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).

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