The total accumulated costs C(t) and revenues R(t) (in thousands of dollars), respectively, for a photocopying machine satisfy 1 c'(t) = 85 +3 and R'(1) = 91³ e-t² 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.)
The total accumulated costs C(t) and revenues R(t) (in thousands of dollars), respectively, for a photocopying machine satisfy 1 c'(t) = 85 +3 and R'(1) = 91³ e-t² 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.)
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 14EQ
Question
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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
c'(t) = 85
+3 and
R'(1) = 91³ e-t²
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.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F35d4f0dc-aedf-41f2-afbb-f772aa2ee373%2F100b18e3-50ad-4ba2-9c16-c86fc87c5e7c%2Fq2kvjvq_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The total accumulated costs C(t) and revenues R(t) (in thousands of dollars), respectively, for a
photocopying machine satisfy
1
c'(t) = 85
+3 and
R'(1) = 91³ e-t²
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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