The total accumulated costs C(t) and revenues R(t) (in thousands of dollars), respectively, for a photocopying machine satisfy 1 28 C'(t)= t and R'(t)=3te² where t is the time in years. Find the useful life of the machine, to the nearest year. What is the total profit accumulated during the useful life of the machine? The useful life of the machine is year(s). (Round to the nearest year as needed.) Using the useful life of the machine rounded to the nearest year, the total profit accumulated during the useful life of the machine is $ (Round to the nearest dollar as needed.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 9T
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The total accumulated costs C(t) and revenues R(t) (in thousands of dollars), respectively, for a photocopying machine satisfy
1
28
C'(t)= t
and
R'(t)=3te²
where t is the time in years. Find the useful life of the machine, to the nearest year. What is the total profit accumulated during the useful life of the machine?
The useful life of the machine is
year(s).
(Round to the nearest year as needed.)
Using the useful life of the machine rounded to the nearest year, the total profit accumulated during the useful life of the machine is $
(Round to the nearest dollar as needed.)
Transcribed Image Text:The total accumulated costs C(t) and revenues R(t) (in thousands of dollars), respectively, for a photocopying machine satisfy 1 28 C'(t)= t and R'(t)=3te² where t is the time in years. Find the useful life of the machine, to the nearest year. What is the total profit accumulated during the useful life of the machine? The useful life of the machine is year(s). (Round to the nearest year as needed.) Using the useful life of the machine rounded to the nearest year, the total profit accumulated during the useful life of the machine is $ (Round to the nearest dollar as needed.)
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