If $900 is invested in an account that pays 3% compounded annually, the total amount, A(t), in the account after t years is A(t) = 900(1.03)'. a. Find the average rate of change per year of the total amount in the account for the first four years of the investment (from t=0 tot = 4). b. Find the average rate of change per year of the total amount in the account for the second four years of the investment (from t=4 to t = 8). c. Estimate the instantaneous rate of change for t=4. a. Which of the following is the correct formula for finding the average rate of change from t= a to t=b? A(4) A(0) OA. OB. O C. O D. A(0)-A(4) 4 A(4) - A(0) 4 A(4) 4 www -A(0)
If $900 is invested in an account that pays 3% compounded annually, the total amount, A(t), in the account after t years is A(t) = 900(1.03)'. a. Find the average rate of change per year of the total amount in the account for the first four years of the investment (from t=0 tot = 4). b. Find the average rate of change per year of the total amount in the account for the second four years of the investment (from t=4 to t = 8). c. Estimate the instantaneous rate of change for t=4. a. Which of the following is the correct formula for finding the average rate of change from t= a to t=b? A(4) A(0) OA. OB. O C. O D. A(0)-A(4) 4 A(4) - A(0) 4 A(4) 4 www -A(0)
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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![If $900 is invested in an account that pays 3% compounded annually, the total amount, A(t), in the account after t years is A(t) = 900(1.03)¹.
a. Find the average rate of change per year of the total amount in the account for the first four years of the investment (from t=0 to t = 4).
b. Find the average rate of change per year of the total amount in the account for the second four years of the investment (from t = 4 to t = 8).
c. Estimate the instantaneous rate of change for t = 4.
a. Which of the following is the correct formula for finding the average rate of change from t = a to t = b?
A(4)
A(0)
O A.
OB.
O C.
O D.
A(0) - A(4)
4
A(4)-A(0)
4
A(4)
4
- A(0)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Feb9e7f01-19cd-4a22-9c4d-d89c31dc6fce%2F727d675a-614e-499b-a331-9dca1ae4344f%2Fali54hl_processed.jpeg&w=3840&q=75)
Transcribed Image Text:If $900 is invested in an account that pays 3% compounded annually, the total amount, A(t), in the account after t years is A(t) = 900(1.03)¹.
a. Find the average rate of change per year of the total amount in the account for the first four years of the investment (from t=0 to t = 4).
b. Find the average rate of change per year of the total amount in the account for the second four years of the investment (from t = 4 to t = 8).
c. Estimate the instantaneous rate of change for t = 4.
a. Which of the following is the correct formula for finding the average rate of change from t = a to t = b?
A(4)
A(0)
O A.
OB.
O C.
O D.
A(0) - A(4)
4
A(4)-A(0)
4
A(4)
4
- A(0)
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