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cluponka [151]
3 years ago
11

A sales person in a stereo store is given a choice of two different compensation plans. One plan offers a weekly salary of $250

plus a commission of $25 for each stereo sold. The other plan offers no salary but pays $50 commission on each stereo sold. How many stereos must the sales person sell to make the same amount of money under both plans ?
Mathematics
1 answer:
snow_tiger [21]3 years ago
4 0

Answer:

<em>The salesperson needs to sell 10 stereos to make the same money on both plans</em>

Step-by-step explanation:

We'll analyze both choices for the compensation plans of a salesperson.

One plan offers a fixed weekly salary of $250 plus a $25 commission for each stereo sold. The function than models this plan is:

P1=250+25x

Where x is the number of stereos sold.

The other plan offers no fixed salary but a $50 commission on each stereo sold. The function of this plan is:

P2=50x

To find the equilibrium point for both plans, we make P1=P2:

250+25x=50x

Simplifying:

25x=250

Solving:

x = 250 / 25 = 10

The salesperson needs to sell 10 stereos to make the same money on both plans

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we believe that 42% of freshmen do not visit their counselors regularly. For this year, you would like to obtain a new sample to
Maksim231197 [3]

Answer:

A sample of 1077 is required.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

The margin of error is of:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

42% of freshmen do not visit their counselors regularly.

This means that \pi = 0.42

98% confidence level

So \alpha = 0.02, z is the value of Z that has a pvalue of 1 - \frac{0.02}{2} = 0.99, so Z = 2.327.

How large of a sample size is required?

A sample size of n is required, and n is found when M = 0.035. So

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.035 = 2.327\sqrt{\frac{0.42*0.58}{n}}

0.035\sqrt{n} = 2.327\sqrt{0.42*0.58}

\sqrt{n} = \frac{2.327\sqrt{0.42*0.58}}{0.035}

(\sqrt{n})^2 = (\frac{2.327\sqrt{0.42*0.58}}{0.035})^2

n = 1076.8

Rounding up:

A sample of 1077 is required.

3 0
3 years ago
Two rubix cubes are shown in the image. The edge length of these cubes is 5.7 centimeters. What is the combined volume of the tw
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Answer:

The answer is No.4

Step-by-step explanation:

Giventhat the formula of a cube is, V = x³ where x determine the length of the edge of the cube. By using this formula, you may find out the volume of a rubix cube :

x = 5.7cm

V = 5.7³

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Gelneren [198K]

Answer:

p=16

Step-by-step explanation:

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Shtirlitz [24]

Answer:

The y-intercept of the line is 2

Step-by-step explanation:

You could try to find the slope of the line and then find the intercept with y axis by sloving b = y - ax

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Just extrapolate the table to the left, and you will find the y value where x = 0

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So the y-intercept of the line is 2.

Extra:

The full equation of the line is:

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Answer:

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Step-by-step explanation:

a is less than or equal to 10

less than: <

equal: =

less than or equal to: ≤

Hope this helps ;) ❤❤❤

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