Mike is a sales person in a retail carpet store he paid 500 base salary per month plus 5% commission on sales over 10,000. His sales this month were 23,750 his total deductions were 152.75 What is the total amount on which mike could earn commission? What was the total amount of mikes commission? What was mikes base salary plus commission? What's mike net pay?

Answer:

4f+9  or 4×f +9

Step-by-step explanation:

This is what the equation would look like. (: I hope that helps!

Answer:

Step-by-step explanation:

4π

As shown in the diagram, triangle XYZ is a right triangle. Therefore, its area (A) is given by:

A = [tex]\frac{1}{2}[/tex] x b x h      -------------(i)

Where;

A = 18[tex]\sqrt{3}[/tex]

b = XZ = base of the triangle

h = YZ = height of the triangle = 6

Substitute these values into equation(i) and solve as follows:

18[tex]\sqrt{3}[/tex] =  [tex]\frac{1}{2}[/tex] x b x 6

18[tex]\sqrt{3}[/tex] =  3b

Divide through by 3

6[tex]\sqrt{3}[/tex] =  b

Therefore, b = XZ = 6[tex]\sqrt{3}[/tex]

Now, assume that the circle is centered at O;

Triangle XOZ is isosceles, therefore the following are true;

(i) |OZ| = |OX|

(ii) XZO = ZXO = 30°

(iii) XOZ + XZO + ZXO = 180°   [sum of angles in a triangle]

=>  XOZ + 30° + 30° = 180°

=>  XOZ + 60° = 180°

=>  XOZ = 180° - 60°

=>  XOZ = 120°

Therefore we can calculate the radius |OZ| of the circle using sine rule as follows;

[tex]\frac{sin|XOZ|}{XZ} = \frac{sin|ZXO|}{OZ}[/tex]

[tex]\frac{sin120}{6\sqrt{3} } = \frac{sin 30}{OZ}[/tex]

[tex]\frac{\sqrt{3} /2}{6\sqrt{3} } = \frac{1/2}{|OZ|}[/tex]

[tex]\frac{1}{12} = \frac{1}{2|OZ|}[/tex]

[tex]\frac{1}{6} = \frac{1}{|OZ|}[/tex]

|OZ| = 6

The radius of the circle is therefore 6.

Now, let's calculate the length of the arc XZ

The length(L) of an arc is given by;

L = θ / 360 x 2 π r          ------------------(ii)

Where;

θ = angle subtended by the arc at the center.

r = radius of the circle.

In our case,

θ = ZOX = 120°

r = |OZ| = 6

Substitute these values into equation (ii) as follows;

L = 120/360 x 2π x 6

L = 4π

Therefore the length of the arc XZ is 4π

Answer:

10!

Step-by-step explanation:

Basically you can see that one side of the "triangle" is 3, and the other is 9 (based on the distance, assuming that the line would be a hypotenuse). From here all you have to do is square 3 and square 9, add them, and find the square root

√(9+81) = 10

Answer:

Radius= 9 in.

Circumference= 2π*9=56 (rounded)

So you'd get at least 56 pieces in the crust of the pizza.

Divide the answer by 8 to get the average number of piece per slice.

56/8

= 7 pieces approximately.

thenks and pls mark me brainliestt :))

Answer:

7:07

Step-by-step explanation:

he started at 7:07 because if you take away 5 minutes from 8:12 you get 8:07 and we all know 60 minutes is an hour so 8:07 minus an hour is 7:07 hope this helps

Answer:

The table represents a function and the slope is -1/2

Step-by-step explanation:

Here, we want to know if the given table is a function

For a relation to be a function, no two y values have same x value

however, 2 x values can have same y value

Looking at the table, we can conclude that what we have is a function

To find the slope, we select any two points and apply the slope formula

m = (y2-y1)/(x2-x1)

(x1,y1) = (6,-2)

(x2,y2) = (-2,2)

m = (2 -(-2))/(-2-6) = 4/-8 = -1/2

Answer:

300

Step-by-step explanation:

Answer:

V≈9424.78in³

Step-by-step explanation:

Solution

V=πr2h=π·102·30≈9424.77796in³

Answer:

11

Step-by-step explanation:

All you have to do is plug in a. In this case, a=3.

21/a+4

21/(3)+4

21/3+4

7+4

11

If this helps please mark as brainliest

Answer:

11

Step-by-step explanation:

Follow the order of operations, PEMDAS.

First, divide, then add. Plug in 3 for a in the given expression:

21/(3) + 4

Divide, then add:

(21/3) + 4

7 + 4 = 11

11 is your answer.

~

Answer:

10

Step-by-step explanation:

Answer:

68, 97, 81, 96, 84.2

Step-by-step explanation:

16. The minimum of the data is the smallest value. Take the smallest stem value and find its smallest leaf value, you'll get 68.

17. Take the largest stem value and find its largest leaf value. That's 97.

18. Counting the number of values, there are 10 values here. So you need to look at the mean of the 5th and 6th values. (80 + 82) ÷ 2 = 81

19. Mode: the most frequently occurring value. All values in this dataset are unique except for the two 96s in the last row, hence 96 is the mode.

20. Add all values and divide your result by the number of values.

(68+75+77+79+80+82+92+96+96+97) ÷ 10 = 84.2

Hence 84.2 is your mean.

Answer:

Hello There!!

Step-by-step explanation:

The answer is=>b.Salary.

hope this helps,have a great day!!

~Pinky~

In the given question, the form of payment is salary.

When someone is paid a certain amount of money for his/her work on a daily, weekly, monthly, or yearly basis is called salary.

Given, I'm getting paid a sum of $42000 per year.

It is not a commission. Because, I'm not getting paid any form of compensation here.

The paid amount is fixed here. Therefore, it is not a wage.

It is not a pension. Because, I'm not getting paid after the retirement.

Learn more about salary here:

https://brainly.com/question/14930294

#SPJ3

Answer:

hope this helps

Step-by-step explanation:

Strawberry = 14

blueberry = 14

cherry = 7

chocolate = 7

apple = 14

Answer:

Jo turned around and walked back to the starting point

8 km/hr

Step-by-step explanation:

4 km/one-half hr = 8 km/hr

Step-by-step explanation:

A)

If we look at the graph at 10 mins its evident that there has been some movement meaning Joes has moved 1km (as we can see in the graph) away from the starting point.

B)

For the last 30 mins of the graph we can see some changes.

so Joe started at 30 mins and ended at 60mins so there is a difference of 30 mins. In those 30 mins Joe moved from 0km to 4km. Meaning that Joe moved at 4km in 30 mins.

We are going to work this out in KPH. Since we have 30 mins and the unit we are using to measure his speed is measured in hours, we need to double it along with the kilometres he moved so it stays fair and constant. so we will have 8km and 60 min (1 hour). Therefore Joe moved at 8kph.

Hope this helps

Answer:

x = 36

Step-by-step explanation:

180 - 126 = 54

90 + 54 + x = 180

144 + x = 180

180 - 144 = x

x = 36

Have a nice day!

Answer:

The area of the shape shown is [tex]12.5units^2[/tex]

Step-by-step explanation:

So the formula for solving the area of trapezoids is:

(top base + bottom base) x height ÷ 2

In this case, the equation is:

(7.5 + 2.5) x 2.5 ÷ 2

Let's solve it!

(7.5 + 2.5) x 2.5 ÷ 2 =

10 x 2.5 ÷ 2 =

25 ÷ 2 =

12.5

Which will get 12.5 as an answer.

Since the unit isn't listed, we will just write [tex]unit^2[/tex] instead of [tex]cm^2[/tex] or [tex]in^2[/tex]

Answer:

12.5

Step-by-step explanation:

I split the shape into two shapes: one square, and two identical right triangles

The area of the square is a^2 so 2.5^2 so 6.25

The area of the right triangle A=ab/2 we know one side 2.5 and the other side is just 7.5-2.5 and then halved so also 2.5.

The area of this triangle is 3.125*2 because there are 2 then +6.25

=12.5

Edit: Just realized there was a much simpler way to do this lol I just normally can't do math the regular way. You can just do the area of the trapezoid

Answer:

5) 1: 63

  2: 117

  3: 63

  4: 117

  5: 63

  6: 117

  7: 63

  8: 117

Step-by-step explanation:

3/12=1/4

1/4×150=37.5 then round

Answer=38

Answer: 106 km/h,2.5 hr

Step-by-step explanation:

Given

The train travels 315 km in the same time car travels 265 km

The average speed of the train is 20 kmph faster than car

Suppose, speed of the car is v and it travels 265 km in t hours

[tex]\therefore \dfrac{315}{v+20}=\dfrac{265}{v}\\\\\Rightarrow 315v=265\left (v+20\right)\\\\\Rightarrow 315v=265v+5300\\\Rightarrow 50v=5300\\\Rightarrow v=106\ km/h[/tex]

Time taken to travel is

[tex]\Rightarrow t=\dfrac{265}{106}}\\\\\Rightarrow t=2.5\ h[/tex]

Step-by-step explanation:

Find angle W first:

37 + 93 + W = 180 ---> W = 50°

Use sine law to find the length w:

w/(sin 50) = 31/(sin 37)

w = 31(sin 50/sin 37)

= 39.5

Answer:

B. 23/5 simplified to 4 3/5

Answer:

B. 23/5

Step-by-step explanation:

4 (whole number) ×5 (denominator) =20

20 + 3 (numerator) = 23

Ans = 23/5

Answer:

HELLLLLLLLLLLLLLLLLL NO

Step-by-step explanation:

Answer:

where is the other dot plot

Answer:

B, D, and E

Step-by-step explanation:

Answer:

5th Avenue and 8th street

Step-by-step explanation:

The points are (3,5)  and (9,14) for their locations where x= avenue and y= street.

The distance is 1/3 so it can be calculated in the following way

1/3 of ( 9-3) +3 = 1/3*6 + 3= 2+3= 5

1/3 of (14-5) + 5= 1/3*9 + 5= 3+5=8

5th Avenue and 8th street

Pierre and Maria will meet at 5th Avenue and 8th street

Answer:

C) {6+√43, 6-√43}

Step-by-step explanation:

Applying,

x = [-b±√(b²-4ac)]/2a.................... Equation 1

From the question,

Given: a = 1, b = -12, c = 7

Substitute these values into equation 1

x = [-(-12)±√(-12²+4×1×7)]/2×1

x = [12±√(144+28)]/2

x = [12±√172]/2

either,

x = (12-√172)/2

x = (12-2√43)2

x = (6+√43)

or

x = (12+√172)/2

x = (12+2√43)/2

x = (6+√43)

Hence,

The right answer is C). {6+√43, 6-√43}

Answer:

x = 3[tex]\frac{1}{3}[/tex]

Step-by-step explanation:

4 + 6 = 10

[tex]\frac{2}{6}[/tex] = [tex]\frac{x}{10}[/tex]

6x = 20

x = 3[tex]\frac{1}{3}[/tex]

Answer:

4  3/11

Step-by-step explanation:

Find the function of the first two points

slope = delta y/delta x

slope = y1-y2/x1-x2

slope = (11-(-1))/(-10-1)

slope = 12/-11

Find the y intercept

y=(-12/11)x+b

-1 = (-12/11)*-1+b

-1 = 12/11+b

-23/11=b

y=(-12/11)x-23/11

Plug in x to find y

y=(-12/11)2-23/11

y= 4  3/11

Answer:

BC = 205.8 feet

Step-by-step explanation:

We only have one side, DB, so we have to use the given angles rather than the Pythagorean theorem.

Answer:

BC ≈ 205.8 ft

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos71° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{BD}{BC}[/tex] = [tex]\frac{67}{BC}[/tex] ( multiply both sides by BC )

BC × cos71° = 67 ( divide both sides by cos71° )

BC = [tex]\frac{67}{cos71}[/tex] ≈ 205.8 ft ( to the nearest tenth )

Answer:

20

Step-by-step explanation:

Answer:

600

Step-by-step explanation: