You deposit $1000 in an account with an annual interest rate of r (in decimal form) compounded monthly. At the end of 5 years, the balance A is A = 1000  1 +  r 12   60  . Find the rates of change of A with respect to r when  r = 0.09,   r = 0.12,  and  r = 0.15.  (Round your answer to two decimal places.) (a) r = 0.09 $  per 100 percentage points (b) r = 0.12 $  per 100 percentage points (c) r = 0.15  $  per 100 percentage points

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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You deposit $1000 in an account with an annual interest rate of r (in decimal form) compounded monthly. At the end of 5 years, the balance A is
A = 1000
 
1 + 
r
12
  60
 
.
Find the rates of change of A with respect to r when 
r = 0.09,
 
r = 0.12,
 and 
r = 0.15.
 (Round your answer to two decimal places.)
(a)
r = 0.09
$  per 100 percentage points
(b)
r = 0.12
$  per 100 percentage points
(c)
r = 0.15 
$  per 100 percentage points
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