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77julia77 [94]
3 years ago
12

What’s the original volume

Mathematics
1 answer:
anzhelika [568]3 years ago
7 0

Answer:

V = 1959.75ft²

Step-by-step explanation:

The volume is equal to the height of the barrel times (π × r²)

V = h(πr²)

V = 10.8(π × 7.6²)

= 10.8(π × 57.76)

= 10.8(181.46)

V = 1959.75ft²

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NetSell, a the TV remote control supplier for Lumyn Electronics, has a weekly production cost of q TV remote controls that is gi
natali 33 [55]

Answer:

a.  \frac{dC(q)}{dq} = 0.000012q^2 -0.06q + 100

b. \frac{dR(q)}{dq}=-0.01q+200

c.

U'(2000)=-0.000012(2000)^2+0.05(2000)+100 = 152

U'(7000)=-0.000012(7000)^2+0.05(7000)+100 = -138

 

Step-by-step explanation:

a) The marginal cost function is given by the derivative of the total cost function, in this way the marginal cost function for this company is:

\frac{dC(q)}{dq} = \frac{dC(q)}{dq} (0.000004q^ 3 - 0.03q ^ 2 + 100q + 75000) = 0.000012q^2 -0.06q + 100

b) The income function is given by the relation R (q) = P (q) q = -0.005q^2 + 200q.

The marginal revenue function for the company is given by the derivative of the revenue function, in this way the marginal revenue function is:

\frac{dR(q)}{dq}= -0.01q+200

 

(c) The profit function of the company is given by the relation U (q) = R (q) - C (q), and the marginal utility function is given by the derivative of the utility function, in this way , the marginal utility function is:

\dfrac{dU(q)}{dq}=R'(q) - C'(q) = -0.01q+200 - (0.000012q^2-0.06q+100) = -0.000012q^2+0.05q+100

When q = 2000, the marginal utility is:

U'(2000)=-0.000012(2000)^2+0.05(2000)+100 = 152

When q = 7000, the marginal utility is:

U'(7000)=-0.000012(7000)^2+0.05(7000)+100 = -138

6 0
3 years ago
Can Someone Help. ?
Elanso [62]

Answer:

6

Step-by-step explanation:

I think its 6 times greater because the length was tripled and the width was doubled thus : 3 * 2 = 6

HOPE THIS HELPED

8 0
2 years ago
If you borrowed $3,500 to buy a new car at 3% interest and paid it back in 4 years. How much would you pay in interest?
tankabanditka [31]

Answer:

$420

Step-by-step explanation:

Calculate 3% of 3,500:

0.03*3500 = 105

105 per year for 4 years:

105*4 = 420

7 0
2 years ago
Which figure represents the image of parallelogram LMNP
Naya [18.7K]

Answer:

the answer is figure C

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
On babylonian tablet ybc 4652, a problem is given that translates to this equation: x (x/7) (1/11) (x (x/7)) = 60 what is the so
Yanka [14]
Thanks for posting your question here. The answer to the above problem is x = <span>48.125. Below is the solution:
</span>
 x+x/7+1/11(x+x/7)=60 
x = x/1 = x • 7/7
x <span>• 7 + x/ 7 = 8x/7 - 60 = 0
</span>x + x/7 + 1/11 <span>• 8x/7 - 60 = 0
</span>8x <span>• 11 + 8x/ 77 = 96x/ 77
</span>96x - 4620 = 12 <span>• (8x-385)
</span>8x - 385 = 0
x = 48.125


5 0
3 years ago
Read 2 more answers
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