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2 years ago

The owner of a small store buys coats for $55.00 each. Answer parts a and b.

Mathematics

1 answer:

kenny6666 [7]2 years ago

5 0

The percent of the purchased price to the sale price is 40%.

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How would I do the steps to solve this?

allsm [11]

Answer:

The maximum revenue is 16000 dollars (at p = 40)

Step-by-step explanation:

One way to find the maximum value is derivatives. The first derivative is used to find where the slope of function will be zero.

Given function is:

$R(p) = -10p^2+800p$

Taking derivative wrt p

$\frac{d}{dp} (R(p) = \frac{d}{dp} (-10p^2+800p)\\R'(p) = -10 \frac{d}{dp} (p^2) +800 \ frac{d}{dp}(p)\\R'(p) = -10 (2p) +800(1)\\R'(p) = -20p+800\\$

Now putting R'(p) = 0

$-20p+800 = 0\\-20p = -800\\\frac{-20p}{-20} = \frac{-800}{-20}\\p = 40$

As p is is positive and the second derivative is -20, the function will have maximum value at p = 40

Putting p=40 in function

$R(40) = -10(40)^2 +800(40)\\= -10(1600) + 32000\\=-16000+32000\\=16000$

The maximum revenue is 16000 dollars (at p = 40)

3 0

2 years ago

Please solve this quadratic equation:<br>9^x-1 = 27^X-1

nadezda [96]

Answer:

x=1

Step-by-step explanation:

if it is truly 9^(x-1)=27^(x-1), then you dont really need to use the quadratic fromula.

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3 years ago

I have 15a but I need 15b and 14

Naily [24]

14. For a prism, the volume is given by
.. V = Bh . . . . . . . . where B is the area of the base, and h is the height of the prism

For a pyramid, the volume is given by
.. V = (1/3)*Bh . . . . where B is the area of the base, and h is the height of the pyramid

The volume is proportional to the area of the base. If the dimensions of the base decrease linearly to zero at the height of the geometry as they do for pyramids and cones, then the volume formula includes a factor of 1/3.

15b. The volume of a pyramid is 1/3 that of a prism with the same base area and height.

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3 years ago

The temperature tomorrow will be above 70

attashe74 [19]

Step-by-step explanation:

False

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3 years ago

Tossing coins imagine tossing a fair coin 3 times. (a) what is the sample space for this chance process? (b) what is the assignm

soldier1979 [14.2K]

Answer:

(a) what is the sample space for this chance process?

If we toss a coin three times then there are total $2^{3}=8$ outcomes

The sample space associated with the given chance process is:

$S= \left \{ HHH,HHT,HTH,HTT,THH,THT,TTH,TTT\right \}$

(b) what is the assignment of probabilities to outcomes in this sample space?

Since the given sample space has eight outcomes and we know that a fair coin is tosses three times. Therefore, the probability of all the events mentioned in the given sample space is same. Hence we have:

$Probability = \frac{1}{8}$

3 0

3 years ago

The owner of a small store buys coats for ​$55.00 each. Answer parts a and b.

The owner of a small store buys coats for $55.00 each. Answer parts a and b.