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Harlamova29_29 [7]
3 years ago
15

Ace Cars says they will pay Jim a 10% commission on the sale price of each car. Budget Cars says they will pay him $500 per week

plus a 7.5% commission on the sale price of each car. Jim can sell one car every week. What price would the car have to sell for in order for these two job opportunities to pay Jim the same amount?
Mathematics
1 answer:
Arisa [49]3 years ago
8 0

Answer:

  $20,000

Step-by-step explanation:

You can quickly figure this by recognizing that the difference in commission must be the same as the base salary:

  2.5%(car price) = $500

  car price = $500/0.025 = $20,000

__

If you prefer, you can get there with equations.

At Job 1, the pay is ...

  y = 10%×(car price)

At Job 2, the pay is ...

  y = 7.5%×(car price)

Setting the equal (the two opportunities pay the same), we have ...

  0.10(car price) = 500 +0.075(car price)

  0.025(car price) = 500 . . . . . . . . subtract 0.075(car price)

  car price = 500/0.025 = 20,000 . . . . divide by 0.025

Jim would have to sell a $20,000 car each week for the jobs to pay the same.

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Triangle EFG is dilated by a scale factor of 3 centered at (0, 1) to create triangle E'F'G'. Which statement is true about the d
lesya [120]

Answer:

segment EH and segment E prime H prime both pass through the center of dilation.  

Step-by-step explanation:

Center of dilation is point (0.1), same as H. Both, E(0,5) and H(0,1) are placed over y-axis, then E' and H' are also located at y-axis.

After dilation, H' is placed at (0,1) because it coincides with the center of dilation

Distance between E and center of dilation is 4 units, then E' should be at 4*3=12 units from the center of dilation and over y-axis. Therefore, E' is placed at (0, 13)

So, segment E'H' goes from (0,1) to (0,13), and pass through the center of dilation, like segment EH.

4 0
3 years ago
The age at which small breed dogs are fully housebroken follows a Normal distribution with mean ms = 6 months and standard devia
atroni [7]

Answer:

This measure is just 0.17 standard deviations from the mean, so we should not be surprised.

Step-by-step explanation:

Normal probability distribution

When the distribution is normal, we use the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

If the z-score is lower than -2, or higher than 2.5, the score of X is considered unusual.

Subtraction of normal variables:

When we subtract normal variables, the mean is the subtraction of the means, while the standard deviation is the square root of the sum of the variances.

Let xS – xL represent the sampling distribution.

Mean s 6, means L 4. So

\mu = 6 - 4 = 2

Standard deviation s is 2.5, for L is 1.5. So

\sigma = \sqrt{2.5^2+1.5^2} = 2.915

Should we be surprised if the sample mean housebroken age for the small breed dogs is at least 2.5 months more than the sample mean housebroken age for the large breed dogs? Explain your answer.

We have to find the z-score for X = 2.5. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{2.5 - 2}{2.915}

Z = 0.17

This measure is just 0.17 standard deviations from the mean, so we should not be surprised.

7 0
2 years ago
The cylinder above has a radius of 5 inches and a height of 12 inches. What is the surface of the cylinder above?
Ipatiy [6.2K]

Answer:

I think its b

Step-by-step explanation:

A=2πrh+2πr2=2·π·5·12+2·π·52≈534

5 0
3 years ago
The side of a square is 2X unites. Select the expression that represents the area
Aneli [31]

Answer:

6x x 6x

Step-by-step explanation:they are all actually like terms so just  add then together and the multiply this

4 0
3 years ago
A student needs 23 pound of modeling clay for a project. If each package has 18 pound of clay, how many packages of clay does th
Tems11 [23]

Answer:

First from 18, you count to 23. So, 19, 20, 21, 22, 23. There were only 5 more pounds needed, so it would be, 1 full package of 18 pounds and 1 quarter of a package (I think), because it is not a full package, another full package of 18 would be 36 pounds. I hope this helped! [It might not]

5 0
3 years ago
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