The total sales of S (in thousands of DVD's) of a certain movie are given by the following formula where t is the number of months since the release of the DVD. Use the formula to answer the questions. S(t)=90t2t2+100
The total sales of S (in thousands of DVD's) of a certain movie are given by the following formula where t is the number of months since the release of the DVD. Use the formula to answer the questions. S(t)=90t2t2+100
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 64E
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Question
The total sales of S (in thousands of DVD's) of a certain movie are given by the following formula where t is the number of months since the release of the DVD. Use the formula to answer the questions.
S(t)=90t2t2+100
Question content area bottom
Part 1
a) Find
S′(t).
S′(t)=enter your response here
Part 2
b) Find
S(20)
and
S′(20).
The value of
S(20)
rounded to the nearest hundredth is
enter your response here.
Part 3
The value of
S′(20)
rounded to the nearest hundredth is
enter your response here.
Part 4
What do the values for
S(20)
and
S′(20)
indicate?After
20
months, the total sales are
72,000
DVD's and the sales are increasing at the rate of
1.44
DVD's per month.After
20
months, the total sales are
72,000
DVD's and the sales are increasing at the rate of
1440
DVD's per month.After
20
months, the total sales are
1440
DVD's and the sales are increasing at the rate of
72
DVD's per month.After
20
months, the total sales are
14,400
DVD's and the sales are increasing at the rate of
7200
DVD's per month.Part 5
c) Use the results from part (b) to estimate the total sales after
21
months.After
21
months, the total sales will be approximately how many DVD's?enter your response here
(Round to the nearest whole number.)Expert Solution
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