1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
labwork [276]
2 years ago
11

A ferry operator takes tourists to an island.

Mathematics
1 answer:
Oksanka [162]2 years 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

You might be interested in
Pls answer this asap
zimovet [89]

Answer:

$20.44

Step-by-step explanation:

first solve for the whole thing

10 x 6 = 60

now to the red part

2 x 1.5 = 3

now the blue

r^2 * pi = a

2^2 * 3.14

4 * 3.14 = 12.56

now add red and blue

3 + 12.56 = 15.56

now subtract that sum from the whole

60 - 15.56 = 44.44

now do

44.44 / 10 = 4.444

now see how much it would cost for the grass

4.444 * 4.60 = 20.4424 ≈ 20.44

it would cost $20.44 to get the grass reseeded

6 0
3 years ago
Read 2 more answers
1.2(4x – 1) = 8x – 2
zysi [14]

6x

Step-by-step explanation:

1.2(4x-1)=8x-2=6x

3 0
3 years ago
How many solutions exist for the given equation? 3x 13 = 3(x 6) 1 zero one two infinitely many
romanna [79]

An equation is formed of two equal expressions. There is no solution set of the equation 3x+13 = 3(x+6)+1.

<h3>What is an equation?</h3>

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The equation can be solved in the following manner,

3x+13 = 3(x+6)+1\\3x+13=3x+18+1\\3x+13=3x+19

Since both the sides of the equation are the same in terms of variable and the constant terms are not the same. Therefore, there is no solution set of the equation 3x+13 = 3(x+6)+1.

Learn more about Equation:

brainly.com/question/2263981

8 0
2 years ago
Ok sorry about all the questions
ss7ja [257]

Answer:

D is the answers for the question

Step-by-step explanation:

please mark me as brainlest

4 0
3 years ago
Read 2 more answers
If 3a-2b= 8 and a+3b=7 what is the value of 4a+b?
Fittoniya [83]
Step 1: Find the value of one variable in terms of the other.

a+3b=7\\a=7-3b

Step 2: Substitute the value you just found for this variable in the other equation.

3a-2b=8\\3(7-3b)-2b=8\\21-9b-2b=8\\21-11b=8\\21=8+11b\\13=11b\\\frac{13}{11}=b\\ b=1\frac{2}{11}

Step 3: Use your new value for the second variable to find the first.

a+3b=7\\a+3(1\frac{2}{11})=7\\a+3\frac{6}{11}=7\\\\a=3\frac{5}{11}

Now that we know the values for a and b we can find the value of 4a+b.

4a+b\\4(3\frac{5}{11})+1\frac{2}{11}\\12+\frac{20}{11}+1\frac{2}{11}\\\\12+1\frac{9}{11}+1\frac{2}{11}\\\\\boxed{15}
6 0
3 years ago
Other questions:
  • Find the value of x in this equation.<br><br> 13(6x – 5) – x = 13 – 2(x + 1)
    5·1 answer
  • If f(x) = square root of x+3, what is the equation for f–1(x)? f–1(x) = x2 - 3 f–1(x) = x2 + 3 f–1(x) = (x - 3) 2 f–1(x) = (x +
    8·1 answer
  • How to write the quotient of a number plus 6 and 3 as a variable expression
    12·1 answer
  • Idk do not know how to do this
    12·2 answers
  • Solve the following system of equations. Express your answer as an ordered pair in the format (a,b), with no spaces between the
    11·1 answer
  • 50 POINTS PLEASE ANSWER!
    11·2 answers
  • the factory produces 115 items an hour. Write an equation that shows the relationship between hours x and items y plz help
    13·1 answer
  • Which inequality is true?
    9·2 answers
  • I'LL GIVE BRAINLIEST TO WHOEVER ANSWERS FIRST!! NO RANDOM LINKS.
    5·1 answer
  • Please Help!!! Will give brainliest
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!