<h3>
Answer: 15x^(7/3) - 8x^(7/4) + x + 9000</h3>
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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.
Answer:
Step-by-step explanation:
34
Answer: 24.24 miles
Step-by-step explanation:
We should note that 1000 metres = 1 kilometer.
Imelda rode her bicycle 39 kilometers which will be converted to meters a:
= 39 × 1000
= 39000 meters
Since 1 meter = 1.094 yards
39000 meters = 39000 × 1.094 = 42666 yards
To find find the distance Imelda rode her bicycle to the nearest mile goes thus:
1 mi = 1760 yd
42666 yards will be converted to miles. This will be: 42666/1760 = 24.24 miles
Answer:
D
Step-by-step explanation:
If x is not equal to zero, then 1/x can be equal to x.
So which is k * 1/x if x =1?
D, because x is the same as 1x, which is equivalent to 1/1 (x).
I may be wrong though please look at other answers and if you have questions then comment
Answer:
$75.08
Step-by-step explanation:
x over 57.75 = 30 over 100
57.75 * 30
1732.5 / 100
17.325
57.75 + 17.325
75.075
Simplify = $75.08
