Contemporary Mathematics for Business & Consumers
8th Edition
ISBN: 9781305886803
Author: Brechner
Publisher: Cengage
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Chapter 2.I, Problem 28RE
To determine
To calculate: The lowest form of the fraction
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Assume that a company is considering purchasing a machine for $50,000 that will have a five-year useful life and a $5,000 salvage value. The
machine will lower operating costs by $17,000 per year. The company's required rate of return is 15%. The net present value of this investment
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7. [10 marks]
Let G
=
(V,E) be a 3-connected graph. We prove that for every x, y, z Є V, there is a
cycle in G on which x, y, and z all lie.
(a) First prove that there are two internally disjoint xy-paths Po and P₁.
(b) If z is on either Po or P₁, then combining Po and P₁ produces a cycle on which
x, y, and z all lie. So assume that z is not on Po and not on P₁. Now prove that
there are three paths Qo, Q1, and Q2 such that:
⚫each Qi starts at z;
• each Qi ends at a vertex w; that is on Po or on P₁, where wo, w₁, and w₂ are
distinct;
the paths Qo, Q1, Q2 are disjoint from each other (except at the start vertex
2) and are disjoint from the paths Po and P₁ (except at the end vertices wo,
W1, and w₂).
(c) Use paths Po, P₁, Qo, Q1, and Q2 to prove that there is a cycle on which x, y, and
z all lie. (To do this, notice that two of the w; must be on the same Pj.)
Chapter 2 Solutions
Contemporary Mathematics for Business & Consumers
Ch. 2.I - For each of the following, identify the type of...Ch. 2.I - Prob. 2TIECh. 2.I - Convert the following mixed numbers to improper...Ch. 2.I - Prob. 4TIECh. 2.I - Prob. 5TIECh. 2.I - Prob. 6TIECh. 2.I - Prob. 1RECh. 2.I - Prob. 2RECh. 2.I - Prob. 3RECh. 2.I - Prob. 4RE
Ch. 2.I - Prob. 5RECh. 2.I - Prob. 6RECh. 2.I - Prob. 7RECh. 2.I - Prob. 8RECh. 2.I - Prob. 9RECh. 2.I - Prob. 10RECh. 2.I - Prob. 11RECh. 2.I - Prob. 12RECh. 2.I - Prob. 13RECh. 2.I - Prob. 14RECh. 2.I - Prob. 15RECh. 2.I - Prob. 16RECh. 2.I - Prob. 17RECh. 2.I - Use inspection or the greatest common divisor to...Ch. 2.I - Use inspection or the greatest common divisor to...Ch. 2.I - Prob. 20RECh. 2.I - Prob. 21RECh. 2.I - Prob. 22RECh. 2.I - Prob. 23RECh. 2.I - Use inspection or the greatest common divisor to...Ch. 2.I - Use inspection or the greatest common divisor to...Ch. 2.I - Prob. 26RECh. 2.I - Prob. 27RECh. 2.I - Prob. 28RECh. 2.I - Prob. 29RECh. 2.I - Raise the following fractions to higher terms as...Ch. 2.I - Prob. 31RECh. 2.I - Raise the following fractions to higher terms as...Ch. 2.I - Prob. 33RECh. 2.I - Prob. 34RECh. 2.I - Prob. 35RECh. 2.I - Prob. 36RECh. 2.I - Prob. 37RECh. 2.I - Raise the following fractions to higher terms as...Ch. 2.I - Raise the following fractions to higher terms as...Ch. 2.I - SECTION I – UNDERSTANDING AND WORKING WITH...Ch. 2.I - Prob. 41RECh. 2.I - Section I • Understanding and working with...Ch. 2.I - Section I Understanding and working with...Ch. 2.I - Section I • Understanding and working with...Ch. 2.II - Determine the least common denominator of the...Ch. 2.II - Prob. 8TIECh. 2.II - Prob. 9TIECh. 2.II - Prob. 10TIECh. 2.II - Prob. 11TIECh. 2.II - Prob. 12TIECh. 2.II - Prob. 13TIECh. 2.II - Prob. 1RECh. 2.II - Prob. 2RECh. 2.II - Prob. 3RECh. 2.II - Prob. 4RECh. 2.II - Prob. 5RECh. 2.II - Prob. 6RECh. 2.II - Prob. 7RECh. 2.II - Prob. 8RECh. 2.II - Prob. 9RECh. 2.II - Prob. 10RECh. 2.II - Prob. 11RECh. 2.II - Prob. 12RECh. 2.II - Prob. 13RECh. 2.II - Prob. 14RECh. 2.II - Prob. 15RECh. 2.II - Prob. 16RECh. 2.II - Prob. 17RECh. 2.II - Crate and Barrel shipped three packages to New...Ch. 2.II - Prob. 19RECh. 2.II - BrewMasters Coffee Co. purchased 1212 tons of...Ch. 2.II - Prob. 21RECh. 2.II - Prob. 22RECh. 2.II - Prob. 23RECh. 2.II - Subtract the following fractions and reduce to...Ch. 2.II - Prob. 25RECh. 2.II - Prob. 26RECh. 2.II - Prob. 27RECh. 2.II - Prob. 28RECh. 2.II - Prob. 29RECh. 2.II - A particular dress requires 314 yards of fabric...Ch. 2.II - 31. Robert Burkart bought a frozen,...Ch. 2.II - 32. Brady White weighed pounds when he decided to...Ch. 2.II - Prob. 33RECh. 2.II - Tim Kenney, a painter, used 645 gallons of paint...Ch. 2.II - You are an executive with the Varsity Corporation...Ch. 2.III - Multiply and reduce to lowest terms.
Ch. 2.III - Multiply and reduce to lowest terms.
a. b.
Ch. 2.III - Divide the following fractions and mixed...Ch. 2.III - Multiply the following fractions and reduce to...Ch. 2.III - Multiply the following fractions and reduce to...Ch. 2.III - Multiply the following fractions and reduce to...Ch. 2.III - Multiply the following fractions and reduce to...Ch. 2.III - Multiply the following fractions and reduce to...Ch. 2.III - Multiply the following fractions and reduce to...Ch. 2.III - Multiply the following fractions and reduce to...Ch. 2.III - Multiply the following fractions and reduce to...Ch. 2.III - Multiply the following fractions and reduce to...Ch. 2.III - Multiply the following fractions and reduce to...Ch. 2.III - Multiply the following fractions and reduce to...Ch. 2.III - Multiply the following fractions and reduce to...Ch. 2.III - 13. A recent market research survey showed that ...Ch. 2.III - 14. Wendy Wilson planned to bake a triple recipe...Ch. 2.III - A driveway requires 912 truckloads of gravel. If...Ch. 2.III - Melissa Silva borrowed $4,200 from the bank. If...Ch. 2.III - Amy Richards movie collection occupies 58 of her...Ch. 2.III - Three partners share a business. Max owns 38,...Ch. 2.III - Divide the following fractions and reduce to...Ch. 2.III - Divide the following fractions and reduce to...Ch. 2.III - Divide the following fractions and reduce to...Ch. 2.III - Divide the following fractions and reduce to...Ch. 2.III - Divide the following fractions and reduce to...Ch. 2.III - Divide the following fractions and reduce to...Ch. 2.III - Divide the following fractions and reduce to...Ch. 2.III - Divide the following fractions and reduce to...Ch. 2.III - Divide the following fractions and reduce to...Ch. 2.III - Divide the following fractions and reduce to...Ch. 2.III - Divide the following fractions and reduce to...Ch. 2.III - Divide the following fractions and reduce to...Ch. 2.III - Frontier Homes, Inc., a builder of custom homes,...Ch. 2.III - An automobile travels 365 miles on 1623 gallons of...Ch. 2.III - 33. Pier 1 Imports purchased 600 straw baskets...Ch. 2.III - 34. At the Cattleman’s Market, pounds of...Ch. 2.III - 35. Super Value Hardware Supply buys nails in bulk...Ch. 2.III - The chef at the Sizzling Steakhouse has 140 pounds...Ch. 2.III - Regal Reflective Signs makes speed limit signs for...Ch. 2.III - 38. Engineers at Triangle Electronics use special...Ch. 2.III - 39. At Celtex Manufacturing, a chemical etching...Ch. 2.III - 40. You are the owner of The Gourmet Diner. On...Ch. 2 - 1. In fractions, the number above the division...Ch. 2 - 2. The numerator of a proper fraction is...Ch. 2 - To convert an improper fraction to a whole or...Ch. 2 - 4. To convert a mixed number to an improper...Ch. 2 - Prob. 5CRCh. 2 - Prob. 6CRCh. 2 - Prob. 7CRCh. 2 - Prob. 8CRCh. 2 - Prob. 9CRCh. 2 - Prob. 10CRCh. 2 - Prob. 11CRCh. 2 - Prob. 12CRCh. 2 - Prob. 13CRCh. 2 - Prob. 14CRCh. 2 - Identify the type of fraction and write it in word...Ch. 2 - Prob. 2ATCh. 2 - Prob. 3ATCh. 2 - Prob. 4ATCh. 2 - Prob. 5ATCh. 2 - Prob. 6ATCh. 2 - Prob. 7ATCh. 2 - Prob. 8ATCh. 2 - Prob. 9ATCh. 2 - Convert to higher terms as indicated.
10. to...Ch. 2 - Prob. 11ATCh. 2 - Prob. 12ATCh. 2 - Prob. 13ATCh. 2 - Prob. 14ATCh. 2 - Prob. 15ATCh. 2 - Prob. 16ATCh. 2 - Prob. 17ATCh. 2 - Prob. 18ATCh. 2 - Prob. 19ATCh. 2 - Prob. 20ATCh. 2 - 21. The Bean Counters, an accounting firm, has 161...Ch. 2 - Ventura Coal mined 623 tons on Monday, 734 tons on...Ch. 2 - 23. A blueprint of a house has a scale of 1 inch...Ch. 2 - If 38 of a 60-pound bag of ready-mix concrete is...Ch. 2 - Prob. 25ATCh. 2 - 26. During a spring clearance sale, Sears...Ch. 2 - You are a sales representative for Boaters...Ch. 2 - 28. A developer owns three lots measuring acres...Ch. 2 - 29. A house has 4,400 square feet. The bedrooms...Ch. 2 - 30. Among other ingredients, a recipe for linguini...Ch. 2 - You are an engineer with Ace Foundations, Inc....
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- Q/show that 2" +4 has a removable discontinuity at Z=2i Z(≥2-21)arrow_forwardRefer to page 100 for problems on graph theory and linear algebra. Instructions: • Analyze the adjacency matrix of a given graph to find its eigenvalues and eigenvectors. • Interpret the eigenvalues in the context of graph properties like connectivity or clustering. Discuss applications of spectral graph theory in network analysis. Link: [https://drive.google.com/file/d/1wKSrun-GlxirS3IZ9qoHazb9tC440 AZF/view?usp=sharing]arrow_forwardRefer to page 110 for problems on optimization. Instructions: Given a loss function, analyze its critical points to identify minima and maxima. • Discuss the role of gradient descent in finding the optimal solution. . Compare convex and non-convex functions and their implications for optimization. Link: [https://drive.google.com/file/d/1wKSrun-GlxirS31Z9qo Hazb9tC440 AZF/view?usp=sharing]arrow_forward
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