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Arte-miy333 [17]
3 years ago
12

Help me ans should be well explained ​

Mathematics
2 answers:
nikdorinn [45]3 years ago
7 0

Step-by-step explanation:

¡)

The lowest rank of the class is unknown to us.

Let's say, it's x.

highest marks =2 × lowest rank + 7

=> 87 = 2x + 7 (this is the equation we gotta solve)

=> 87 - 7 = 2x

=> 2x = 80

=> x = 40

And x is the lowest rank of the class, so we got the required answer.

\boxed{ \mathfrak{lowest \: rank =  \red{40}}}

¡¡)

it can be 17 since the denominators are in increasing order and 17 only fits in.

I'm looking for any other pattern that can be present here.

zimovet [89]3 years ago
3 0

#1

  • Let the lowest mark be x

ATQ

\\ \sf\longmapsto 2x+7=87

\\ \sf\longmapsto 2x=87-7=80

\\ \sf\longmapsto x=\dfrac{80}{2}

\\ \sf\longmapsto x=40

Option B

#B

  • Observe all numbers in series

If numerator be n then denominator is 2n+1

For example

2nd term is 6/13

Where

  • 2(6)+1=13

Now

in the third term numerator is 8

Denominator:-

\\ \sf\longmapsto 2(8)+1=16+1=17

Option A

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

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Step-by-step explanation:

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

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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.

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

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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

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