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nekit [7.7K]
3 years ago
15

4. A salesman has a basic salary and, in addition, recelves a commission which is a fixed percentage of his sales volume, when h

is weekly sales equal is Birr 1000, his total salary Is Birr 400. When his weekdy sales equal Birt 500, his total salary is Birr 300. Determine his basic salary and his commission percentage and express the relationship between sales and salary in the form of an equation.​
Mathematics
1 answer:
vekshin13 years ago
8 0

The commission is 20% of sales, the basic salary is $200 and the equation is y = 0.2x + 200

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more variables and numbers.

Let y represent the total sales for x weekly sales, m represent the commision and b represent the basic salary. Hence:

400 = 1000m + b  (1)

Also:

300 = 500m + b  (2)

Hence:

m = 0.2 = 20%, b = $200

The commission is 20% of sales, the basic salary is $200 and the equation is y = 0.2x + 200

Find out more on equation at: brainly.com/question/2972832

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The composite shape is made up of two identical triangles and two different rectangles. What is the are of the composite shape i
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Answer: 72 u^2

<h3>Explanation:</h3>

What we know:

  • Both triangles are identical
  • Both rectangles are different
  • There are values in units^2 given
  • There are right angles

How to solve:

We need to find the area of at least one of the triangles and double it. Then, we need to find the areas of both rectangles. Finally, we need to add these areas to find the total area. The final area will be represented in units squared (u^2)

<h2>Process:</h2>

Triangles

Set up equation                                                 A = 1/2(bh)

Substitute                                                           A = 1/2(4*3)

Simplify                                                               A = 1/2(12)

Solve                                                                   A = 6

Double                                                                     *2

                                                                           A = 12 u^2

Rectangles

Set up equation                                                 A = lh

Substitute                                                           A = (14)(3)

Simplify                                                               A = 42 u^2

Set up equation                                                 A = lh

Substitute                                                           A = [14-(4+4)](3)

Simplify                                                               A = (14-8)(3)

Simplify                                                               A = (6)(3)

Multiply                                                               A = 18 u^2

Total Area

Set up equation                                                 A = R1+R2+T

Substitute                                                           A = 42 + 18 + 12

Simplify                                                               A = 60 + 12

Solve                                                                   A = 72 u^2

<h3>Answer: 72 u^2</h3>
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