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liubo4ka [24]
3 years ago
13

It took Everly 55 minutes to run a 10-kilometer race last weekend if you know that 1 kilometer equals 0.621 mile how many minute

s did it take Everly to run 1 mild during the race round your answer to the nearest hundredth (A) 3.41 minutes (B) 5.50 minutes (C) 6.21 minutes (D) 8.86
Mathematics
1 answer:
ikadub [295]3 years ago
3 0
55 min/10 km=5.5 min/km

5.5 min/km x 1 km/.621 mile= 5.5/.621=8.86 min/mile

The answer is D.
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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
What is the equation of the exponential graph shown?
natta225 [31]

Answer:

100(0.5)^{x}

Step-by-step explanation:

According to the graph, the y int is at 100

so that is the starting point

Then at 1 it is at 50

\frac{100}{50} is 2 so that means it is reduced by half

Just to make sure, \frac{50}{25} is also /2 so that means it is the slope

Since it is a decay, the slope has to be less than one so you get the reciprecol of 2 to get....

\frac{1}{2}

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3 years ago
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