A music group expects to sell a new compact disc (CD) at the rate R(t)=20,000e−0.12t CDs per week, where t denotes the number of weeks since the CD was first released. To the nearest thousand, how many CDs are expected to be sold during the first 12 weeks after the release?

Answers

Answer 1

Answer:

4739 CDs

Step-by-step explanation:

Given the function that models the rate at which the disc is sold expressed as;

R(t)=20,000e^−0.12t

t is the number of weeks since the CD was first released

We are to look for the number of CDs that are expected to be sold during the first 12 weeks after the release. To do this, you will simply substitute t = 12 into the modeled function and get R(12) as shown;

R(t)=20,000e^−0.12t

R(12)=20,000e^−0.12(12)

R(12)=20,000e^−1.44

R(12)=20,000(0.2369)

R(12) = 4738.56

Hence the total number of CDs expected to be sold to nearest thousand is 4739 CDs

Answer 2

Answer:

127,000

Step-by-step explanation:

you take the integral from 0 to 12 of R(t)


Related Questions

What is the y-intercept and slope of the following equation y=8-2x​

Answers

Answer:

Sloper = -2

y-intercept = (0,8)

Step-by-step explanation:

y=8-2x

y=-2x+8

m=-2

b=8

Answer:

slope(m)=-2

y-intercept (c)=8

Step-by-step explanation:

here,y=-2x+8

reducing it into slope intercept form we get,

y=(-2)x+8

comparing it with y=mx+c we get,

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y-intercept(c)=8

Use point-slope form, y - y1 = m(x - x1), to find the linear equation of a line that passes through the points (3, -1) and (1, 1).

Answers

Answer:

Plug it in.

y = -1, y1 = 1

x = 3, x1 = 1

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answer:

x>9/5

Step-by-step explanation:

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Find the value of x.
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What is the value of the expression 1/2-(-1/3+2/5)

Answers

answer 13/30

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Step-by-step explanation:

determine the measure of each segment then indicate whether the statements are true or false

Answers

Answer:

[tex]d_{AB}\ne d_{JK}[/tex]

[tex]d_{AB}\ne \:d_{GH}[/tex]

[tex]d_{GH}\ne \:d_{JK}[/tex]

Therefore,

Option (A) is false

Option (B) is false

Option (C) is false

Step-by-step explanation:

Considering the graph

Given the vertices of the segment AB

A(-4, 4)B(2, 5)

Finding the length of AB using the formula

[tex]d_{AB}\:=\:\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]

        [tex]=\sqrt{\left(2-\left(-4\right)\right)^2+\left(5-4\right)^2}[/tex]

         [tex]=\sqrt{\left(2+4\right)^2+\left(5-4\right)^2}[/tex]

         [tex]=\sqrt{6^2+1}[/tex]

         [tex]=\sqrt{36+1}[/tex]

        [tex]=\sqrt{37}[/tex]

[tex]d_{AB}\:=\sqrt{37}[/tex]

[tex]d_{AB}=6.08[/tex] units        

Given the vertices of the segment JK

J(2, 2)K(7, 2)

From the graph, it is clear that the length of JK = 5 units

so

[tex]d_{JK}=5[/tex] units

Given the vertices of the segment GH

G(-5, -2)H(-2, -2)

Finding the length of GH using the formula

[tex]d_{GH}\:=\:\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]

         [tex]=\sqrt{\left(-2-\left(-5\right)\right)^2+\left(-2-\left(-2\right)\right)^2}[/tex]

          [tex]=\sqrt{\left(5-2\right)^2+\left(2-2\right)^2}[/tex]

          [tex]=\sqrt{3^2+0}[/tex]

           [tex]=\sqrt{3^2}[/tex]

[tex]\mathrm{Apply\:radical\:rule\:}\sqrt[n]{a^n}=a,\:\quad \mathrm{\:assuming\:}a\ge 0[/tex]

[tex]d_{GH}\:=\:3[/tex] units

Thus, from the calculations, it is clear that:

[tex]d_{AB}=6.08[/tex]  

[tex]d_{JK}=5[/tex]

[tex]d_{GH}\:=\:3[/tex]

Thus,

[tex]d_{AB}\ne d_{JK}[/tex]

[tex]d_{AB}\ne \:d_{GH}[/tex]

[tex]d_{GH}\ne \:d_{JK}[/tex]

Therefore,

Option (A) is false

Option (B) is false

Option (C) is false

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Answers

Answer:

0.5x + 2

Step-by-step explanation:

You switch x and y and then solve for x to find the inverse.

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Answers

Answer:

b

Step-by-step explanation:

Answer:

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Step-by-step explanation:

nelson middle school raised $19950 on ticket sales for its carnival fundraiser last year at $15 per ticket. if the school sells the same number of tickets this year but charges $20 per ticket how much money will the school make? can you explain i dont want tue anwer​

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What is the least common denominator of 11/6 and 9/10?

Answers

Answer:

The least common denominator is 30

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answer:

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Answers

Answer:

Length = 18

Step-by-step explanation:

Length= 2w - 4

Perimeter= 58

Perimeter= 2L + 2w

58 = 2(2w-4) + 2w

58 = 4w -8 + 2w

58 = 6w - 8

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pleaseeee helpppppp !!!!!!! Will mark Brianliest !!!!!!!!!!!!!!

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6.85565

Step-by-step explanation:

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Mount Everest Great Himalayas of southern Asia 8,849.87 meters
Mount Kilimanjaro Tanzania, Africa 5,894.83 meters
Mount Olympus Mytikas, Greece 2,919.07 meters
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Part B:

Use scientific notation to calculate the following:
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Answer:

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Step-by-step explanation:

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Answers

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Answer:

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Step-by-step explanation:

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Answers

Answer:

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Answers

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Say it with me.

ALL TRIANGLES MUST EQUAL 180 DEGREES!

ALL TRIANGLES MUST EQUAL 180 DEGREES!

ALL TRIANGLES MUST EQUAL 180 DEGREES!

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Answers

Answer:

Option A: 300 + 10x

Option B: 35x

Step-by-step explanation:

option A:

$300 + $10 per lesson

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Option B:

$35 per lesson

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Answers

Answer:

the answer is D

Step-by-step explanation:

Answer: D AKA (10*5)

Step-by-step explanation:

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