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ololo11 [35]
2 years ago
10

If 35% of a number is 21 and 90% of the same number is 54, find 55% of that number.

Mathematics
1 answer:
inn [45]2 years ago
4 0

Answer:

Step-by-step explanation:

The number is 60:

Divide the amount and decimal of the percentage to be extracted

Case 1

\frac{21}{0.35} =60

Case 2

\frac{54}{0.9} =60

Now the 55% of this number is:

60(0.55)=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.

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2 years ago
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Step-by-step explanation:

V = 4/3 × 22/7 × 3³

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3 years ago
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Answer:

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Step-by-step explanation:

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What are the roots of the following polynomial equation? x^3 + 72= 5x^2 + 18x (write from least to greatest)
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Answer:

2:3

Step-by-step explanation:

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2 years ago
3+7+11+15+19+23+27<br>1.t1=<br>s1=<br>express t1 in terms of s1​
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So it would be 3s + 7s + 11s + 15s + 19s + 23s + 27s. Hope this helps
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