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dedylja [7]
1 year ago
13

The price of mp3 player is decreased from $360 to $240. find the percentage decrease in its price

Mathematics
1 answer:
Harman [31]1 year ago
8 0
The answer to the question is 33%. Hope this helps!
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Can someone help please
myrzilka [38]
<h3>Answer:   15x^(7/3) - 8x^(7/4) + x + 9000</h3>

=========================================================

Explanation:

If you know the cost function C(x), to find the marginal cost, we apply the derivative.

Marginal cost = derivative of cost function

Marginal cost = C ' (x)

Since we're given the marginal cost, we'll apply the antiderivative (aka integral) to figure out what C(x) is. This reverses the process described above.

\text{Cost} = \text{antiderivative of marginal cost}\\\\\displaystyle C(x) = \int \left(35x^{4/3} - 14x^{3/4} + 1\right)dx\\\\

C(x) = \frac{1}{1+4/3}*35x^{4/3+1} - \frac{1}{1+3/4}*14x^{3/4+1} + x + D\\\\C(x) = \frac{1}{7/3}*35x^{7/3} - \frac{1}{7/4}*14x^{7/4} + x + D\\\\C(x) = \frac{3}{7}*35x^{7/3} - \frac{4}{7}*14x^{7/4} + x + D\\\\C(x) = 15x^{7/3} - 8x^{7/4} + x + D\\\\

D represents a fixed constant. I would have used C as the constant of integration, but it's already taken by the cost function C(x).

To determine the value of D, we plug in x = 0 and C(x) = 9000. This is because we're told the fixed costs are $9000. This means that when x = 0 units are made, you still have $9000 in costs to pay. This is the initial value. You'll find that all of this leads to D = 9000 because everything else zeros out.

Therefore, we go from this

C(x) = 15x^{7/3} - 8x^{7/4} + x + D\\\\

to this

C(x) = 15x^{7/3} - 8x^{7/4} + x + 9000\\\\

which is the final answer.

3 0
2 years ago
Half a foot by a quarter of a foot by 3/4 of a foot fraction
JulsSmile [24]

Step-by-step explanation:

x×1/2×1/4×3/4

x×3/32

3/32x

5 0
2 years ago
Helpppppppppppppppppp
kakasveta [241]

Answer:

Help with what?

Step-by-step explanation:

I would be happy to answer but you need to attach a question.

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2 years ago
Length of 8 in, width of 4 in, height of 2 1/4 in,
Step2247 [10]

Answer:

72

Step-by-step explanation:

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3 years ago
PLS HELP!
ale4655 [162]

Answer:

p is a missing part okay

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