K An investment of $12,000 earns interest at an annual rate of 7% compounded continuously. Complete parts (A) and (B) below. Click the icon to view the derivatives of exponential and logarithmic functions. (A) Find the instantaneous rate of change of the amount in the account after 2 year(s). $ (Round to two decimal places as needed). (B) Find the instantaneous rate of change of the amount in the account at the time the amount is equal to $12,000. $ (Round to two decimal places as needed).

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.1: Exponential Functions
Problem 68SE: An investment account with an annual interest rateof 7 was opened with an initial deposit of 4,000...
Question
K
An investment of $12,000 earns interest at an annual rate of 7% compounded continuously. Complete parts (A) and (B) below.
Click the icon to view the derivatives of exponential and logarithmic functions.
(A) Find the instantaneous rate of change of the amount in the account after 2 year(s).
$
(Round to two decimal places as needed).
(B) Find the instantaneous rate of change of the amount in the account at the time the amount is equal to $12,000.
$
(Round to two decimal places as needed).
Transcribed Image Text:K An investment of $12,000 earns interest at an annual rate of 7% compounded continuously. Complete parts (A) and (B) below. Click the icon to view the derivatives of exponential and logarithmic functions. (A) Find the instantaneous rate of change of the amount in the account after 2 year(s). $ (Round to two decimal places as needed). (B) Find the instantaneous rate of change of the amount in the account at the time the amount is equal to $12,000. $ (Round to two decimal places as needed).
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