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Marina CMI [18]
3 years ago
9

Find the value of x.

Mathematics
1 answer:
postnew [5]3 years ago
5 0

Answer:

x = 113

Step-by-step explanation:

Since the shape is a quadrilateral, the angles add up to 360 so:

x + 87 + 113 + 47 = 360

x + 247 = 360

x = 360 - 247

x = 113

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Answer:

23n +13

Step-by-step explanation:

5(5n+2)+(3-2n)

Distribute

25n + 10 +3 -2n

Combine like terms

25n -2n  + 10+3

23n +13

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True or False: A discrete relation is a relation with an infinite set of values in the domain.
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Step-by-step explanation:

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QUESTION 3 [10 MARKS] A bakery finds that the price they can sell cakes is given by the function p = 580 − 10x where x is the nu
Harman [31]

Answer:

(a)Revenue function, R(x)=580x-x^2

Marginal Revenue function, R'(x)=580-2x

(b)Fixed cost =900 .

Marginal Cost Function=300+50x

(c)Profit,P(x)=-35x^2+280x-900

(d)x=4

Step-by-step explanation:

<u>Part A </u>

Price Function= 580 - 10x

The revenue function

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

The marginal revenue function

\dfrac{dR}{dx}= \dfrac{d}{dx}(R(x))=\dfrac{d}{dx}(580x-x^2)=580-2x\\R'(x)=580-2x

<u>Part B </u>

<u>(Fixed Cost)</u>

The total cost function of the company is given by c=(30+5x)^2

We expand the expression

(30+5x)^2=(30+5x)(30+5x)=900+300x+25x^2

Therefore, the fixed cost is 900 .

<u> Marginal Cost Function</u>

If  c=900+300x+25x^2

Marginal Cost Function, \frac{dc}{dx}= (900+300x+25x^2)'=300+50x

<u>Part C </u>

<u>Profit Function </u>

Profit=Revenue -Total cost

580x-10x^2-(900+300x+25x^2)\\580x-10x^2-900-300x-25x^2\\$Profit,P(x)=-35x^2+280x-900

<u> Part D </u>

To maximize profit, we find the derivative of the profit function, equate it to zero and solve for x.

P(x)=-35x^2+280x-900\\P'(x)=-70x+280\\-70x+280=0\\-70x=-280\\$Divide both sides by -70\\x=4

The number of cakes that maximizes profit is 4.

6 0
3 years ago
Pls help with qn 13!!!!
balandron [24]
4243.6-4000=243.6/4000= 0.06

Interest rate 0.06%
4 0
3 years ago
Can someone answer it please I really need help please I need it right now I was so frustrating please help and please show work
Eduardwww [97]

Answer:

  2 1/4 yards above sea level

Step-by-step explanation:

The midpoint elevation is the average of the endpoint elevations, their sum divided by 2. When elevation is below sea level, it is represented by a negative number.

  (17 3/4 - 13 1/4)/2 = (4 2/4)/2 = 2 1/4 . . . yards above sea level

8 0
3 years ago
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