<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:
Hey! Ok so the answer is 6.
Step-by-step explanation:
If 1 pack has 8 bracelets in each and she has 48 in total then you would have to divide the total to the number of bracelets in each pack so therefore 48 divided by 8 which is 6
Hoped this helped! Have an amazing day! Im Eve btw. also consider marking this brainliest thank you so much if you do!✨
Answer:
8 quarters
12 nickels
12 pennies
16 dimes
Step-by-step explanation:
The trick is to ASSUME the dimes.
Start by thinking about the three explicit premises and the one implicit premise.
1) Quarters = 1/6 of total coins
2) Nickels = 1.5 the number of quarters
3) Pennies = 1/4 of total coins
Also, ASSUME an unknown number of dimes to fill in the gap.
48 Total Coins = $4.32
⅙ of 48 = 8 8 quarters = $2.00
1.5 x 8 = 12 12 nickels = $0.60
¼ of 48 = 12 12 pennies = $0.12
Add those coins = $2.72
Take the known total and minus this sum.
$4.32 - $2.72 = $1.60
16 dimes = $1.60
Thus, you have the following:
8 quarters (⅙ of total coins) $2.00
12 nickels (1.5 the number of quarters) $0.60
12 pennies (¼ the number of total coins) $0.12
+ 16 dimes $1.60
Total Coins 48 $4.32
