17th Edition

ISBN: 9780998625713

Author: Lynn Marecek, MaryAnne Anthony-Smith

Publisher: OpenStax - Rice University

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Chapter 6.2, Problem 168E

Depreciation Once a new car is driven away from the dealer, it begins to lose value. Each year, a car loses 10% of its value. This means that each year the value of a car is 90% of the previous year’s value. If a new car was purchased for $20,000, the value at the end of the first year would be $20000(0.90) and the value of the car after the end of the second year would be $20000(0.90)². Complete the table shown below. What will be the value of the car at the end of the eighth year? Simplify the expression, to show the value in dollars.

Chapter 6.2, Problem 168E, Depreciation Once a new car is driven away from the dealer, it begins to lose value. Each year, a

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Chapter 6.2, Problem 167E

Chapter 6.2, Problem 169E

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(20 p) 1. Find a particular solution satisfying the given initial conditions for the third-order homogeneous linear equation given below. (See Section 5.2 in your textbook if you need a review of the subject.) y(3)+2y"-y-2y = 0; y(0) = 1, y'(0) = 2, y"(0) = 0; y₁ = e*, y2 = e¯x, y3 = e−2x (20 p) 2. Find a particular solution satisfying the given initial conditions for the second-order nonhomogeneous linear equation given below. (See Section 5.2 in your textbook if you need a review of the subject.) y"-2y-3y = 6; y(0) = 3, y'(0) = 11 yc = c₁ex + c2e³x; yp = −2 (60 p) 3. Find the general, and if possible, particular solutions of the linear systems of differential equations given below using the eigenvalue-eigenvector method. (See Section 7.3 in your textbook if you need a review of the subject.) = a) x 4x1 + x2, x2 = 6x1-x2 b) x=6x17x2, x2 = x1-2x2 c) x = 9x1+5x2, x2 = −6x1-2x2; x1(0) = 1, x2(0)=0

4. In a study of how students give directions, forty volunteers were given the task ofexplaining to another person how to reach a destination. Researchers measured thefollowing five aspects of the subjects’ direction-giving behavior:• whether a map was available or if directions were given from memory without a map,• the gender of the direction-giver,• the distances given as part of the directions,• the number of times directions such as “north” or “left” were used,• the frequency of errors in directions.a) Identify each of the variables in this study, and whether each is quantitative orqualitative. For each quantitative variable, state whether it is discrete or continuousb) Was this an observational study or an experimental study? Explain your answer

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Chapter 6 Solutions

Elementary Algebra

Ch. 6.1 - Determine whether each polynomial is a monomial,...Ch. 6.1 - Determine whether each polynomial is a monomial,...Ch. 6.1 - Find the degree of the following polynomials: (a)...Ch. 6.1 - Find the degree of the following polynomials: (a)...Ch. 6.1 - Add: 12q2+9q2 .Ch. 6.1 - Add: 15c2+8c2 .Ch. 6.1 - Subtract: 8m(5m) .Ch. 6.1 - Subtract: 15z3(5z3) .Ch. 6.1 - Add: 8y2+3z23y2 .Ch. 6.1 - Add: 3m2+n27m2 .

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