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: The approximate value of x is -3.396
Step-by-step explanation:
Given:
Now,to find the value of x.
Use logarithm rule:
We have,
Now,
Using value of: and we get,
on simplify:
Adding 1 both the sides, we get
Therefore, the approximate value of x for the equation is -3.396.
=
Step-by-step explanation:
13. 44 + 40 = 84
14. 15 + 81 = 96
15. 13 + 52 = 65
16. 64 + 28 = 92
Answer:
Step-by-step explanation:
sum of angles of parallelogram=360 degrees
adjacent angles add up to 180 degrees (supplementary angles)
Angle A=104 (DAB=104)
Angle D=180-104=76 degrees (angle ADB)
Angle B=60 degrees
Angle C=180-60=120 (DCB)
