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gayaneshka [121]
2 years ago
11

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 = -9x^2 + 700x - 6005
Mathematics
1 answer:
7nadin3 [17]2 years ago
7 0

Answer:

Widgets should be sold by $38.88 to maximize the profit.

Step-by-step explanation:

Vertex of a quadratic function:

Suppose we have a quadratic function in the following format:

f(x) = ax^{2} + bx + c

It's vertex is the point (x_{v}, y_{v})

In which

x_{v} = -\frac{b}{2a}

y_{v} = -\frac{\Delta}{4a}

Where

\Delta = b^2-4ac

If a<0, the vertex is a maximum point, that is, the maximum value happens at x_{v}, and it's value is y_{v}.

In this question:

The profit is given by:

y = -9x^2 + 700x - 6005

Which is a quadratic function with a = -9, b = 700, c = -6005

The maximum profit happens at the x of the vertex. Thus

x_{v} = -\frac{b}{2a} = -\frac{700}{2(-9)} = 38.88

Widgets should be sold by $38.88 to maximize the profit.

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Nady [450]

There are a couple of different approaches you can use for this. Here's one.

1. Determine how many digits repeat. (There is just one repeating digit.)

2. Call your number x. Multiply x by 10 to the power of the number of digits found in step 1.

x = 0.8\overline{3}\\10^{1}x=8.3\overline{3}

3. Subtract the original number, then solve for x.

10x-x=9x=8.3\overline{3}-0.8\overline{3}=7.5\\\\x=\dfrac{7.5}{9}=\dfrac{5}{6}

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If you recognize that 0.333... (repeating) is 1/3, then you know that 0.0333... (repeating) is 1/10×1/3 = 1/30. Add that to 0.8 = 4/5 and you get

... 4/5 + 1/30 = 24/30 + 1/30 = 25/30 = 5/6

7 0
3 years ago
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Alicia drew a map of Texas. In the scale Alicia used for the map, .50 inch represents 20 miles. What is the distance between two
kramer

Answer:

An actual distance of 360 miles correspond to 9 inches on the map

Step-by-step explanation:

From the question, we have a scale of 0.5 inches representing 20 miles

Now, we want to relate an actual distance of 360 miles to a measurement on the map using the scale

From here, we have that;

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6 0
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Please help asap! 
Furkat [3]

8 - 2/x the x is the denominator


6 0
3 years ago
Thee questionn is beloww
Phantasy [73]

Given:

m\angle ABC=60

To find:

The m\angle ADC.

Solution:

In circle B, \angle ABC is central angle and \angle ADC is inscribed angle from two points A and C.

According to central angle theorem, central angle is always twice of inscribed angle.

m\angle ABC=2(m\angle ADC)         [Central angle theorem]

60=2(m\angle ADC)

Divide both sides by 2.

\dfrac{60}{2}=m\angle ADC

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Answer:

21/F=M

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