<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.


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

to this

which is the final answer.
16
.......................
Answer:
m<1 = 118
Step-by-step explanation:
The remote angles theorem states that when one extends one of the sides of a triangle, the sum of the two non-adjacent angles is equal to the measure of the angle between the extension of the side and a side of a triangle. One can apply this theorem here by stating that
(28) + (90) = m<1
Remember, a box around an angle signifies that its measure is (90) degrees.
Solve this problem by performing the operation,
118 = m<1
Answer:
= 11.4%
Step-by-step explanation:
Percent error = (target - actual)/target * 100
target = 2500
actual = 2215
Lets substitute in
Percent error = (2500-2215)/2500 * 100
= 285/2500*100
=.114 * 100
= 11.4%
Answer:
y=120
Step-by-step explanation:
Y varies directly as x is written as

introducing a constant
y=kx
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<em>sub</em><em>stitute</em><em> </em><em>it</em><em> </em><em>in</em><em> </em><em>the</em><em> </em><em>form</em><em>ula</em>
<em>4</em><em>8</em><em>=</em><em>6</em><em>k</em>
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<em>
</em>
k=48/6
k=8
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from the question,the value of y when x=15 is given by
y=8×15
y=120.