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3 years ago

Argyle sells computers. He keeps one

Mathematics

1 answer:

Tomtit [17]3 years ago

7 0

Answer:

Note: I'm assuming that he keeps 1/8 of the money spent for himself.

If this is what the question was asking, then the answer would be:

Argyle must sell $4,000 worth of computers.

Step-by-step explanation:

First, we write an equation.

1/8n = $500

Note: n is the variable I'm using to represent the amount of money Argyle must sell to get $500 as commission.

Then, to get the value of n and to get rid of the fraction, we multiply both sides by 8:

1/8n * 8 = $500 * 8

= n = $4000

Therefore, Argyle must sell $4,000 worth of computers to keep 1/8 ($500) as commission.

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Sample annual salaries (in thousands of dollars) for employees at a company are listed. 42 36 48 51 39 39 42 36 48 33 39 42 45 (

Sonja [21]

Answer:

a) Data given: 42 36 48 51 39 39 42 36 48 33 39 42 45

$\bar X = 41.538$

$s = 5.317$

b) 44.1, 37.8, 50.4, 53.55, 40.95, 44.1, 37.8, 50.4 ,34.65, 40.95, 44.1, 47.25

$\bar X = 43.615$

$s= 5.583$

c) 3.5, 3, 4, 4.25, 3.25, 3.25, 3.5, 3, 4, 2.75, 3.25, 3.5, 3.75

$\bar X= 3.462$

$s = 0.443$

d) As we can see, the average of part b is 1.05 times the average of part a (1.05 * 41.538 = 43.615) and the average of part c is equal to the average obtained in part a divided by 12 (41.538 / 12 = 3.462).

And that happens because we create linear transformations for the parts b and c and the linear transformation affects the mean.

And you have the same interpretation for the deviation, it is affected by the linear transformation as the mean.

Step-by-step explanation:

For this case we can use the following formulas for the mean and standard deviation:

$\bar X = \frac{\sum_{i=1}^n X_i}{n}$

$s = \sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}$

Part a

Data given: 42 36 48 51 39 39 42 36 48 33 39 42 45

And if we calculate the mean we got:

$\bar X = 41.538$

$s = 5.317$

Part b

For this case we know that each value present a 5% of rise so we just need to multiply each value bu 1.05 and we have this new dataset:

44.1, 37.8, 50.4, 53.55, 40.95, 44.1, 37.8, 50.4 ,34.65, 40.95, 44.1, 47.25

And if we calculate the new mean and deviation we got:

$\bar X = 43.615$

$s= 5.583$

Part c

The new dataset would be each value divided by 12 so we have:

3.5, 3, 4, 4.25, 3.25, 3.25, 3.5, 3, 4, 2.75, 3.25, 3.5, 3.75

And the new mean and deviation would be:

$\bar X= 3.462$

$s = 0.443$

Part d

As we can see, the average of part b is 1.05 times the average of part a (1.05 * 41.538 = 43.615) and the average of part c is equal to the average obtained in part a divided by 12 (41.538 / 12 = 3,462).

And that happens because we create linear transformations for the parts b and c and the linear transformation affects the mean.

And you have the same interpretation for the deviation, it is affected by the linear transformation as the mean.

5 0

4 years ago

$470 is raised by 30%. What is the value after the increase?

alekssr [168]

<h3>Answer: $611</h3>

Work Shown:

30% of 470 = 0.30*470 = 141

The value goes up by $141, so the answer would be 470+141 = $611

A slight shortcut would be to say

1.30*470 = 611

This works because 1.30 = 1 + 0.30 = 100% + 30%

3 0

3 years ago

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Jackie's restaurant bill was $23. 50, and the tax was 8%. Jackie left a 20% tip on the post-tax bill. How much was the tip Jacki

Ksju [112]

well, the subtotal or pre-tax bill is $23.50, now let's add the 8% tax and

$\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{8\% of 23.50}}{\left( \cfrac{8}{100} \right)23.50}\implies 1.88$

so the post-tax bill is 23.50 + 1.88 = 25.38, and Jackie's tip is 20% of that

$\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{20\% of 25.38}}{\left( \cfrac{20}{100} \right)25.38}\implies 5.076\qquad \approx 5.08$

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2 years ago

What is the volume for this prism?? Thank you :)

klemol [59]

Answer:

Volume = Area by height. V = A X h.

Step-by-step explanation:

i hope it helps

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3 years ago

The equation of line AB is y= 5x+1 . Write an equation of a line parallel to line AB in slope intercept form that contains point

Nadusha1986 [10]

Slope intercept form is: y=mx+b

For the other line to be parallel they must have the same slope so:

y=5x+b, using the point (4,5) we can solve for the y-intercept, or "b"

5=5(4)+b

5=20+b

b=-15 so the line is:

y=5x-15

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4 years ago