Concept explainers
In Exercises 11-14, use
Round all computation to the nearest dollar.
Suppose that you drive 15,000 miles per year and gas averages $3.50 per gallon.
a. What will you save annual fuel expenses by owning a hybrid car averaging 60 miles per gallon rather than SUV averaging 15 miles per gallon?
b. If you deposit your monthly fuel savings await the end of each month into an annuity that pays 5. 7% compounded monthly, how much will you have saved at end of six years?
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EP THINKING MATHEMATICALLY-ACCESS
- (65) Estimating Heights. An anthropologist can use cer- tain linear functions to estimate the height of a male or female, given the length of certain bones. The humerus is the bone from the elbow to the shoulder. Let x be the length of the humerus, in centimeters. Then the height, in centimeters, of a male with a humerus of length x is given by M(x)=2.89x+ 70.64. The height, in centimeters, of a female with a humerus of length x is given by F(x)=2.75x + 71.48. Humerusarrow_forward#2arrow_forward#19, #25arrow_forward
- Refer to page 74 for a non-homogeneous differential equation. Solve it using the method of variation of parameters. Outline each step clearly, including finding the complementary solution and particular solution. Instructions: Focus on solving the problem only. Provide a detailed step-by-step solution, show all calculations, and avoid irrelevant explanations. Link: [https://drive.google.com/file/d/1wKSrun-GlxirS31Z9qoHazb9tC440AZF/view?usp=sharing]arrow_forward#17arrow_forward#25arrow_forward
- A surface integral problem can be found on page 88. Use Stokes' Theorem to convert the surface integral into a line integral. Solve it step-by-step, ensuring that all vector field and curve calculations are clearly shown. Instructions: Provide only relevant steps. Outline the problem, apply Stokes' Theorem, and show all vector field and integral calculations without skipping steps. Link: [https://drive.google.com/file/d/1wKSrun-GlxirS3IZ9qoHazb9tC440 AZF/view?usp=sharing]arrow_forward#15arrow_forward#29arrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageAlgebra: Structure And Method, Book 1AlgebraISBN:9780395977224Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. ColePublisher:McDougal Littell