Answer:
Step-by-step explanation:
Answer:
The radius is increasing at a rate of approximately 0.044 in/s when the diameter is 12 inches.
Because the radius is changing more rapidly when the diameter is 12 inches.
Step-by-step explanation:
Let be the radius, the diameter, and the volume of the spherical balloon.
We know and we want to find
The volume of a spherical balloon is given by
Taking the derivative with respect of time of both sides gives
We now substitute the values we know and we solve for :
The radius is increasing at a rate of approximately 0.044 in/s when the diameter is 12 inches.
When d = 16, r = 8 and is:
The radius is increasing at a rate of approximately 0.025 in/s when the diameter is 16 inches.
Because the radius is changing more rapidly when the diameter is 12 inches.
6-5x=3x
-5x-3=-6
-8=-6
x=-6/-8
= 3/4 or 0.75
The profit-maximizing price and resulting profits are $36 and $0 respectively.
<h3>What is profit-maximizing price?</h3>
The profit-maximizing price for the monopoly will be to produce at the quantity where marginal revenue is equal to marginal cost.
Therefore, suppose the average total cost is $36 when q = 24, the profit maximizing price is as follows:
when Q = 24 at average cost = $36,
Then,
profit-maximizing price = p = $36
Hence, the resulting profit is as follows;
resulting profit = 36 - 36 = $0
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Answer:
no solutions
Step-by-step explanation:
|7x-6|+7=3
We need to isolate the absolute value
Subtract 7 from each side
|7x-6|+7-7=3-7
|7x-6|=-4
An absolute value is not negative so there are no solutions