGY Department of Mathematics COURSE SYLLABUS 1. Course Code: Math 10-3 2. Course Title: Algebra 3. Pre-requisite: none 4. Co-requisite: none 5. Credit: 3 units 6. Course Description: This course covers discussions on a wide range of topics necessary to meet the demands of college mathematics. The course discussion starts with an introductory set theories then progresses to cover the following topics: the real number system, algebraic expressions, rational expressions, rational exponents and radicals, linear and quadratic equations and their applications, inequalities, and ratio, proportion and variations. 7. Student Outcomes and Relationship to Program Educational Objectives Student Outcomes Program Educational Objectives 1 2 (a) an ability to apply knowledge of mathematics, science, and engineering √ (b) an ability to design and conduct experiments, as well as to analyze and interpret from data √ (c) an ability to design a system, component, or process to meet desired needs √ (d) an ability to function on multidisciplinary teams √ √ (e) an ability to identify, formulate, and solve engineering problems √ (f) an understanding of professional and ethical responsibility √ (g) an ability to communicate effectively √ √ (h) the broad education necessary to understand the impact of engineering solutions in the global and societal context √ √ (i) a recognition of the need for, and an ability to......

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...Name: Taylor Harmon_________________________ Score: ______ / ______ Pre-Algebra Midterm Exam Solve the problems below. Show your work when applicable. 1. Write using exponents. (–4)(–4) -4^2 2. Simplify. Show your work. 513 +-3918 5x3+1/3 + -3 9/18 16/3 + -3 9/18 16/3 + -3 ½ 16/3 – 3x2+1/2 16/3 – 7/2 Least common denominator found is 6 16x2/3x2 – 7x3/2x3 32/6 – 21/6 = 11/6 11/6 = 1 5/6 3. What type of measurement would you use to describe the amount of water a pot can hold? Volume – gallons, liters 4. Estimate the sum of 9.327 + 5.72 + 4.132 to one decimal place. 19.2 5. State whether the number 91 is prime, composite, or neither. Composite. It can be divided by 7 or 13 6. What are the mean and the mode of the following set of data: 5, 12, 1, 5, 7 mean: 6 mode: 5 7. To measure the distance from the U.S. to Istanbul, Turkey you would most likely use __________. miles 8. What percent of 67 is 33? Round to the nearest tenth of a percent. 49.3% 9. An adult house cat could be about 1 ___________ high. foot 10. Write a number sentence for the model. Let one white tile equal +1 and one black tile equal –1. There are -14 black tiles and 6 of them become white tiles. -14+6=-8 11. Determine whether the statement is true or false. 94 is divisible by 3. false 12. State whether the number 97 is prime, composite, or neither. prime 13.......

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...What is Algebra? Algebra is a branch of mathematics that uses mathematical statements to describe relationships between things that vary over time. These variables include things like the relationship between supply of an object and its price. When we use a mathematical statement to describe a relationship, we often use letters to represent the quantity that varies, sisnce it is not a fixed amount. These letters and symbols are referred to as variables. (See the Appendix One for a brief review of constants and variables.) The mathematical statements that describe relationships are expressed using algebraic terms, expressions, or equations (mathematical statements containing letters or symbols to represent numbers). Before we use algebra to find information about these kinds of relationships, it is important to first cover some basic terminology. In this unit we will first define terms, expressions, and equations. In the remaining units in this book we will review how to work with algebraic expressions, solve equations, and how to construct algebraic equations that describe a relationship. We will also introduce the notation used in algebra as we move through this unit. History of algebra The history of algebra began in ancient Egypt and Babylon, where people learned to solve linear (ax = b) and quadratic (ax2 + bx = c) equations, as well as indeterminate equations such as x2 + y2 = z2, whereby several unknowns are involved. The ancient Babylonians solved......

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...Algebra 2 Lesson 5-5 Example 1 Equation with Rational Roots Solve 2x2 – 36x + 162 = 32 by using the Square Root Property. 2x2 – 36x + 162 = 32 Original equation 2(x2 – 18x + 81) = 2(16) Factor out the GCF. x2 – 18x + 81 = 16 Divide each side by 2. (x – 9)2 = 16 Factor the perfect trinomial square. x – 9 = Square Root Property x – 9 = ±4 = 4 x = 9 ± 4 Add 9 to each side. x = 9 + 4 or x = 9 – 4 Write as two equations. x = 13 x = 5 Solve each equation. The solution set is {5, 13}. You can check this result by using factoring to solve the original equation. Example 2 Equation with Irrational Roots Solve x2 + 10x + 25 = 108 by using the Square Root Property. x2 + 10x + 25 = 108 Original equation (x + 5)2 = 108 Factor the perfect square trinomial. x + 5 = Square Root Property x = –5 ±6 Add –5 to each side; = 6 x = –5 + 6 or x = –5 – 6 Write as two equations. x ≈ 5.4 x ≈ –15.4 Use a calculator. The exact solutions of this equation are –5 – 6 and –5 + 6. The approximate solutions are –15.4 and 5.4. Check these results by finding and graphing the related quadratic function. x2 + 10x + 25 = 108 Original equation x2 + 10x – 83 = 0 Subtract 108 from each side. y = x2 + 10x – 83 Related quadratic function. CHECK Use the ZERO function of a graphing calculator. The approximate zeros of the...

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... |Algebra 1B | Copyright © 2010, 2009, 2007 by University of Phoenix. All rights reserved. Course Description This course explores advanced algebra concepts and assists in building the algebraic and problem-solving skills developed in Algebra 1A. Students solve polynomials, quadratic equations, rational equations, and radical equations. These concepts and skills serve as a foundation for subsequent business coursework. Applications to real-world problems are also explored throughout the course. This course is the second half of the college algebra sequence, which began with MAT/116, Algebra 1A. Policies Faculty and students/learners will be held responsible for understanding and adhering to all policies contained within the following two documents: • University policies: You must be logged into the student website to view this document. • Instructor policies: This document is posted in the Course Materials forum. University policies are subject to change. Be sure to read the policies at the beginning of each class. Policies may be slightly different depending on the modality in which you attend class. If you have recently changed modalities, read the policies governing your current class modality. Course Materials Bittenger, M. L. & Beecher, J. A. (2007). Introductory and intermediate algebra (3rd ed.). Boston, MA: Pearson-Addison......

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...7.0208 6.2911 5.8357 6.00 19.3328 11.1021 8.4386 7.1643 6.4430 5.9955 Your assignment must follow these formatting requirements: Be typed, double spaced, using Times New Roman font (size 12), with one-inch margins on all sides. Check with your professor for any additional instructions. Include a cover page containing the tile of the assignment, the student’s name, the professor’s name, the course title, and the date. The cover page is not included in the required assignment page length. The specific course learning outcomes associated with this assignment are: Apply finance formulas and logarithms to amortize loans and calculate interest. Use technology and information resources to research issues in algebra. Write clearly and concisely about algebra using proper writing mechanics....

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...History of algebra The history of algebra began in ancient Egypt and Babylon, where people learned to solve linear (ax = b) and quadratic (ax2 + bx = c) equations, as well as indeterminate equations such as x2 + y2 = z2, whereby several unknowns are involved. The ancient Babylonians solved arbitrary quadratic equations by essentially the same procedures taught today. They also could solve some indeterminate equations. The Alexandrian mathematicians Hero of Alexandria and Diophantus continued the traditions of Egypt and Babylon, but Diophantus's book Arithmetica is on a much higher level and gives many surprising solutions to difficult indeterminate equations. This ancient knowledge of solutions of equations in turn found a home early in the Islamic world, where it was known as the "science of restoration and balancing." (The Arabic word for restoration, al-jabru,is the root of the word algebra.) In the 9th century, the Arab mathematician al-Khwarizmi wrote one of the first Arabic algebras, a systematic exposé of the basic theory of equations, with both examples and proofs. By the end of the 9th century, the Egyptian mathematician Abu Kamil had stated and proved the basic laws and identities of algebra and solved such complicated problems as finding x, y, and z such that x + y + z = 10, x2 + y2 = z2, and xz = y2. Ancient civilizations wrote out algebraic expressions using only occasional abbreviations, but by medieval times Islamic mathematicians were able to talk about......

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