Chapter 14, Problem 5T

Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042

Chapter
Section

Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042
Textbook Problem

The monthly payment R on a loan is a function of the amount borrowed, A, in thousands of dollars; the length of the loan, n, in years; and the annual interest rate, r, as a percent. Thus R = f ( A ,   n ,   r ) . In parts (a) and (b), write a sentence that explains the practical meaning of each mathematical statement.(a) f ( 94.5 ,   25 ,   7 )   =   $667.91 (b) ∂ f ∂ r ( 94.5 , 25 , 7 ) =$ 60.28 (c) Would ∂ f ∂ n ( 94.5 ,   25 ,   7 ) be positive, negative, or Zero? Explain.

(a)

To determine

The interpretation of function f(94.5,25,7)=$667.91. The monthly payment R on a loan is a function of the amount borrowed, A, in thousands of dollars; the length of the loan, n, in years; and the annual interest rate, r, as a percent. Thus, R=f(A,n,r). Explanation Given Information: The provided value is f(94.5,25,7)=$667.91.

Explanation:

Consider the problem, the monthly payment R on a loan is a function of the amount borrowed, A, in thousands of dollars; the length of the loan, n, in years; and the annual interest rate, r, as a percent. Thus, R=f(A,n,r).

The provided function is R=f(A,n,r)

(b)

To determine

The interpretation of function fr(94.5,25,7)=\$60.28. The monthly payment R on a loan is a function of the amount borrowed, A, in thousands of dollars; the length of the loan, n, in years; and the annual interest rate, r, as a percent. Thus, R=f(A,n,r).

(c)

To determine

Whether fn(94.5,25,7) will be positive, negative or zero. The monthly payment R on a loan is a function of the amount borrowed, A, in thousands of dollars; the length of the loan, n, in years; and the annual interest rate, r, as a percent. Thus, R=f(A,n,r).

Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

Let f(x) = 1/x and g(x) = 2x + 3. Find: a. f(x)g(x) b. f(x)/g(x) c. f(g(x)) d. g(f(x))

Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach

Differentiate. f(x)=xx+cx

Single Variable Calculus: Early Transcendentals, Volume I

Fill in each blank: 250cm3=mL

Elementary Technical Mathematics

In Exercises 1-8, construct a truth table for each compound proposition. ~p~q

Finite Mathematics for the Managerial, Life, and Social Sciences