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Helen [10]
3 years ago
14

In a small company with 20 employees, 10 employees make $80,000/yr, 6 employees make $ 150,000/yr the 4 highest-paid employees a

ll make $220,000/yr. Calculate the average salary in the company
Mathematics
1 answer:
Elis [28]3 years ago
8 0

Answer:

$129 000/yr

Step-by-step explanation:

Weighted average is used to answer this question.

<em>total employees are 20</em>

10 employees make 80 000

<em>total earning for 10 employees </em>= 80 000 * 10 = 800 000 (multiplying)

6 employees make 150 000

<em>total earning for 6 employees= </em>150 000 * 6 =900 000<em> (multiplying)</em>

4 employees make 220 000

<em>total earning for 4 employees </em>= 220 000 * 4 = 880 00<em>0 (multiplying)</em>

<em />

<em>To calculate weighted average all the totals are added and then divide by total number of employees.</em>

<em>weighted average =</em> (800 000 + 900 000 + 880 000)/20

<em />

<em>weighted average = </em>2580000/20

<em />

<em>Weighted average = </em>129 000

<em />

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Please help!!!!! Math is very confusing and this makes no sense
vodomira [7]

The missing figure is attached down

The length around the outside of the track is about 431 feet

Step-by-step explanation:

A running track has the shape of a rectangle capped with a semicircle on each end

  • The track is 80 feet wide
  • The rectangular portion of the track is 90 feet tall

We need to estimate the length around the outside of the track

The length of the outside the track is the length of two semi-circle and two straight lengths of the rectangle

∵ The track is 80 feet wide

- From the figure the width of the track is the diameter of the

  semi-circles

∴ The diameter of each semi-circle = 80 feet

∵ The radius of a circle is half its diameter

∴ The radius of each semi-circle = \frac{1}{2} × 80 = 40 feet

∵ The length of a circle = 2πr

∴ The length of a semi-circle = πr

∴ The length of two semi-circle = 2 × πr

- Substitute r by 40

∴ The length of two semi-circle = 2 × π(40) = 80π feet

∵ The rectangular portion of the track is 90 feet tall

∴ The length of the rectangle = 90 feet

∴ The two straight parts of the track = 2 × 90 = 180 feet

- Add the length of the two semi-circles and the two straight

   parts to find the length of the track

∵ Length of the track = 80π + 180

- Substitute π by 3.141

∴ Length of the track = 80(3.141) + 180

∴ Length of the track = 431.28 ≅ 431 feet

The length around the outside of the track is about 431 feet

Learn more:

You can learn more about the circle in brainly.com/question/1952668

#LearnwithBrainly

5 0
3 years ago
Quadrilateral ABCD is inscribed in this circle. What is the measure of angle c?
alexandr402 [8]
3x+x+20 = 180
4x = 180-20
4x = 160
x = 40

×+20+3x+2x+38+C=360
40+20+3×40+2×40+38+C=360
40+20+120+80+38+C=360
298+C=360
C=360-298
C =62°
4 0
3 years ago
HELP AND PLEASE PROVIDE A FULL EXPLANATION THANK YOU
Marrrta [24]
Let us consider the distance between kensington and greenwich be x
since the given figure is a right angled triangle,we use pythagoras theorem to find the answer

so by pythagoras theorem
x^2= 20^2+40^2
x^2=400+1600
x^2=2000

x=root of 2000=20root 5mi
answer is option (b)
8 0
3 years ago
An assembly line produces 2 toasters per minute. It is 2:00pm and the line has finished 560 out of its goal of 900 for the day.
LenaWriter [7]

Answer:

I won't stop the line for a half hour break.

Step-by-step explanation:

<u>Proportions</u>

One quantity A is said to be proportional to other B if A can always be obtained by multiplying or dividing B by any constant number. Numbers {4,8,12} are proportional to {2,4,6} because they can be computed as twice their value

.

There is a situation described in the problem where we need to know if there will be enough time to produce the 900 toasters (the goal for the day) when the assembly line is stopped by half an hour.

Actual time: 2:00 pm

Final time: 5:00 pm

Rate of production: 2 toasters/minute

Actual production: 560 toasters

Updated goal: 900-560 = 340 toasters  

Those 340 toasters must be produced in the remaining 3 hours (180 minutes) of work. If the assembly line stops for half an hour (30 minutes), there will be only 150 minutes to finish the goal production. At a rate of 2 toasters/minute, there will be 2*150 = 300 toasters produced. But we need to produce 340 more toasters, so that break cannot be granted or we'll be 40 toasters under goal.

It the line keeps producing for 180 minutes, it would produce 2*180 = 360 toasters, 20 more than the goal.

Note: The maximum break time that can be granted is 20/2 = 10 minutes

4 0
3 years ago
Urgent please help..
Vadim26 [7]

Answer:

Step-by-step explanation:

\text{The yellow area is half of the area of the square minus the area of the circle.}\\ \\ A_s=6^2=36\\ \\ A_c=\pi r^2=\pi 3^2=9\pi \\ \\ A_y=\frac{1}{2}(36-9\pi)\approx 3.9in^2

7 0
2 years ago
Read 2 more answers
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