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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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Reil [10]

Answer: Ratio of black horses to all horses = 59/62

Step-by-step explanation:

Total number of horses = 62

Total number of white horses = 3

Assuming that the rest horses are black. That means the total number of black horses would be 62-3 =59. So there are 59 black horses and there are 3 white horses.

Ratio of black horses to all horses will be the total number of black horses / the total number of horses.

Ratio of black horses to all horses

= 59/62 or 59:62

It can also be expressed in decimals which will become

0.952

5 0
3 years ago
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Answer:

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8 0
3 years ago
Find the cost function for the marginal cost function. C(x) =0.06 e 0.08x; fixed cost is $10 C(x)=_______
sashaice [31]

Answer:

The cost function for C(x) = 0.06\cdot e^{0.08\cdot x} is c(x) = 0.75\cdot e^{0.08\cdot x}+10.

Step-by-step explanation:

The marginal cost function (C(x)) is the derivative of the cost function (c(x)), then, we should integrate the marginal cost function to find the resulting expression. That is:

c(x) = \int {C(x)} \, dx + C_{f}

Where:

C_{f} - Fixed costs, measured in US dollars.

If we know that C(x) = 0.06\cdot e^{0.08\cdot x} and C_{f} = \$\,10, then:

c(x) = 0.06\int {e^{0.08\cdot x}} \, dx + 10

c(x) = 0.75\cdot e^{0.08\cdot x}+10

The cost function for C(x) = 0.06\cdot e^{0.08\cdot x} is c(x) = 0.75\cdot e^{0.08\cdot x}+10.

3 0
3 years ago
Ben, sean, alexis and samantha divide a $47 so that ben and sean together got $27, ben and alexis got $25, and ben and samantha
ELEN [110]

Answer:

$11

Step-by-step explanation:

Let Ben has b,

sean has s

alexis has a

samantha has s

Money.

We need to write the words into equations and solve as we can.

b + s + a + s = 47

b + s = 27

b + a = 25

b + s = 23

We need to find a.

Let's put 2nd equation in first, to get:

27 + a + s = 47

a + s = 20 ---------- 5th equation

Now let's solve 4th equation for b and put it into 3rd equation:

b + s = 23

b = 23 - s

Putting in 3rd equation:

23 - s + a = 25

a - s = 2 ---------------6th equation

Now, add up 5th and 6th equation to get a:

a + s = 20

a - s = 2

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

2a = 22

a = 22/2 = 11

Alexis got $11

8 0
3 years ago
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