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.
Learn more about Differentiation from:
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Answer:
1. 35 2. 565.5 3. 12.28
Step-by-step explanation:
1. Triangle 1 & 2: 7x3=21
You do not have to divide by 2 is since there are two triangles.
Semi-circle: 14.13
2. Trinagle: 29x19/2 = 275.5
Rectangle: 29x10 = 290
3. Triangle: 3x4/2 = 6
Semi-circle: 3.14x4/2 = 6.28
<em>Took a long time- Please give Brainliest and points!</em>
<span>700 cm
I might be wrong though
have fun with it</span>
Answer:
3 minutes
Step-by-step explanation:
To find how many minutes it will take to play the whole song, multiply 1/5 by 15
15(1/5)
= 3
So, it will take 3 minutes to play the whole song
Answer:
12 Pieces
Step-by-step explanation:
Number of candies in Jane's bag = x
she gives 8 to her friend;
x - 8
Then jane's grandmother buys 5 more pieces than jane had originally; add (x + 5)
x - 8 + x + 5
Now jane has 27 pieces of candy
x - 8 + x + 5 = 27
Solve for x;
x - 8 + x + 5 = 27
2x - 3 = 27
2x = 27 -3
2x = 24
x = 12
