An investment of $10,000 earns interest at an annual rate of 6.7% compounded continuously. Find the instantaneous rate of change in the amount in the account after 1 years (in dollars per year).  Round to the nearest cent. $ ______per year.   Then, find the instantaneous rate of change in the amount in the account at the time the amount is equal to $13,441.  Round to the nearest cent. $ _____per year.

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...
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An investment of $10,000 earns interest at an annual rate of 6.7% compounded continuously.

Find the instantaneous rate of change in the amount in the account after 1 years (in dollars per year).  Round to the nearest cent.

$ ______per year.  

Then, find the instantaneous rate of change in the amount in the account at the time the amount is equal to $13,441.  Round to the nearest cent.

$ _____per year.  

 

 
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