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's 3 5/6 divided by 3 3/4 in Simplest form

Answers

Answer:

= 1   1/45

Step-by-step explanation:

3 5/6   /   3 3/4

23 /  15

6       4

23 x 4   =  92

6     15  =   90

=  46

   45

= 1   1/45

Thomas was selling tickets to his school play. The tickets cost $5.00 for adults and $2.00 for children. He sold 200 tickets
and collected $610. Which system represents the number of adult and child tickets that Thomas sold?
O x+y=200
5x+2y= 610
o
X+y=610
5x+2y= 200
O x=
X+ y = 200
x+2y=610
O x+y= 200
5x+y=610

Answers

Answer:

I believe the answer is A

Step-by-step explanation:

on edge

The required system of equations represents the number of adult and child tickets that Thomas sold is x + y = 210 and 5x + 2y = 610. Option A is correct.

What are simultaneous linear equations?

Simultaneous linear equations are two- or three-variable linear equations that can be solved together to arrive at a common solution.

Here,
Let the number of adult tickets is x and the number of children's tickets be y,
According to the quesiton,
The tickets cost $5.00 for adults and $2.00 for children. He sold 200 tickets and collected $610.

So equaiton models as,
x + y = 210
5x + 2y = 610

Thus, the required system of equations represents the number of adult and child tickets that Thomas sold is x + y = 210 and 5x + 2y = 610. Option A is correct.

Learn more about simultaneous equations here:

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Ratios. Fill in the blank using the Word Bank. A recipe for one batch of cookies calls for 5 cups of flour and 2 teaspoons of vanilla. How many batches can you make with 15 cups of flour and 6 teaspoons of vanilla?

Answers

Answer:

3 batches of cookies

Step-by-step explanation:

Bank. A recipe for one batch of cookies calls for 5 cups of flour and 2 teaspoons of vanilla.

How many batches can you make with 15 cups of flour and 6 teaspoons of vanilla?

We can calculate the batches using either cups of flour or number of teaspoons.

For flour

5 cups of flour = 1 batch of cookies

15 cups of flour = x

Cross Multiply

5x = 15 × 1

x = 15/5

x = 3 batches of cookies

For teaspoons of vanilla

2 teaspoons of vanilla = 1 batch of cookies

6 teaspoons of vanilla = x

Cross Multiply

2x = 6 × 1

x = 6/2

x = 3 batches of cookies.

Hence: you can make 3 batches of cookies with 15 cups of flour and 6 teaspoons of vanilla

What is the value of the expression 10 25 32 64​

Answers

Answer:

its 10

Step-by-step explanation:

2x5=10 or 2+2+2+2+2=10

Answer:

it is 32

Step-by-step explanation:

2x2x2x2x2=32

5a + 5b + 5c = −20
4a + 3b + 3c = −6
−4a + 3b + 3c = 9

Answers

Answer:

Step-by-step explanation:

Write down the equation of a line whose slope is -7 and crosses the y-axis at 7. Express in slope-intercept form.

Answers

Answer:

y= -7x+7

Step-by-step explanation:

y= mx+b

y= slope x+ y intercept

The equation of the line having the slope -7 and y-intercept  is 7 is: y = -7x + 7

What is the equation of line?

A straight line's equation is a relationship between its x and y coordinates, and it is written as y = mx + c, where m is the line's slope and c is its y-intercept.

We are given that the slope m is -7,

and the line crosses the y-axis at 7.

so the value of c = 7

Therefore, we can substitute these values into the slope-intercept form to get:

y = -7x + 7

So the equation of the line is y = -7x + 7.

To know more about Line check:

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help me plssssssssssssssssssss

Answers

Answer:

D

Step-by-step explanation:

It says she has a maximum, that means she cannot go pass the amount ($50)

It costs $7 to get in so you have to take that from what she has ($50)

so you need to have the opposite which would be to add on the left to spend

Help me out please anyone

Answers

Answer

its sorryyy

Step-by-step explanation:

Write the equation of the line that passes through the points (-4, 7) and (-6, -4).

Answers

Answer:

y = 11/2x + 29

Step-by-step explanation:

the slope goes up 11 and over 2 and the line crosses the y-axis at 29 so thats the y-intercept

A hairdresser receives a discount on each comb purchased. The original price of each comb is x dollars. The hairdresser purchases 15 combs for a total of (15x-45) dollars. By how much is each comb discounted?

Answers

Answer:

$3

Step-by-step explanation:

Given that:

Price of each comb = $[tex]x[/tex]

15 combs were purchased in = $[tex](15x-45)[/tex]

To find:

Amount of discount offered on each comb.

Solution:

First of all, let us calculate the price of 15 combs at the price of $[tex]x[/tex] each.

Original Price of 15 combs = Price of one comb [tex]\times[/tex] Number of combs = $15[tex]x[/tex]

Now, there is some discount provided on the purchase of 15 combs.

Discount offered on 15 combs = Original price of 15 combs - Discounted price of 15 combs = [tex]15x- (15x-45)[/tex] = $45

Discount offered on each comb = Discount on 15 combs divided by 15

Discount offered on each comb = [tex]\frac{45}{15}[/tex] = $3

Determine whether the following graph represents a function

Answers

Yes because it has only one y intercept

Step-by-step explanation:

Anything that has more than one y intercept isn't function.

Answer:

Yes

Step-by-step explanation:

the function doesnt go straight up, you cant have the same x coordinate, it doesnt work out

The list below shows the different choices of pizka at the local pizza shop:
- pepperoni: 4
- supreme: 7
- cheese: 6
- Hawaiian: 3
Based on these results, what is the theoretical probability of choosing a Hawaiian pizza?

Answers

hmmm i’m gonna say you’re mostly likely not gonna like that pizza because it is the least picked pizza.

Answer:

   

Step-by-step explanation:

   

Explain how mental math can be used to estimate a 15% tip on a taxi ride that costs $23.25. Find the tip using that method.

Answers

Answer:

tip would be $3.50

Step-by-step explanation:

10% + 5% = 15%

10% of 23.25 is 2.33

5% of 2.33 is 1.17

add 2.33 and 1.17 to get 3.50

Answer:

I would do the question like

10% + 5% = 15% which would equal 3.50

Hope this helped (please mark brainliest)

Find the slope between the points: (3,4) and (-1,-2)

Answers

Answer:

3/2 hope this helps hqhahjajja

A cookie recipe uses
cup of sugar for 2 dozen cookies. How many cookies can be made with 1 cup of sugar?
O A. 36
OB. 12
O C. 48
D. 24
PLSSS HURRY

Answers

D 21 a dozen is twelve so 2 dozens to a cup would be 21

1. Solve 6(x - 2) = 2(x + 12).

Answers

Answer:ok so. X= 9.

Step-by-step explanation: Step by Step Solution

More Icon

Reformatting the input :

Changes made to your input should not affect the solution:

(1): Dot was discarded near ").".

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

6*(x-2)-(2*(x+12))=0

Step by step solution :

STEP

1

:

Equation at the end of step 1

(6 • (x - 2)) - 2 • (x + 12) = 0

STEP

2

:

Equation at the end of step 2

6 • (x - 2) - 2 • (x + 12) = 0

STEP

3

:

STEP

4

:

Pulling out like terms

4.1 Pull out like factors :

4x - 36 = 4 • (x - 9)

Equation at the end of step

4

:

4 • (x - 9) = 0

STEP

5

:

Equations which are never true:

5.1 Solve : 4 = 0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation:

5.2 Solve : x-9 = 0

Add 9 to both sides of the equation :

x = 9

One solution was found :

x = 9

here you go

Answer:

6x-12=2x+24

combine like terms

4x-12=24

add 12 on both sides

4x=36

divide by 4

answer is:x=9

Step-by-step explanation:

HELP PLEASEEE. Write in slope intercept form
5x - 3y = -9
a. y = 5/3x - 3
b. y = 3/5x + 3
c. y = 5/3x + 9
d. y = 5/3x +3

Answers

Answer:

d

Step-by-step explanation:

i think it D im not tooo sure

The product of a number b and -1.6 is less than -9.6.

Answers

Answer:

I don't have Idea

Which inequality represents the situation ten less than a number is a minimum of 30?

Answers

Answer:

x - 10 ≥ 30

Step-by-step explanation:

I'm 99.8% sure

It says 10 less than a number so that means subtract 10 from a number

Then it says minimum of 30 so that means the number has to be 30 or more so that's why I use the more than of equal to sign.

Hope this helps!

Choose yes or no to tell if the number 10 to the third power will make each equation true

Answers

Do you have a picture of a graph or can you take a picture of your screen so I can help you

Answer:

I need to see the equation to solve it.

Step-by-step explanation:

Please help me I need the answer for this question. correct one please

Answers

the total angle = 180 degree

thus ,

x + 50 degree + 55 degree = 180 degree

x = 75 degree
Yea that’s right x=75 degrees

which expression has the same value as -3 + (-5)

A: -3 - (-5)
B: - 3 + 5
C: -5 + (-3)
D: -5 - (-3)

Answers

Answer:

its b

Step-by-step explanation:

if negative 5 is an absolute value it becomes just a regular 5. Therefore it would be equivalent to -3+5. (sorry if I'm wrong)

A jar has twenty-three coins consisting of dimes and nickels. The total amount of money is $1.90. How many dimes and nickels are there?

Answers

Answer:

8 nickels=.40

15 dimes=1.50

The number of dimes is 15 and the number of nickels is 8.

What is the solution to the equation?

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

A container has 23 coins comprising dimes and nickels. The aggregate sum of cash is $1.90.

Let d be the number of dimes and n be the number of nickels. Then the equation is given as,

d + n = 23                           ...1

0.1d + 0.05n = 1.90            ...2

From equations 1 and 2, then we have

0.1(23 - n) + 0.05n = 1.90

2.3 - 0.1n + 0.05n = 1.9

0.05n = 0.4

n = 8

Then the number of dimes is given as,

d + 8 = 23

d = 23 - 8

d = 15

The number of dimes is 15 and the number of nickels is 8.

More about the solution of the equation link is given below.

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The table shows the distance Shannon ran over a week.
Day
Tuesday
Length {km)
5
2
6
Wednesday
1911 DO NOT
Friday
Saturday
How many more kilometers did Shannon run on Friday than on Saturday?
kilometer

PLEASE HELP

Answers

Answer:

Shannon run 1.5 km more on Friday than on Saturday.

Step-by-step explanation:

From the given table

Distance run on Friday = 4/2 = 2 kmDistance run on Saturday = 1/2 = 0.5 km

In order to run how many more kilometers Shannon run on Friday than on Saturday, we need to subtract the distance run on Saturday from the distance run on Friday.

i.e.

Friday run - Saturday run =  2 - 0.5

                                          = 1.5 km

Thus, Shannon run 1.5 km more on Friday than on Saturday.

Given the table, what is the linear equation?



x y

1 7

2 10

3 13

4 16

Answers

Answer:

yes

Step-by-step explanation:

X + 3y

I think this is true. I haven’t done this in a few years.

HELPP ASAPPPPP

Evaluate ym if y=5 and m=4

Answers

Answer:

20

Step-by-step explanation:

ym

If y=5 and m= 4, then plug in both values and multiply 5 x 4. This equals to 20.

The answer is 20 tttttttttt

PLZZ HELPP IM FAILLING THIS CLASS

Answers

Answer:

cups

0.14 and 0.098

plates

0.1375 and 0.144

silverware

0.047 and 0.129

Total:

30.25

Step-by-step explanation:

5.60/40 and 4.90/50

40 count and 50 count

cups

0.14 and 0.098

2.75/20 and 3.60/25

plates

0.1375 and 0.144

9.85/210 and 12.90/100

silverware

0.047 and 0.129

Total:

(5.60+4.90)*(0.85)+(2.75+3.60)*(0.85)+(9.85+12.90)*(0.70)

=30.2475

round

30.25

Answer:

The answer to your question is 30.25

Step-by-step explanation:

Hope I helped! Sorry if not. Have a wonderful day and an even better Christmas break! Happy Holidays! Remember to focus on the positive and follow me please! Thanks, Bye! ;D

1. Calculate the value of x in the following diagram. 53 - Y IN Q 5x 18​

Answers

Answer:

x = 7

Step-by-step explanation:

QY = 5x

YZ = 18

QZ = 53

Thus:

QY + YZ = QZ (segment addition postulate)

5x + 18 = 53

5x = 53 - 18 (subtraction property of equality)

5x = 35

Divide both sides by 5

x = 7

On a spinner, there are 10 equal spots, numbered 1-10. What is the probability of spinning a 5 and then spinning a 5 again?

Answers

Answer:

1 out of ten

Step-by-step explanation:

so if there are ten sides and all are numbered 1-10 then 5 is only one tenth.

Please help! I am so bad at math!

Answers

Answer:

PR=12

Step-by-step explanation:

2x+6=3x-6

6=x-6

12=x

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