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valina [46]
2 years ago
9

A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the

given equation. Using this equation, find out what price the widgets should be sold for, to the nearest cent, for the company to make the maximum profit.
y = -x^2 + 99x - 932
Mathematics
1 answer:
Allushta [10]2 years ago
6 0

Answer:

$49.5

Step-by-step explanation:

y = -x^2 + 99x - 932

The maximum point is :

dy/dx = 0

Take the first derivative of y

dy/dx = - 2x + 99

Put - 2x + 99 = 0

-2x = - 99

x = 99 / 2

x = 49.5

Hence, To make maximum profit, widget should be sold at $49.5 per widget.

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Answer:

The numbers should be A. 5 and C. 0.

Hope I Helped

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2 years ago
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Tom sells baseball cards at 10 for 35 cents. Is that a better deal than 12 for 40 cents?
AVprozaik [17]
For either one of the deals, just find what one card equals and times it by how many cards the other equation has.

e.g. 0.35 cents divide by 10 = 0.035. And now, you times it by 12 since the other deal is 12 cards for 40 cents.

0.035 x 12 = 0.48

So, 10 cards for 35 cents is not the better deal.
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3 years ago
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A bag contains 10 counters. 6 of them are white. a counter is taken at random and not replaced. A second counter is taken out of
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Answer: 8/15

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2 years ago
A ladder that is 13 meters long is leaning against a wall. The distance between the foot of the ladder and the wall is 7 meters
Maksim231197 [3]
<h2>Answer:</h2>

The equation that is used to model the length of ladder in terms of x is:

                   x^2-7x-60=0

<h2>Step-by-step explanation:</h2>

We can model this problem with the help of a right angled triangle whose hypotenuse is 13 meters and the other two legs are x meters and (x-7) meters.

where x is the distance between the top of the ladder and the ground.

and (x-7) is the distance between the foot of the ladder and the wall.

Hence, using Pythagorean Theorem we have:

13^2=x^2+(x-7)^2\\\\i.e.\\\\169=x^2+x^2+49-14x\\\\i.e.\\\\169=2x^2-14x+49\\\\i.e.\\\\2x^2-14x+49-169=0\\\\i.e.\\\\2x^2-14x-120=0\\\\i.e.\\\\x^2-7x-60=0

                 Hence, the answer is:

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7 0
3 years ago
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If f ( x ) = 2x + 2 and g ( 1 ) = 3x – 1, find (f/g) (2)
schepotkina [342]

Answer:

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Step-by-step explanation:

<u>Given functions:</u>

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<u>To find:</u>

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<u>Solution</u>

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