Contemporary Mathematics for Business & Consumers
8th Edition
ISBN: 9781305886803
Author: Brechner
Publisher: Cengage
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Chapter 19, Problem 12CR
To determine
To fill: The blank in the statement, “A situation in which a business is covered by the fire insurance policies from more than one company at the same time is known as _____ carriers.”
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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
is closest to:
Click here to view Exhibit 12B-1 and Exhibit 12B-2, to determine the appropriate discount factor(s) using the tables provided.
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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 19 Solutions
Contemporary Mathematics for Business & Consumers
Ch. 19.I - Prob. 1TIECh. 19.I - Prob. 2TIECh. 19.I - Prob. 3TIECh. 19.I - Calculate the annual, semiannual, quarterly, and...Ch. 19.I - Calculate the annual. semiannual, quarterly, and...Ch. 19.I - Prob. 3RECh. 19.I - Calculate the annual. semiannual, quarterly, and...Ch. 19.I - Prob. 5RECh. 19.I - Calculate the annual. semiannual, quarterly, and...Ch. 19.I - Calculate the annual. semiannual, quarterly, and...
Ch. 19.I - Calculate the annual. semiannual, quarterly, and...Ch. 19.I - Prob. 9RECh. 19.I - Calculate the value of the nonforfeiture options...Ch. 19.I - Prob. 11RECh. 19.I - Prob. 12RECh. 19.I - Calculate the value of the nonforfeiture options...Ch. 19.I - Calculate the value of the nonforfeiture options...Ch. 19.I - Leroy Kirk is 35 years old and is interested in...Ch. 19.I - 16. Rene Boyer, age 27. wants to purchase a 5-year...Ch. 19.I - Carmen Gutierrez purchased a $75,000, 20-payment...Ch. 19.I - 18. Alex Baron is evaluating his life insurance...Ch. 19.I - Richard Ryan is evaluating his life insurance...Ch. 19.I - BUSINESS DECISION: THE CONSULTATION
20. Tina...Ch. 19.II - You are the insurance agent for Diamond...Ch. 19.II - Prob. 5TIECh. 19.II - Prob. 6TIECh. 19.II - Prob. 7TIECh. 19.II - Prob. 8TIECh. 19.II - Prob. 1RECh. 19.II - Prob. 2RECh. 19.II - Prob. 3RECh. 19.II - Calculate the building, contents, and total...Ch. 19.II - Prob. 5RECh. 19.II - Prob. 6RECh. 19.II - Prob. 7RECh. 19.II - Prob. 8RECh. 19.II - Prob. 9RECh. 19.II - Calculate the short-term premium and refund for...Ch. 19.II - Calculate the short-term premium and refund for...Ch. 19.II - Calculate the short-term premium and refund for...Ch. 19.II - Prob. 13RECh. 19.II - Prob. 14RECh. 19.II - Prob. 15RECh. 19.II - Calculate the amount to be paid by the insurance...Ch. 19.II - Prob. 17RECh. 19.II - Calculate the amount to be paid by the insurance...Ch. 19.II - Prob. 19RECh. 19.II - You are the insurance agent for Castle Mountain...Ch. 19.II - A property insurance policy has an annual premium...Ch. 19.II - 22. Insignia Enterprises has a property insurance...Ch. 19.II - Prob. 23RECh. 19.II - BUSINESS DECISION: BUSINESS INTERRUPTION INSURANCE...Ch. 19.III - Jeff Wasserman, owner of High Performance Racing...Ch. 19.III - Prob. 10TIECh. 19.III - Prob. 1RECh. 19.III - Prob. 2RECh. 19.III - Prob. 3RECh. 19.III - As an insurance agent, calculate the annual...Ch. 19.III - Prob. 5RECh. 19.III - Prob. 6RECh. 19.III - Prob. 7RECh. 19.III - As an insurance agent, calculate the annual...Ch. 19.III - 9. Rick Clinton wants to purchase an automobile...Ch. 19.III -
10. Howard Marshall’s Corvette was hit by a palm...Ch. 19.III - Ben Hoffman has motor vehicle liability insurance...Ch. 19.III - BUSINESS DECISION: INSURING THE FLEET
12. The...Ch. 19 - A mechanism for reducing financial risk and...Ch. 19 - 2. The amount of protection provided by an...Ch. 19 - Prob. 3CRCh. 19 - Prob. 4CRCh. 19 - Prob. 5CRCh. 19 - Prob. 6CRCh. 19 - Prob. 7CRCh. 19 - Prob. 8CRCh. 19 - The premium charged when a policy is canceled by...Ch. 19 - The clause in a property insurance policy...Ch. 19 - Prob. 11CRCh. 19 - Prob. 12CRCh. 19 - Prob. 13CRCh. 19 - Prob. 14CRCh. 19 - Prob. 1ATCh. 19 - Calculate the annual, semiannual, quarterly, and...Ch. 19 - Calculate the annual, semiannual, quarterly, and...Ch. 19 - Calculate the annual, semiannual, quarterly, and...Ch. 19 - Prob. 5ATCh. 19 - Prob. 6ATCh. 19 - Prob. 7ATCh. 19 - 8. Mary Hall purchased a $45,000 20-year endowment...Ch. 19 - Prob. 9ATCh. 19 - Calculate the building, contents, and total...Ch. 19 - Prob. 11ATCh. 19 - Prob. 12ATCh. 19 - Prob. 13ATCh. 19 - Calculate the short-term premium and refund for...Ch. 19 - Prob. 15ATCh. 19 - Calculate the amount to be paid by the insurance...Ch. 19 - Prob. 17ATCh. 19 - Prob. 18ATCh. 19 - Prob. 19ATCh. 19 - Prob. 20ATCh. 19 - Prob. 21ATCh. 19 - Prob. 22ATCh. 19 - Prob. 23ATCh. 19 - Prob. 24AT
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- 6. [10 marks] Let T be a tree with n ≥ 2 vertices and leaves. Let BL(T) denote the block graph of T. (a) How many vertices does BL(T) have? (b) How many edges does BL(T) have? Prove that your answers are correct.arrow_forward4. [10 marks] Find both a matching of maximum size and a vertex cover of minimum size in the following bipartite graph. Prove that your answer is correct. ย ພarrow_forward5. [10 marks] Let G = (V,E) be a graph, and let X C V be a set of vertices. Prove that if |S||N(S)\X for every SCX, then G contains a matching M that matches every vertex of X (i.e., such that every x X is an end of an edge in M).arrow_forward
- 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
- Refer to page 140 for problems on infinite sets. Instructions: • Compare the cardinalities of given sets and classify them as finite, countable, or uncountable. • Prove or disprove the equivalence of two sets using bijections. • Discuss the implications of Cantor's theorem on real-world computation. Link: [https://drive.google.com/file/d/1wKSrun-GlxirS31Z9qoHazb9tC440 AZF/view?usp=sharing]arrow_forwardRefer to page 120 for problems on numerical computation. Instructions: • Analyze the sources of error in a given numerical method (e.g., round-off, truncation). • Compute the error bounds for approximating the solution of an equation. • Discuss strategies to minimize error in iterative methods like Newton-Raphson. Link: [https://drive.google.com/file/d/1wKSrun-GlxirS31Z9qo Hazb9tC440 AZF/view?usp=sharing]arrow_forwardRefer to page 145 for problems on constrained optimization. Instructions: • Solve an optimization problem with constraints using the method of Lagrange multipliers. • • Interpret the significance of the Lagrange multipliers in the given context. Discuss the applications of this method in machine learning or operations research. Link: [https://drive.google.com/file/d/1wKSrun-GlxirS31Z9qo Hazb9tC440 AZF/view?usp=sharing]arrow_forward
- Only 100% sure experts solve it correct complete solutions okarrow_forwardGive an example of a graph with at least 3 vertices that has exactly 2 automorphisms(one of which is necessarily the identity automorphism). Prove that your example iscorrect.arrow_forward3. [10 marks] Let Go (Vo, Eo) and G₁ = (V1, E1) be two graphs that ⚫ have at least 2 vertices each, ⚫are disjoint (i.e., Von V₁ = 0), ⚫ and are both Eulerian. Consider connecting Go and G₁ by adding a set of new edges F, where each new edge has one end in Vo and the other end in V₁. (a) Is it possible to add a set of edges F of the form (x, y) with x € Vo and y = V₁ so that the resulting graph (VUV₁, Eo UE₁ UF) is Eulerian? (b) If so, what is the size of the smallest possible F? Prove that your answers are correct.arrow_forward
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