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 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:

You want to learn karate at a fitness center. You have two options; option A is to pay a $300 registration fee plus $10 per additional lesson. Option B is pay $35 for each lesson you attend. Make equations to represent the total cost of Option A and B.

Answers

Answer:

Option A: 300 + 10x

Option B: 35x

Step-by-step explanation:

option A:

$300 + $10 per lesson

Total cost = 300 + 10x

Option B:

$35 per lesson

Total = 35x

Where,

x = number of lessons

The equations to represent the total cost of Option A and B are 300 + 10x and 35x respectively

Linear equations- please help me
−5(5x+3)−5x+1=−44

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 your trendline to find the temperature of your Spaghettios after 40 minutes. Is this an example of interpolation or extrapolation?

NEED HELP ASAP WITH SHOWN WORK!!!!!!!!!!!!

Answers

Answer:

in 40 minutes, 15 degrees Farenheit  will be e

Step-by-step explanation:

Write the verbal phrase as a algebraic expression
three times the sum of a number and 1

Answers

3 (n + 1) (expression)

3n + 3 (expression simplified)

I need the answer for this equation

Answers

Answer:

c

Step-by-step explanation:

Answer:

It’s... d or c

Step-by-step explanation:

I think

Type the correct answer in each box. Use numerals Instead of words. If necessary, use / for the fraction bar(s).
Complete the inverse function for the function glven below.

Answers

Answer:

0.5x + 2

Step-by-step explanation:

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

easy question/ whats |9x|=-9

Answers

Answer:

you divide 9 from both side and get x=-1

Step-by-step explanation:

Big brain stuff

x=1 Thats  the answer

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:

the least common multiple ( L.C.M ) of 6 and 10 = 30

Pl help me I will give Brainly

Answers

Answer:

Both gyms charge the same after 2 months and LA fitness has a greater initial fee.

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​

Answers

19950/15=1330
1330*20=26600

Need this for my final... PLEASE. HELP

Answers

Answer:

I will answer it but what is the question?

Step-by-step explanation:

Which statement is not always true for a parallelogram?

Answers

Answer:

b

Step-by-step explanation:

Answer:

Diagonals are congruent drop a like if you got it right

Step-by-step explanation:

403 students go on a field trip there are 19 vehicles some vans and some buses. 7 students can fit in a van and 25 students can fit in a bus​

Answers

Answer:

Shii I hope so

Step-by-step explanation:

Find the value of x.
2x – 4
10

Answers

Answer: 7

Step-by-step explanation:if 10 and the other equation are the same then 2(7)-4=10

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

Hope this helps u...

I need help. Please answer if u do know

Answers

Answer:

i think is (-3,2) because it look like in negative and posted

What is the exponential form of the expanded form below? 10.10.10.10.10. A 5.10 B 5)10 C 10)1. D 10)5 ​

Answers

Answer:

the answer is D

Step-by-step explanation:

Answer: D AKA (10*5)

Step-by-step explanation:

I took the test on edge 2020 and it was correct!! and 10 5 times would make more sense being D which is 10*5

STAY SAFE :)

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

Answers

Answer:

6.85565

Step-by-step explanation:

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

Answers

answer 13/30

or 0.43 repeating

Step-by-step explanation:

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

Hope this helps.

Step-by-step explanation:

please help me with this question ​

Answers

Answer:

top right and bottom left

Step-by-step explanation:

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

but im pretty sure those r what increasing graphs look like as the increase in a positive direction

hope this is correct and helps :)

Write 968,000 in scientific notation.
A. 968 × 103
B. 96.8 × 102
C. 9.68 × 104
D. 9.68 × 105

Answers

The answer is D I believe

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

11 = w

Plug in width to find the variable L

58 = 2L + 2(11)

58 = 2L + 22

36 = 2L

18 = L

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 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,

slope(m)=-2

y-intercept(c)=8

John Muir was an American naturalist born in Scotland on April 21, 1838. As one of the first advocates of the United States' wilderness preservation, Muir spent his career writing letters, essays and books about many of his experiences in the Sierra Nevada mountains, located in northern California. Muir's influence on the history of American wilderness continues to live on past his death (in the early twentieth century) as people of all ages visit and hike through the 221 miles of the John Muir Trail, named in Muir's honor. The trail begins in Yosemite National Park and concludes at Mount Whitney, which contains the highest peak of the continental United States.

The following table compares Mount Whitney"s height, in meters, to other monumental peaks of the world.

Mountain Location Height (in meters)
of Highest Peak
Mount Whitney California, United States 4,418.38 meters
Mount Fuji Fuji-Hakone-Izu National Park, Japan 3,775.86 meters
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
Use the data in the table to complete Parts A, B, and C. In your final answers, include your work for all estimates and calculations.

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.

Answers

Answer:

boo

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

what's the answer? ​

Answers

Answer:

80 degrees

Step-by-step explanation:

ALL TRIANGLES MUST EQUAL 180 DEGREES!

180-70-30 = 80

Say it with me.

ALL TRIANGLES MUST EQUAL 180 DEGREES!

ALL TRIANGLES MUST EQUAL 180 DEGREES!

ALL TRIANGLES MUST EQUAL 180 DEGREES!

Also, triangle CED reflects over the invisible y-axis. Angle C is shared = 70. Angle E is Angle A, and Angle B is Angle D (which is 80 degrees).

Solve 2/3x - 1/5 > 1

Answers

Answer:

x>9/5

Step-by-step explanation:

Answer:

9/5

Step-by-step explanation:

got it right

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