The table below shows the earnings, in thousands of dollars, for three different commissioned employees.

Employee #1
$2,000 + 3% on all sales
Employee #2
7% on all sales
Employee #3
5% on the first $40,000 + 8% on anything over $40,000
December
4.4
5.6
5.2
January
3.5
3.85
3.6
February
4.7
4.9
4.4

Which employee did not have the same dollar amount in sales for the month of February as the other two employees?
a.
Employee #1.
b.
Employee #2
c.
Employee #3
d.
They each had the same dollar amount in sales.

Answers

Answer 1

The employee who did not have the same dollar amount in sales for the month of February as the other two employees is (a) Employee 1.

What is Percentage?

Percentage is defined as the parts of a number per fraction of 100. We have to divide a number with it's whole and then multiply with 100 to calculate the percentage of any number.

Earnings of three employees in the month of February are :

Employee 1 = 4.7 = $4700

Employee 2 = 4.9 = $4900

Employee 3 = 4.4 = $4400

Earnings of employee 1 = $2,000 + 3% on all sales

Let the amount of all sales be x.

2000 + (3% x ) = 4700

2000 + 0.03x = 4700

0.03x = 2700

x = 90,000

Earnings of employee 2 = 7% on all sales

Let the amount of all sales be x.

0.07x = 4900

x = $70,000

Earnings of employee 3 = 5% on the first $40,000 + 8% on anything over $40,000

Let the amount of sales be 40,000 + x.

(0.05 × 40,000) + (0.08 x) = 4400

2000 + 0.08x = 4400

0.08x = 2400

x = $30,000

Amount of sales = $40,000 + $30,000 = $70,000

Hence employee 1 did not have the same amount as the other 2 in February.

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Related Questions

what if 5476 divided by 74? i need the working out too please!

Answers

I hope that the attachment helps you..

Abby bought 5 chocolate bars from the store. She gave 1/4 a bar to her firends. How many freinds got chocolate

Answers

Answer:

5

Step-by-step explanation:

Just 1/4 from each of 5 bars so 5.

Answer:

20

Step-by-step explanation:

So if we divide 5 by 1/4 that gives us 20, which is the total amount of friends she can give 1/4 of a bar too

is it linear??? plzzzzz

Answers

Answer:

Not a linear function

Step-by-step explanation:

3xy = 27 is not a linear function.

A linear function is given by f(x) = mx + b (in slope-intercept form), or Ax + By = C (in standard form).   An easier way of understanding the linear function is to envision that the variables (x and y), along with the constant,(y-intercept, are along the same line.  

Isolating y from the left-hand side:

3xy = 27  

On the left-hand side of the equation: 3xy involves a multiplication operation. Thus, 3xy  is the same as expressing it as  3·x·y.  

We cannot simply add or subtract x or y to isolate either one of the variables.  The proper mathematical operation to do so is by division.

Hence, we must divide both sides by 3x to isolate y:

[tex]\displaystyle\mathsf{\frac{3xy}{3x}\:=\:\frac{27}{3x}}[/tex]

[tex]\displaystyle\mathsf{y\:=\:\frac{9}{x}}[/tex]   ⇒ This is a reciprocal function, also known as an inverse function, where it is undefined when x = 0.  The graph of an inverse function is a hyperbola.      

Attached is the graph of  [tex]\displaystyle\mathsf{y\:=\:\frac{9}{x}}[/tex]  to show why it is not considered as a linear function. A linear function will show a straight line.  

The basic wage earned by a truck driver for a 40-hour week is $560.00
(i) Calculate his hourly rate
For overtime work, the driver is paid one and a half times the basic hourly rate.
(ii) Calculate his overtime wage for 10 hours overtime.
(iii) Calculate the TOTAL wages earned by the truck driver for a 55-hour week.​

Answers

Answer:

i: 14

ii: 140

iii: 770

(In question iii I didn't put the 10 hours overtime in it and if I put it its 910.

Step-by-step explanation:

i: 650/40=14

ii: 14x10=140

iii: 14x55=770

A and B stand in a line at random with 10 other people. What is the probability that there are exactly 3 people between A and B?

Answers

Answer:

so no answer

Step-by-step explanation:

no answer

what is the greatest common factor of
8x - 12

Answers

Answer:

4

Step-by-step explanation:

8x - 12

4(2x - 3)

Dependent Task:

Directions: Write the place value and the value of the underlined digit.

Number PLACE OF VALUE VALUE
1. 0.345 _____________ _____
2. 0.3469 _____________ _____
3. 0.6ó54 _____________ ______


(UNDERLINED DIGIT)
1. 5
2.3
3.4


please​

Answers

Answer

Use your mind  

Nobody wants to help you, especially since you are no help to others.

keenan has $3.15. at a cany store,sour fruit chews are $0.07 each. how many sour fruits chews could he buy?

Answers

Answer:

45

Step-by-step explanation:

divide 3.15 by 0.07 to get 45

Answer:45

Step-by-step explanation:

divide 3.15 by 0.07 answer 45

Use technology to find the P-value for the hypothesis test described below
The claim is that for 12 AM body temperatures, the mean is > 98.6°F. The sample size is n = 3 and the test statistic is t=2.446
P-value = (Round to three decimal places as needed)

Answers

Answer: C

Step-by-step explanation:

Hope it help

Michelle is scuba diving. Her position changes from -2.1 m to -38.6 m in 6 1/4 minutes. What is the average change in Michelle’s position each minute. Show your work.

Answers

Answer:   5.824 m / min

Step-by-step explanation:

Change in position = -2.1m to -38.6m

Distance = |-38.6 m - (-2.1m) |

=|-36.5| m

= 36.5 m

Time =  

The average change in Michelle's position each minute =  

Hence, the average change in Michelle's position each minute = 5.824 m / min

What is the simplified form of the expression? 7r - 8r + 13 -2r + 5? Please help me

Answers

Answer:

- 3r + 18

Step-by-step explanation:

7r - 8r - 2r + 13 + 5 = 7r - 10r + 18

List at least five importance of having self discipline m following protocol during enhanced community quarantine in your respective barangay ​

Answers

Answer:

no clue -0- if I knew I would tell you

What is the interior degree measure of angle A?

Answers

Answer:

in the picture

Step-by-step explanation:

opposite corners first, then adjacent corners, and so on

Are the triangles congruent! (Help)

Answers

No
For the two triangles to be congruent their corresponding angles should be equal.
Here they have different angles i.e. their corresponding angels are not equal
therefore they are not congruent

Solve this quadratic function

Answers

[tex]\textit{vertex of a vertical parabola, using coefficients} \\\\ y=\stackrel{\stackrel{a}{\downarrow }}{-1}x^2\stackrel{\stackrel{b}{\downarrow }}{+3}x\stackrel{\stackrel{c}{\downarrow }}{+8} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right) \\\\\\ \left( -\cfrac{3}{2(-1)}~~,~~8-\cfrac{3^2}{4(-1)} \right)\implies \left( \cfrac{3}{2}~~,~~ 8+\cfrac{9}{4}\right)\implies \left( \cfrac{3}{2}~~,~~ \cfrac{41}{4}\right)[/tex]

now, for the solutions, or namely the x-intercepts, we simply set y = 0 and solve for "x", now this one doesn't factor into integers nicely, so we'll need to use the quadratic formula to get them.

[tex]~~~~~~~~~~~~\textit{quadratic formula} \\\\ 0=\stackrel{\stackrel{a}{\downarrow }}{-1}x^2\stackrel{\stackrel{b}{\downarrow }}{+3}x\stackrel{\stackrel{c}{\downarrow }}{+8} \qquad \qquad x= \cfrac{ - b \pm \sqrt { b^2 -4 a c}}{2 a} \\\\\\ x=\cfrac{ - 3 \pm \sqrt { 3^2 -4(-1)(8)}}{2(-1)}\implies x = \cfrac{-3\pm\sqrt{9+32}}{-2}\implies x = \cfrac{3\mp\sqrt{41}}{2}[/tex]

[tex]x = \begin{cases} \cfrac{3-\sqrt{41}}{2}\\[2em] \cfrac{3+\sqrt{41}}{2} \end{cases}\qquad \leftarrow \qquad na mely\textit{ solutions or zeros or x-intercepts}[/tex]

Solve the Linear Quadratic system of equations

y=x^(2)+2x-9
y=-2x+3

Answers

9514 1404 393

Answer:

  (x, y) = (-6, 15) and (2, -1)

Step-by-step explanation:

You can start by subtracting the second equation from the first.

  (y) -(y) = (x^2 +2x -9) -(-2x +3)

  0 = x^2 +4x -12 . . . . . . collect terms

  0 = (x +6)(x -2) . . . . . . . factor

Solutions for x are -6 and +2. These values make the factors zero.

The corresponding solutions for y are ...

  y = -2(-6) +3 = 15

  y = -2(2) +3 = -1

Solutions to the system of equations are ...

  (x, y) = (-6, 15) and (2, -1)

The sale price of a bike after being discounted 20% is $213.20. Which equation can you use to find the original cost of the bike b?​

Answers

Answer:

266.5%

Step-by-step explanation:

The sale price of a bike after being discounted 20% is $213.20. Which equation can you use to find the original cost of the bike b?​

213.2 : 80 = x : 100

x = 213.2 * 100 : 80

x = 266.5

------------------------------

check

266.5 - 20% = 213.2

the answer is good

HELP!! DUE IN 10 MINS!!!
Solve the following system using the elimination method.

x+y=12
x−y=12

Answers

Answer:

x = 12

y = 0

Step-by-step explanation:

Sum them:

2x = 24

so x = 12

12 - y = 12

so y = 0

Set A contains all prime numbers squared. Set B contains all multiples of 4. How many numbers are in the intersection of Set A and Set B

Answers

Answer:

The intersection operation is denoted by the symbol ∩. The set A ∩ B—read “A intersection B” or “the intersection of A and B”—is defined as the set composed of all elements that belong to both A and B. Thus, the intersection of the two committees in the foregoing example is the set consisting of Blanshard and Hixon.

10.
Use the quadratic function to predict y if x equals 6.

y = 2x2 − 2x − 2

A. y = 60

B. y = 58

C. y = −60

D. y = −58

Answers

Answer:

B. y = 58

Step-by-step explanation:

b) y=58 you follow the instructions

...............................................................................................................................................

The given quadratic function is      

y= 2x^2 - 2x - 2

We have to find the value of the function y at x=6.

Substitute x=6 in the given function.      

y= 2(6)^2 - 2(6) - 2

y= 2(36) - 12 - 2

y= 72 - 14

y= 58

The value of the function is 58 at x=6 is 58.

Therefore the correct option is B.

4. In a simple random sample of 120 women and 150 men from
a population of 150,000, 25% of the women and 37% of the men
are smokers. Suppose you are interested in comparing the
proportion of smokers by sex, compute the Z statistic.

Answers

The z-test compares the two sample to determine the existence of a

difference in the two proportion.

The Z-statistic or test of the difference in proportion is approximately -2.106.

Reasons:

The given parameter are;

Number of women, n₁ = 120 women

Number of men, n₂ = 150 men

The population size = 150,000

Percentage of women that are smokers in population, [tex]\hat p_1[/tex] = 25%

Percentage of men that are smokers in population, [tex]\hat p_2[/tex] = 37%

The Z statistic is given as follows;

[tex]\displaystyle Z= \mathbf{\frac{\hat{p}_1-\hat{p}_2}{\sqrt{\hat{p}(1-\hat{p})\left (\frac{1}{n_{1}}+\frac{1}{n_{2}} \right )}}}[/tex]

Number of men = 0.37 × 150 = 55.5

Number of women = 0.25 × 120 = 30

[tex]\displaystyle \hat p = \frac{55.5 + 30}{150 + 120} = \frac{19}{60}[/tex]

Which gives;

[tex]\displaystyle Z=\frac{0.25-0.37}{\sqrt{\frac{19}{60} (1-\frac{19}{60} )\left (\frac{1}{120}+\frac{1}{150} \right )}} \approx -2.106[/tex]

The Z-statistic is approximately -2.106

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Help me with questions please​

Answers

Answer:

530.93 OR 530.9

Step-by-step explanation:

Since we know what the radius is 13 we replace R with 13 in the formula form area of a circle. area = [tex]\pi 13^{2}[/tex]

So now we multiply 13 squared or 13 x 13 which equals 169

Now we multiply pi and 169 which gives us 530.929 depending on what number you should round to give  us our answer.

530.93

530.9

which inequality represents this graph

Answers

Answer:

it would be the first one!

Answer:

z ≥ -10, which is the first answer.

Step-by-step explanation:

As you can see, on the graph there is a point filled in with a line pointing to the right. That would mean the sign would be ≥, as Z is GREATER than or EQUAL TO.

100 POINTS! show work or i report!

Michael purchases a refrigerator for $4,000. On average, it costs $120 per year in electricity to leave it running 24/7. What is the average yearly cost to own and operate this refrigerator at the end of 6 years?

Answers

Answer:

$4,720

Step-by-step explanation:

$4,000 fridge

$120/1 year

[tex]\frac{120}{1} = \frac{x}{6}[/tex]

120 * 6 = 720

720 / 1 = 720

$720 for 6 years

720 + 4,000 = 4,720

$4,720

Answer:

$4,720

Step-by-step explanation:

what is multiple integrals​

Answers

multiple integral, In calculus, the integral of a function of more than one variable. As the integral of a function of one variable over an interval results in an area, the double integral of a function of two variables calculated over a region results in a volume
multiple integral, In calculus, the integral of a function of more than one variable. As the integral of a function of one variable over an interval results in an area, the double integral of a function of two variables calculated over a region results in a volume.

Analyze the solution set of the following system by following the given steps. 2x + y = 5 3y = 9 − 6x Write each equation in slope-intercept form. y = -2 x + 5 y = -2 x + 3 What do the equations have in common? How are they different?

Answers

Step-by-step explanation:

Given the following systems of linear equations, 2x + y = 5, and 3y = 9 − 6x

Write each equation in slope-intercept form.

The slope-intercept form is: y = mx + b, where m = slope, and b = y-intercept.

2x + y = 5

Subtract 2x from both sides:

2x - 2x + y = - 2x + 5

y = -2x + 5 ⇒ This is the slope-intercept form, where the slope, m = -2, and the y-intercept, b = 5.

3y = 9 − 6x

Divide both sides by 3 to isolate y:

3y = − 6x + 3

[tex]\frac{3y}{3} = \frac{-6x + 9}{3}[/tex]

y = -2x + 3 ⇒ This is the slope-intercept form, where the slope, m = -2, and the y-intercept, b = 3.

What do the equations have in common?

y = -2x + 5

y = -2x + 3

These equations have the same slope, m = -2.

How are they different?

They have different y-intercepts.

y = -2x + 5  ⇒ The y-intercept is (0, 5), where b = 5.

y = -2x + 3  ⇒ The y-intercept is (0, 3), where b = 3.

The equations have the same slope but different y-intercepts, meaning they are parallel lines that run parallel to each other and are spaced vertically apart by a difference of 2 units.

Step 1: Write each equation in slope-intercept form.

Given system of equations:

1. 2x + y = 5

2. 3y = 9 - 6x

Slope-intercept form of an equation is y = mx + b, where m is the slope and b is the y-intercept.

Let's rewrite the equations in slope-intercept form:

1. 2x + y = 5

  Subtract 2x from both sides: y = -2x + 5

2. 3y = 9 - 6x

  Divide both sides by 3: y = -2x + 3

Step 2: The equations have the same slope (-2) but different y-intercepts 5 and 3.

The common slope (-2) indicates that the lines represented by these equations have the same steepness or inclination.

The difference in y-intercepts means that the lines are parallel and run parallel to each other.

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plzz help its so confusing

Answers

espero que sea de tu agrado la tarea que te estoy enviando

soy de peru

brillith2022

A new yo-yo factory is operating at 80%
of capacity and produces 4,000 yo-yos
daily. When the factory reaches 100%
of capacity, how many yo-yos should be
produced each day?

Answers

Answer:

5,000 yoyos per day

Step-by-step explanation:

80 x 1.25 = 100

4,000 x 1.25 = 5,000

4) Find the sum of 6\12 and 1\2 .A) 3\12 B) 9\12 C) 12\12 D) 13\12

Answers

Answer:

12/12

Step-by-step explanation:

6/12= 1/2

so 1/2+1/2 = One Whole and that the same thing as 12/12

Answer:

Answer is option C

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

What is the slope of the line that
passes through these two points?

Simplify your answer completely.
Enter

Answers

Answer:

2/6

Step-by-step explanation:

you move up to spaces and over six spaces

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