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Rzqust [24]
2 years ago
7

A stylist charges $20.00 per haircut. The total cost for running her home-based business is $4,000.00 per month, which includes

her salary of $3,000.00 per month. To cover all these expenses and her salary, she must do a minimum of 200 haircuts per month.
Because the cost of living has gone up, she wants to increase her salary to $3,500, making her total monthly expenses $4,500.00

What is the minimum price she must charge for each of the 200 haircuts so she can cover this increased salary?
Mathematics
1 answer:
vesna_86 [32]2 years ago
4 0

Answer:

$22.50

Step-by-step explanation:

New minimum price = x

Cost = 4,500 = 200*x

x = 4500/200 = 22.50

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Write an equation to represent the sum modeled in the following number line.
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Answer:

-6/4

Step-by-step explanation:

-13/4+7/4=

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Step-by-step explanation:

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What number has the same value as 12 tens
torisob [31]
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Given points A(-1, -2) and B(2, 4) where AP: BP=1:2, find the locus of point P.​
koban [17]

Answer:

x^2 + 4x + y^2 +8y  =  0

Step-by-step explanation:

Given

A = (-1,-2)

B = (2,4)

AP:BP = 1 : 2

Required

The locus of P

AP:BP = 1 : 2

Express as fraction

\frac{AP}{BP} = \frac{1}{2}

Cross multiply

2AP = BP

Calculate AP and BP using the following distance formula:

d = \sqrt{(x - x_1)^2 + (y - y_1)^2}

So, we have:

2 * \sqrt{(x - -1)^2 + (y - -2)^2} = \sqrt{(x - 2)^2 + (y - 4)^2}

2 * \sqrt{(x +1)^2 + (y +2)^2} = \sqrt{(x - 2)^2 + (y - 4)^2}

Take square of both sides

4 * [(x +1)^2 + (y +2)^2] = (x - 2)^2 + (y - 4)^2

Evaluate all squares

4 * [x^2 + 2x + 1 + y^2 +4y + 4] = x^2 - 4x + 4 + y^2 - 8y + 16

Collect and evaluate like terms

4 * [x^2 + 2x + y^2 +4y + 5] = x^2 - 4x + y^2 - 8y + 20

Open brackets

4x^2 + 8x + 4y^2 +16y + 20 = x^2 - 4x + y^2 - 8y + 20

Collect like terms

4x^2 - x^2 + 8x + 4x + 4y^2 -y^2 +16y + 8y  + 20 - 20 =  0

3x^2 + 12x + 3y^2 +24y  =  0

Divide through by 3

x^2 + 4x + y^2 +8y  =  0

3 0
3 years ago
What are the steps to solving this problem K + 8\5 = 1k
DaniilM [7]

-- Subtract K from each side of the equation.

8/5 = 0

-- There is no value for K that can make this a true statement. So the original equation has no solution.

8 0
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