Concept explainers
In Exercises 1-10, use
Round answers to the nearest dollar.
Suppose that you drive 40,000 miles per year and gas averages $4 per gallon.
a. What will you save annual fuel expenses by owning a hybrid car averaging 40 miles per gallon rather than SUV averaging 16 miles per gallon?
b. If you deposit your monthly fuel savings await the end of each month into an annuity that pays 5.2% compounded monthly, how much will you have saved at end of six years?
Want to see the full answer?
Check out a sample textbook solutionChapter 8 Solutions
Thinking Mathematically (7th Edition)
- 7. [10 marks] Let G = (V,E) be a 3-connected graph with at least 6 vertices. Let C be a cycle in G of length 5. We show how to find a longer cycle in G. (a) Let x be a vertex of G that is not on C. Show that there are three C-paths Po, P1, P2 that are disjoint except at the shared initial vertex and only intersect C at their final vertices. (b) Show that at least two of P0, P1, P2 have final vertices that are adjacent along C. (c) Combine two of Po, P1, P2 with C to produce a cycle in G that is longer than C.arrow_forward1. Let X and Y be random variables and suppose that A = F. Prove that Z XI(A)+YI(A) is a random variable.arrow_forward30. (a) What is meant by the term "product measur"? ANDarrow_forward
- 14. Define X-(H) for a given H E R. Provide a simple example.arrow_forwardLet G be a connected graph with n ≥ 2 vertices. Let A be the adjacency matrix of G. Prove that the diameter of G is the least number d such that all the non-diagonal entries of the matrix A are positive.arrow_forwardfind the general soultion (D-DxDy-2Dx)Z = sin(3x+4y) + x²yarrow_forward
- 3. Show that (a) If X is a random variable, then so is |X|;arrow_forward8. [10 marks] Suppose that 15 people are at a dinner and that each person knows at least 9 of the others. Can the diners be seated around a circular table so that each person knows both of their immediate neighbors? Explain why your answer is correct.arrow_forwarddx Y+2 h dy x + Z " dz X+Z find three Soultion indeparedarrow_forward
- Algebra: Structure And Method, Book 1AlgebraISBN:9780395977224Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. ColePublisher:McDougal LittellAlgebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageTrigonometry (MindTap Course List)TrigonometryISBN:9781337278461Author:Ron LarsonPublisher:Cengage Learning
- College AlgebraAlgebraISBN:9781305115545Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage LearningGlencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill