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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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A traditional, physical bank with online options is a type of online bank.
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Answer:

True

Step-by-step explanation:

It is still a traditional bank. The online option is there for your convenience, but doesn't make the bank all online. Hope this helped!

6 0
2 years ago
You roll a fair 6 sided dice. What is p(not 5)?
liq [111]

Answer:

p(not 5) = 5/6

Step-by-step explanation:

The probability that we roll a 5 is 1/6. So, the probability we don't roll a five is simple 1 minus that:

1-\frac{1}{6} = \frac{5}{6}

And that's your answer.

7 0
3 years ago
What is the next term in this arithmetic sequence?<br> 11, 8, 5, 2,...<br> 0-3<br> 06<br> 05
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7 0
3 years ago
A small company that manufactures snowboards uses the relation below to model its profit. In the model,
amm1812

Answer:

a)   x₁ = 14

     x₂ = - 6

b) x = 4

c) P(max ) = 4000000 $

Step-by-step explanation:

To find the axis of symmetry we solve the equation

a) -4x² + 32x + 336 = 0

4x²  - 32x  - 336  = 0       or    x² - 8x - 84 = 0

x₁,₂ = [ -b ± √b² -4ac ]/2a

x₁,₂ = [ 8  ±√(64) + 336 ]/2

x₁,₂ = [ 8  ± √400 ]/2

x₁,₂ =( 8 ± 20 )/2

x₁  = 14

x₂ = -6

a) Axis of symmetry must go through the middle point between the roots

x = 4 is the axis of symmetry

c) P = -4x² + 32x + 336

Taking derivatives on both sides of the equation we get

P´(x) = - 8x + 32  ⇒  P´(x) = 0     - 8x + 32

x = 32/8

x = 4    Company has to sell  4 ( 4000 snowboard)

to get  a profit :

P = - 4*(4)² + 32*(4) + 336

P(max) = -64  + 128 + 336

P(max) = 400           or  400* 10000 =  4000000

     

8 0
3 years ago
Write 27 as a power and as repeated multiplication
Oxana [17]

Answer:

3*3*3

3^3

Step-by-step explanation:

27 = 9*3

    = 3*3*3

    = 3^3

6 0
3 years ago
Read 2 more answers
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