<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.
For this one, we need to make an equation to make it look easier
(0.10 × m) + 500 = 1280
We solve for m
Subtract 500 from both sides and we get
0.10 × m = 780
Now, divide both sides by 0.10
And m would be equal to 7800
Let's see if this is correct.
Five hundred dollars more than 10% of m
We found that 10% of m is 780, now we add 500 to make the statement true. It will give us a total of 1280, which is equal of what the question says.
I hope this helps.
YOU'RE WELCOME :D
*brainliest*
Answer: x = 9
Step-by-step explanation:
15 / 20 = (2x + 3) / 28
cross multiply
15(28) = 20(2x + 3)
420 = 40x + 60
360 = 40x
x = 9
If you add up all of the money he made and divide it by the amount he made via tips, you will see that the percent tip he received was 16%
Answer:
x = 5/3
Step-by-step explanation:
You ALWAYS want your term to be by itself!! So what you need to do is move your constant away from it.
Step 1: Adjust as needed, subtract 10 from both sides of your equation. It should end up like this.
-3x = 5 - 10
Step 2: Solve as needed before continuing equation.
-3x = -5
Step 3: Now you need to get your term by itself. You should divide -3 on both sides of your equation so you should get something like this.
x = -5 / -3
Step 4: You're basically done now! Just simplify! NEGATIVES CROSS EACH OTHER OUT!!!
x = 5/3 OR 1.6
<em>KEY:</em>
<em>Negative and Negative = Positive</em>
<em>Negative and Positive = Negative</em>
<em>Positive and Positive = Positive</em>
