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)


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Step-by-step explanation:

Write 968,000 in scientific notation.
A. 968 × 103
B. 96.8 × 102
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The answer is D I believe

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Find the value of x.
2x – 4
10

Answers

Answer: 7

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The length of a room is 4 feet less than twice its width. The perimeter of the room is 58 feet. What is the length of the room?

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

66 = 6w

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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

simplify
plz explain

Answers

Answer: [tex]\sqrt{7}[/tex] divided by 2

Step-by-step explanation:

[tex]\sqrt{4}[/tex] becomes 2 .2 [tex]\sqrt{28}[/tex] becomes 2 x 2[tex]\sqrt{7}[/tex], which would equal 4 [tex]\sqrt{7}[/tex]. Then I think you simplify the 2 and four ( 2/4 ), making the equation 1/2 x [tex]\sqrt{7}[/tex]. 1 x [tex]\sqrt{7}[/tex] would equal [tex]\sqrt{7}[/tex]. So I think the answer would be [tex]\sqrt{7}[/tex] divided by 2.

What is the solution set for

−4x + 10 ≥ 5x + 55?

Answers

the correct answer should be what is in the photo below

Answer:

x[tex]\leq[/tex]-5

Step-by-step explanation:

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Answer:

in 40 minutes, 15 degrees Farenheit  will be e

Step-by-step explanation:

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of Highest Peak
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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 A:

Use scientific notation to estimate the following:
How many times greater is Mount Everest's highest peak than Mount Olympus's?

Part B:

Use scientific notation to calculate the following:
How many times greater is Mount Everest's highest peak than Mount Olympus's?

Part C:

Given the calculation in Part B comparing the highest peaks of Mount Everest and Mount Olympus, can you conclude that the estimate in Part A is reasonable? Answer in complete sentences.

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Answer:

boo

Step-by-step explanation:

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Answer:

the answer is D

Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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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:

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Answers

3 (n + 1) (expression)

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Answer:

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Step-by-step explanation:

ALL TRIANGLES MUST EQUAL 180 DEGREES!

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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:

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Step-by-step explanation:

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slope(m)=-2

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Answer:

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Step-by-step explanation:

Big brain stuff

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Answers

Answer:

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Step-by-step explanation:

Answer:

30

Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answers

Answer:

b

Step-by-step explanation:

Answer:

Diagonals are congruent drop a like if you got it right

Step-by-step explanation:

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Step-by-step explanation:

im in precal and if i get this wrong i am so sorry

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Answers

the answer is x=1
Add the numbers
Combine like terms
Add
to both sides of the equation

Simplify

Divide both sides of the equation by the same term

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

-1 - 1 = m( 3 - 1)

-2 = 2m

m = -1

The slope is -1

y = -x +b

-1 = -3 +b

b = 2

The equation is y = -x + 2

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Step-by-step explanation:

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

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answer 13/30

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Step-by-step explanation:

Find the measure of x.
7.
105° X 123 - 111
a. 105
C. 43

Answers

Answer:

43

Step-by-step explanation:

105+2x-11=180(vertically opp.t)

94+2x=180

2x=180-94

x=86/2

x=43

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