The sales of a new high-tech item (in thousands) are given by S(t) = 102 - 90 e -0.31 where t represents time in years. Find the rate of change of sales at each time. a.) After 1 year. b.) After 5 years. c.) What is happening to the rate of change of sales as time goes on? d.) Does the rate of change of sales eve a. The rate of change after 1 year is thousand items per year. (Round to three decimal places as needed.) b. The rate of change after 5 years is thousand items per year. (Round to three decimal places as needed.) c. What is happening to the rate of change of sales as time goes on? O A. It always decreases. O B. It always increases. O C. First it increases, then it decreases. O D. First it decreases, then it increases. d. Does the rate of change of sales ever equal zero? O Yes O No Click to select vour answer/e)

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.1: Exponential Functions
Problem 60SE: The formula for the amount A in an investmentaccount with a nominal interest rate r at any timet is...
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The sales of a new high-tech item (in thousands) are given by
S(t) = 102 - 90 e -0.31
where t represents time in years. Find the rate of change of sales at each time.
a.) After 1 year. b.) After 5 years. c.) What is happening to the rate of change of sales as time goes on? d.) Does the rate of change of sales eve
a. The rate of change after 1 year is thousand items per year.
(Round to three decimal places as needed.)
b. The rate of change after 5 years is thousand items per year.
(Round to three decimal places as needed.)
c. What is happening to the rate of change of sales as time goes on?
O A. It always decreases.
O B. It always increases.
O C. First it increases, then it decreases.
O D. First it decreases, then it increases.
d. Does the rate of change of sales ever equal zero?
O Yes
O No
Click to select vour answer/e)
Transcribed Image Text:The sales of a new high-tech item (in thousands) are given by S(t) = 102 - 90 e -0.31 where t represents time in years. Find the rate of change of sales at each time. a.) After 1 year. b.) After 5 years. c.) What is happening to the rate of change of sales as time goes on? d.) Does the rate of change of sales eve a. The rate of change after 1 year is thousand items per year. (Round to three decimal places as needed.) b. The rate of change after 5 years is thousand items per year. (Round to three decimal places as needed.) c. What is happening to the rate of change of sales as time goes on? O A. It always decreases. O B. It always increases. O C. First it increases, then it decreases. O D. First it decreases, then it increases. d. Does the rate of change of sales ever equal zero? O Yes O No Click to select vour answer/e)
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