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ryzh [129]
1 year ago
9

The manufacturer of an energy drink spends $1.20 to make each drink and sells them for two dollars the manufacturer also has fix

ed cost each month of $8000 find the revenue function when X energy drinks are sold
Mathematics
1 answer:
dimulka [17.4K]1 year ago
6 0

Let X be the number of energy drinks sold.

The manufacturer of an energy drink spends $1.20 to make each drink and sells them for two dollars the manufacturer also has fixed cost each month of $8000.

The manufacturing cost for X energy drinks is

1.20x

Fixed cost is $8000.

Therefore, cost function is

C(x)=1.20x+8000

Selling price of each drink is $2.

Therefore, the revenue function is

R(x)=2x

Hence, the revenue function is

R(x)=2x

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Find the 91st term of the arithmetic sequence 28, 8, –12, ...<br><br> Anybody know the answer?
tankabanditka [31]

Answer:

-1772

Step-by-step explanation:

The nth term of an arithmetic sequence is expressed as;

Tn = a+(n-1)d

a is the first term

n is the number of terms

d is the common difference

From the sequence

a = 28

d = 8-28 = -12-8 = -20

n =91(since we are looking for the 91st term)

Substrate

T91 = 28+(91-1)(-20)

T91 = 28+90(-20)

T91 = 28-1800

T91 = -1772

Hence the 91st term is -1772

6 0
3 years ago
I need to solve this system of equations, how do I do that?<br> 3x-4y=20<br> y=3/4x-5
Paha777 [63]

Answer:

Is is Infinitely many solutions so 0=0

<em><u>Step-by-step explanation:</u></em>

<h3>First we have to rearrange/simplify the equations:</h3>

Equation 1: 4y - 3x = -20

Equation (2):  y - 3x/4  = -5

<h3>Then you remove the fractions by multiplication: </h3>

Multiply equation (2) by 4

<h3>The Equations now look like this: </h3>

Equation 1: 4y - 3x = -20

Equation (2): 4y - 3x = -20

<h3>Solve for y on Equation (2):</h3>

y = <u><em>3x/4 - 5</em></u>

<h3>Then plug in this for the y in Equation 1 and then solve:</h3>

4•(<u><em>3x/4-5</em></u>) - 3x = -20

Therefore the answer leads to:

Infinitely many solutions, 0=0

Hope this helped :')

4 0
3 years ago
Which number would divide the numerator and the denominator of the first fraction to yield the second fraction? 14 18 ÷ ? ? = 7
Paha777 [63]

Step-by-step explanation:

14÷2=7

18÷2=9

for the first equation

14/y=7

cross multiply will be

7y=14

divide both sides by the co efficient of y which is 7

y=14÷2

y=2

same step for the second equation

6 0
2 years ago
Solve for x.<br> - 30 – 5x - 1) + 7 = - 110
ololo11 [35]

Answer:

x =  \frac{86}{5}   = 17 \frac{1}{5}  = 17.2

Step-by-step explanation:

( - 30 - 5x - 1) + 7 =  - 110

( - 31 - 5x) + 7 =  - 110

- 31 - 5x + 7 =  - 110

- 24 - 5x =  - 110

- 5x =  - 110 + 24

- 5x =  - 86

\boxed{\green{x =  \frac{86}{5}   = 17 \frac{1}{5}  = 17.2}}

5 0
2 years ago
What value will make the equation true -21-?=1.5
AfilCa [17]

Answer: ? = -22.5

Step-by-step explanation:

Using a negative number to replace the ? turns the minus into a plus sign.

-21 - (-22.5) = 1.5 is the same as -21 + 22.5 = 1.5

6 0
3 years ago
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