The fare of $(20 - 2.5) = $17.5 will maximize the total fare.
<h3>What is Differentiation?</h3>
Differentiation means the rate of change of one quantity with respect to another. The speed is calculated as the rate of change of distance with respect to time.
Here, The operator for a round-trip fare of $20, carries an average of 500 people per day.
It is estimated that 20 fewer people will take the trip, for each $1 increase in fare.
for $x increase in fare, 20x less people will take the trip and at that time the total fare F is given by
f(x) =(20 + x)(500 - 20x)
f (x) = 10000 + 100x - 20x²
For f(x) to be maximum, the condition is dy/dx = 0
100 - 40x = 0
⇒ x = 2.5
Thus, the fare of $(20 - 2.5) = $17.5 will maximize the total fare.
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Answer:
Step-by-step explanation:
By the Pythagorean Theorem
h^2=x^2+y^2
Which means that the hypotenuse (longest side of a right triangle) squared is equal to the sum of its squared sides. In this case we are given the side lengths of 8 and 15 feet.
h^2=8^2+15^2
h^2=64+225
h^2=289
h=17 ft
The ladder is 17 feet long.
<span>it would be 5+2+11 because a lll number are prime</span>
Answer:
A and D are equal
Step-by-step explanation:
Given
![A=-2[-6, 4, 3 ,7, 12, 10]](https://tex.z-dn.net/?f=A%3D-2%5B-6%2C%204%2C%203%20%2C7%2C%2012%2C%2010%5D)
![B=3[-2, 2, 8, 8, 5, 6]](https://tex.z-dn.net/?f=B%3D3%5B-2%2C%202%2C%208%2C%208%2C%205%2C%206%5D)
![3C=3[-2, 8, 2, 5, 8, 6]](https://tex.z-dn.net/?f=3C%3D3%5B-2%2C%208%2C%202%2C%205%2C%208%2C%206%5D)
![D=-1[-12, 8, 6, 14, 24, 20].](https://tex.z-dn.net/?f=D%3D-1%5B-12%2C%208%2C%206%2C%2014%2C%2024%2C%2020%5D.)
Required
The equal matrices
First, we simplify the given expressions
Open bracket
![A= [12, -8, -6 ,-14, -24, -20]](https://tex.z-dn.net/?f=A%3D%20%5B12%2C%20-8%2C%20-6%20%2C-14%2C%20-24%2C%20-20%5D)
Next:
Open bracket
![B=[-6, 6, 24, 24, 15, 18]](https://tex.z-dn.net/?f=B%3D%5B-6%2C%206%2C%2024%2C%2024%2C%2015%2C%2018%5D)
Next:
Divide by 3
![C=[-2, 8, 2, 5, 8, 6]](https://tex.z-dn.net/?f=C%3D%5B-2%2C%208%2C%202%2C%205%2C%208%2C%206%5D)
Lastly:
Open bracket
![D=[12, -8, -6, -14, -24, -20].](https://tex.z-dn.net/?f=D%3D%5B12%2C%20-8%2C%20-6%2C%20-14%2C%20-24%2C%20-20%5D.)
By comparison:
![A = D=[12, -8, -6, -14, -24, -20].](https://tex.z-dn.net/?f=A%20%3D%20D%3D%5B12%2C%20-8%2C%20-6%2C%20-14%2C%20-24%2C%20-20%5D.)
