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labwork [276]
1 year ago
11

A ferry operator takes tourists to an island.

Mathematics
1 answer:
Oksanka [162]1 year ago
3 0

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

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Joaquin writes the following list of numbers.
swat32

From the given list of numbers, the numbers that are:

rational are 26, -3/2, 0, and 9.

irrational are 5.737737773..., and √45.

Any number that can be written in the form of p/q, where p and q are integers, and q ≠ 0, are called rational numbers.

All terminating and non-terminating recurring decimals are rational numbers.

All the numbers that cannot be represented in the rational form of p/q are irrational numbers.

All non-terminating non-recurring decimals are irrational.

All square roots of imperfect square numbers, that is, surds, are irrational numbers.

In the question, we are asked to classify the given list of numbers into rational and irrational numbers.

  • 5.737737773...: It is an irrational number, since its a non-terminating non-recurring decimal.
  • 26: It is rational as it can be represented in the p/q form (26/1).
  • √45: It is irrational as it is a square root of an imperfect square number, that is, it is a surd.
  • -3/2: It is rational as it is in the form p/q.
  • 0: It is rational as it can be represented in the p/q form (0/1).
  • 9: It is rational as it can be represented in the p/q form (9/1).

Thus, from the given list of numbers, the numbers that are:

rational are 26, -3/2, 0, and 9.

irrational are 5.737737773..., and √45.

Learn more about rational and irrational numbers at

brainly.com/question/14994517

#SPJ9

The provided question is incorrect. The correct question is:

Joaquin writes the following list of numbers.

5.737737773..., 26, √45, -3/2, 0, 9.

Which numbers are rational?

Which numbers are irrational?

6 0
1 year ago
I am bored, answer with the BEST answer and I will make you brainliest............
Arada [10]
If it took you (one person) 3 days to build a doghouse, then it should take 2 people to build it in half the time. So all we have to do is split 3 days in 2. 

3/2 = 1.5 
So it would take 1 1/2 days or 36 hours for 2 people to complete the doghouse.
3 0
3 years ago
-5x+10&gt;-15 help please
nexus9112 [7]

Answer:

Step-by-step explanation:

-5x + 10 > -15 is your original equation.

You need to isolate the x variable.

Start by subtracting 10.

-5x > -25

x > 5

3 0
3 years ago
Which properties are best used prove a quadrilateral is a square?
adell [148]

Answer:

a, b, c, & d

Step-by-step explanation:

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3 years ago
Pls help me answer the products and factors<br><br><br> thx
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Answer:

products - -3x and 6x^2

factors - 8 and 2x

Step-by-step explanation:

8 0
3 years ago
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