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)

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Exponential And Logarithmic Functions
Section: Chapter Questions
Problem 37CT: On the day a grandchild is born, a grandparent deposits $2500 in a fund earning 7.5% interest,...
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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)
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)
Expert Solution
Step 1

The given data is:

At=9001.03t

Now 

A0=9001.030=900A4=9001.034=1012.9579A8=9001.038=1140.0930 

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