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3 years ago

5

An aircraft flies 80km due north. Then it flies 72 due west. Calculate how far the aircraft would have travelled if it had trave

lled directly from its starting point to its destination

2 answers:

brilliants [131]3 years ago

8 0

Answer:

2880 km

Step-by-step explanation:

Digiron [165]3 years ago

5 0

the answer is 2880 km

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What is the reciprocal Consider the expression (5) of the base? Write your answer as a fraction, using the / symbol, like this:

lora16 [44]

Reciprocal of a fraction<h2>Answer</h2>

8/7

<h2>Explanation</h2>

In this case, the base is 7/8 and the exponent is -4.

In order to find the reciprocal of a fraction we just have to flip it upside down:

That is why the answer is 8/7.

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1 year ago

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.

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vovikov84 [41]

Answer:

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Step-by-step explanation:

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3 years ago

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