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An investment of $8,000 earns interest at an annual rate of 6.5% 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 3 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 $11,500. $ (Round to two decimal places as needed).

An investment of $8,000 earns interest at an annual rate of 6.5% 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 3 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 $11,500. $ (Round to two decimal places as needed).

Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter4: Exponential And Logarithmic Functions
Section4.CT: Chapter Test
Problem 11CT
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An investment of $8,000 earns interest at an annual rate of 6.5% 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 3 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 $11,500. 2$ (Round to two decimal places as needed). Derivatives of Exponential and Logarithmic Functions d eX = e*, dx d d e cx = ce Ox, -b* = b* In b dx For b> 0, b+ 1, се %3D dx d 1 d 1 1 For b>0, b+ 1, and x> 0, In x = dx log dx In b Print Done
Transcribed Image Text:An investment of $8,000 earns interest at an annual rate of 6.5% 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 3 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 $11,500. 2$ (Round to two decimal places as needed). Derivatives of Exponential and Logarithmic Functions d eX = e*, dx d d e cx = ce Ox, -b* = b* In b dx For b> 0, b+ 1, се %3D dx d 1 d 1 1 For b>0, b+ 1, and x> 0, In x = dx log dx In b Print Done
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