If the cost, C(x), for manufacturing x units of a certain product is given by
C(x) = x2 – 15x + 34
find the number of units manufactured at a cost of $8350.

Answers

Answer 1

Answer:

99 units.

Step-by-step explanation:

The cost function for manufacturing x units of a certain product is:

[tex]C(x)=x^2-15x+34[/tex]

We want to find the number of units manufactured at a cost of $8350. Therefore:

[tex]8350=x^2-15x+34[/tex]

Subtract 8350 from both sides:

[tex]x^2-15x-8316=0[/tex]

This equation can be a bit difficult to factor, if even possible, so we can use the quadratic formula:

[tex]\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

In this case, a = 1, b = -15, and c = -8316. Thus:

[tex]\displaystyle x=\frac{-(-15)\pm\sqrt{(-15)^2-4(1)(-8316)}}{2(1)}[/tex]

Simplify:

[tex]\displaystyle x=\frac{15\pm\sqrt{33489}}{2}[/tex]

Evaluate:

[tex]\displaystyle x=\frac{15\pm183}{2}[/tex]

Therefore, our solutions are:

[tex]\displaystyle x=\frac{15+183}{2}=99\text{ and } x=\frac{15-183}{2}=-84[/tex]

We cannot produce negative items, so we can ignore the second answer.

Therefore, for a cost of $8350, 99 items are being produced.


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The average weekly salary of two employees is $5250. One makes $500 more than the other. Find their salaries.

Answers

Answer: thier salaries are $5000 and $5500

Step-by-step explanation:

Let the average weekly salary of one employee be =x

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

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have a great day!

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Answers

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Step-by-step explanation:

Answer:

24

Step-by-step explanation:

For the least common denominator, we have to find the smallest number that all fo them multiply to.

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Answers

Answer:

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Answer:

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Answers

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__ __
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3

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, divide each segment by  2

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Answers

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Answers

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5
Type the correct answer in each box.
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Х
50°
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o, and the value of yis

Answers

Answer:

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Answers

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<TUX and <YXU

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:))))))))))

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Answers

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Olivia will deposit $1,530 in an account that earns 6% simple interest every year. Her sister
Melinda will deposit $1,500 in an account that earns 8% interest compounded annually. The
deposits will be made on the same day, and no additional money will be deposited or
withdrawn from the accounts. Which statement about the balances of Olivia's account and
Melinda's account at the end of 3 years is true?
A Olivia's account will have about $5.40 more than Melinda's account.
B Olivia's account will have about $84.17 more than Melinda's account.
C Melinda's account will have about $5.40 more than Olivia's account.
D Melinda's account will have about $84.17 more than Olivia's account.

Answers

D. Melinda's account will have about $84.17 more than Olivia's account.

Answer:

Olivia  275.4 and Melinda 360

Step-by-step explanation:

Olivia 1,530 x .06 = 91.8

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Melinda 1,500 x .08 = 120

120 x 3 = 360

plz mark brainleist

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