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igor_vitrenko [27]
3 years ago
15

A company sells widgets. The amount of profit, y, made by the company, is related to

Mathematics
1 answer:
Burka [1]3 years ago
7 0

Answer:

$1954

Step-by-step explanation:

Given the profit function expressed as;

y=-3x^2 + 197x – 1279

The profit is at maximum when dy/dx = 0

dy/dx = -6x + 197

0 = -6x+197

6x = 197

x = 197/6

x = 32.83

substitute 32.83 into the modeled function

y=-3x^2 + 197x – 1279

y -3(32.83)²+197(32.83) - 1279

y = -3(1,078.03)+6,467.51 - 1279

y = -3,234.09+6,467.51-1279

y = 1,954.42

hence the maximum amount of profit the company can make, to the nearest dollar is $1954

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Order of numbers from greatest to least using negative 9.7 and -9
PtichkaEL [24]

Answer:

-9, 9.7

Step-by-step explanation:

3 0
2 years ago
socks cost $2 per pair. the cost of n pairs $2n. john says that the cost of 6 pairs is $26 and the cost of 7 pairs is $27. is th
just olya [345]

Answer:

John is incorrect. He did not multiply.

Step-by-step explanation:

If a pair of socks cost $2, then the total cost of the socks if you buy n pairs is $2n. In the expression 2n, the 2 is the dollar amount and the n is the number of pairs.

1 pair is $2.

2 pair are $4.

3 pair are $6.

4 pair are $8.

5 pair are $10.

6 pair are $12.

7 pair are $14.

13 pair are $26.

There is no way to spend $27 on these socks.

25 pair are $50.

Hopefully, you can use logic, your prior knowledge of making purchases of multiple items and also algebra to see you must multiply the number of items you're buying times the cost per item.

6 pair are $12 and 7 pair are $14. John is wrong. He did not multiply.

6 0
2 years ago
Can someone verify her answer please
Kamila [148]

Answer:

Yep, she got it correct.

Step-by-step explanation:

Hope this helped.

7 0
3 years ago
A rain gutter is made from sheets of aluminum that are 22 inches wide by turning up the edges to form right angles. Determine th
Varvara68 [4.7K]
So hmm notice the picture below

thus, the perimeter of the gutter is just w + w + l, or 2w +l

thus \bf 22=2w+l\implies 22-2w=l
\\\\\\
\textit{area of a rectangle}\\\\
A=lw\qquad 22-2w=l\implies A(w)=(22-2w)w
\\\\\\
A(w)=22w-2w^2

take the derivative of A(w), zero it out, check any critical points in the interval of (0, 22), for a maxima

recall, the aluminum sheet is just 22inches long, thus, whatever the "depth" or "w" is, has to be more than 0, and less than 22

4 0
3 years ago
(b) If n(U)= 300, n(M) = 150, n(T) = 144 and n( MT)= 33. Find the value of n(MUT). (ii) Present the above information in a Venn
ICE Princess25 [194]

Answer:

Step-by-step explanation:

n(M ∪ T) = n(M) + n(T) - n(M∩T)

               = 150 + 144 - 33

               = 294 - 33

               = 261

8 0
2 years ago
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