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3 years ago

Read the following statements:

Mathematics

2 answers:

Kruka [31]3 years ago

6 0

Answer:

I AND II only

Step-by-step explanation:

enyata [817]3 years ago

4 0

II only is the correct answer

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Pearl's Biking Company manufactures and sells bikes. Each bike costs £40 to make, and the company's fixed costs are £5000. In ad

____ [38]

Answer:

R(x) =300·x - 2·x²

C(x) = £5000 + £40 × x

The break even points are 23.47 and 106.53 or 23 and 107 bikes

Step-by-step explanation:

Given that the price function P(x) = 300 -2·x

Cost per bike = £40

The revenue function R(x) is given by bike price × total number of bikes manufactured and sold

∴ R(x) = P(x)×x = (300 - 2·x)×x = 300·x - 2·x²

The company's cost function, C(x) is Fixed cost + cost to produce each bike × total number of bikes produced

∴ C(x) = £5000 + £40 × x

The break even point is given by the relation;

Total revenue - total cost = 0

That is, break even point is R(x) - C(x) = 0

300·x - 2·x² - (5000 + 40·x) = 0

-2·x²+260·x-5000 = 0 or 2·x²- 260·x + 5000 = 0

Factorizing, we have;

(x - (65 -5√69))(x - (65 +5√69))

Solving gives x = 23.47 or 106.53

Therefore, the break even points are 23.47 and 106.53.

That is the company is profitable when they produce less than 23 bikes or more than 107 bikes.

3 0

3 years ago

elimination was used to solve a system of equations. one of the intermediate steps led to the equation 2x= 8. which of the follo

konstantin123 [22]

9514 1404 393

Answer:

Step-by-step explanation:

The step shown indicates that y was eliminated from the equations. For choices A, B, D, this is done by adding the equations together (the y-coefficients are opposites). The result of doing that gives x-terms of 4x, 0x, and 0x, respectively. These x-terms do not match the one given: 2x.

For choice C, the y-term is eliminated by subtracting twice the second equation from the first. Doing that gives ...

(4x +2y) -2(x +y) = (14) -2(3)

4x +2y -2x -2y = 14 -6 . . . . eliminate parentheses

2x = 8 . . . . . . . . . . . . . . collect terms

8 0

3 years ago

Please show me how to start this question but don't give me the answer

Natalija [7]

To make the input-output table, we need to plug in the given vaues of x's in the equation to get their corresponding values of y.

Let's plug in x = -2 in y = 6x +5. So,

y = 6( -2) + 5 = -12 + 5 = -7

Similarly for x = 0, y= 6(0) + 5 = 5

For x = 1, y = 6(1) + 5 = 6 + 5 = 11

For x = 4, y = 6(4) + 5 = 24 + 5 = 29

For x= 5, y = 6(5) + 5 = 30 + 5 = 35.

I am attaching the input -output table from the above result.

Hope this helps you!

4 0

3 years ago

It isn't necessary to consider convenience issues when selecting a bank. True False

kiruha [24]

The statement is false.

6 0

3 years ago

Read 2 more answers

7. In a state lottery, a player must choose 8 of the numbers from 1 to 40. The lottery commission then performs an experiment th

Vlad1618 [11]

Answer:a) P(8 of the players numbers are drawn)=1.3×10^-8

b) P(7 of the players number are drrawn)=3.33×10^-c) P(at least 6 of the players number were drawn)=1.84×10^-4

Step-by-step explanation:

Players has 8 combinations of numbers from 1-40. The outcome S contains all the combinations of 8 out of 40

a) P(8 of the players numbers are drawn)= 1/40/8= 1.3×10^-8

There are one in hundred million chances that the draw numbers are precisely the chosen ones.

b) Number of ways of drawing 78 selected numbers from 1-40=8×(40-7)

8×32

P(7 of the players number are drawn)=8×32/40 =3.33×10^-6.

There are approximately 300,000 chances that 7 of the players numbers are chosen

c) P(at least 6 players numbers are drawn)= 32/2×(8/6) ways to draw.

P(at least 6 players numbers are drawn)=P(all 8 chosen are drawn)+P(7 players numbers drawn)+P(6 chosen are drawn) = 1+ 8 x32/40/8 +[8\6 ×32/2]

P(at least 6 players numbers are drawn) = 1.84×10^-4.

There are approximately 5400chances that at least6 of the numbers drawn are chosen by the player.

5 0

3 years ago