5849 rounded to the nearest hundred
- The number '8' is located in the hundreds place
- Since there is a '4' in the tens place, it's telling number '8' to stay the same
5849 ⇒ 5800
2621 rounded to the nearest hundred
- The number '6' is located in the hundreds place
- Since there is a number '2' in the tens place, it's telling number '6' to stay the same
2621 ⇒ 2600
Answer: 5800 - 2600
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:
wow
Step-by-step explanation:
<span>|7x-7|+3 = 4x+1 ⇒⇒⇒ add (-3) to both sides
</span>
<span>∴ |7x-7| = 4x - 2
</span>
According to the absolute rule
∴ 7x - 7 = 4x - 2 OR -(7x - 7) = 4x - 2
7x - 4x = 7 - 2 l 7x - 7 = -4x + 2
3x = 5 l 7x + 4x = 2 + 7
x = 5/3 l 11 x = 9 ⇒⇒⇒ x = 9/11
∴ x = 5/3 and 9/11
So, the correct answer is option <span>B. 5/3 and 9/11</span>
Answer:
n=16
Step-by-step explanation:
Let's solve your equation step-by-step.
12−2(n−1)=−18
Step 1: Simplify both sides of the equation.
12−2(n−1)=−18
12+(−2)(n)+(−2)(−1)=−18(Distribute)
12+−2n+2=−18
(−2n)+(12+2)=−18(Combine Like Terms)
−2n+14=−18
−2n+14=−18
Step 2: Subtract 14 from both sides.
−2n+14−14=−18−14
−2n=−32
Step 3: Divide both sides by -2.
−2n
/−2 = −32
/−2
n=16
