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vovangra [49]
2 years ago
10

Proportions happen because two events or scenarios are ___

Mathematics
1 answer:
Anni [7]2 years ago
6 0
<span>Proportions happen because two events or scenarios are related or associated with one another </span>
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A bakery finds that the price they can sell cakes is given by the function p = 580 − 10x where x is the number of cakes sold per
dexar [7]

Answer:

The total revenue is TR=580x-10x^2.

The marginal revenue is MR=580-20x.

The fixed cost is $900.

The marginal cost function is MC=50x+300.

Step-by-step explanation:

The Total Revenue (TR) received from the sale of x goods at price p is given by

                                                         TR=p\cdot x

The Marginal Revenue (MR) is the derivative of total revenue with respect to demand and is given by

                                                       MR=\frac{d(TR)}{dx}

From the information given we know that the price they can sell cakes is given by the function p=580-10x, where x is the number of cakes sold per day.

So, the total revenue is

TR=(580-10x)\cdot x\\TR=580x-10x^2

And the marginal revenue is

MR=\frac{d}{dx}(580x-10x^2) \\\\\mathrm{Apply\:the\:Sum/Difference\:Rule}:\quad \left(f\pm g\right)'=f\:'\pm g'\\\\MR=\frac{d}{dx}\left(580x\right)-\frac{d}{dx}\left(10x^2\right)\\\\MR=580-20x

The Fixed Cost (FC) is the amount of money you have to spend regardless of how many items you produce.

The Marginal Cost (MC) function is the derivative of the cost function and is given by

                                                   MC=\frac{d(TC)}{dx}

We know that the total cost function of the company is given by C=(30+5x)^2, which it is equal to

\mathrm{Apply\:Perfect\:Square\:Formula}:\quad \left(a+b\right)^2=a^2+2ab+b^2\\a=30,\:\:b=5x\\\\\left(30+5x\right)^2=30^2+2\cdot \:30\cdot \:5x+\left(5x\right)^2=25x^2+300x+900\\\\C=25x^2+300x+900

From the total cost function and applying the definition of fixed cost, the fixed cost is $900.

And the marginal cost function is

MC=\frac{d}{\:dx}\left(25x^2+300x+900\right)\\\\MC=\frac{d}{dx}\left(25x^2\right)+\frac{d}{dx}\left(300x\right)+\frac{d}{dx}\left(900\right)\\\\MC=50x+300+0=50x+300

4 0
3 years ago
X - y = 6
Dominik [7]

the system has no solution.

Option C is correct.

Step-by-step explanation:

We need to solve the system of equations by substitution

x - y = 6\,\,\,eq(1)\\x = y + 2\,\,\,eq(2)

Putting value of x from eq(2) into eq(1)

(y+2)-y=6\\y+2-y=6\\0+2=6\\0=6-2\\0\neq4

As as 0≠4is not true, we cannot find the value of y so the system has no solution.

Option C is correct.

Keywords: System of equations

Learn more about system of equations at:

  • brainly.com/question/7490805
  • brainly.com/question/9045597
  • brainly.com/question/13168205

#learnwithBrainly

4 0
3 years ago
If 6 is subtracted from a number the result<br> is 39.
Paha777 [63]

Answer:

45

Step-by-step explanation:

To find the number you just add 6 to 39 which gets you 45.

5 0
2 years ago
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the half-life of radium-226 is about 1,590 years. How much of a 100mg sample will be left in 500 years
Vedmedyk [2.9K]

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I know the best answer ever (*says sarcastically*)

6 0
2 years ago
Brandon mows his lawn once every 4 days. Thomas mows his lawn once every 3 days. Celena mows her lawn once every 6 days. If they
lakkis [162]

Answer: The Answer is 12

Step-by-step explanation: This is because each number's LCM (Least Common Multiple) is 12.  Ex. 4,8,12  3,6,9,12   6,12

7 0
3 years ago
Read 2 more answers
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