Yes, it equals -1/6x + 10
$21 I believe (it's 1 am where I am so I'm not 100% sure but I think it's correct)
9514 1404 393
Answer:
455
Step-by-step explanation:
The decrease was 30% of 650, or ...
0.30 · 650 = 195
So, the population this year is ...
650 -195 = 455
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:
brainly.com/question/24062595
#SPJ1
Answer:
The radius of the circle r=12.
The area of a circle is 144π.
Step-by-step explanation:
The radius of the circle is r where 2πr=24π, r=12.
The area of a circle with radius 12 is
A=πr², A=π12², A=144π.
