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Vesna [10]
3 years ago
8

The owner of the Outdoor Furniture Center decides to use the 120% markup. At the end on

Mathematics
1 answer:
lana66690 [7]3 years ago
6 0

Answer: The total price of a bench is 1.008x.

Step-by-step explanation:

Since we have given that

Let the cost price be 'x'.

Mark up % = 120%

So, Mark up value would be

\dfrac{120}{100}x\\\\=1.20x

Discount % = 20%

Amount of discount is given by

\dfrac{20}{100}\times 1.2x\\\\=0.2\times 1.2x\\\\=0.24x

So, it becomes,

Amount after discount is given by

1.2x-0.24x\\\\=0.96x

Sales tax = 5%

Amount of sales tax would be

\dfrac{100+5}{100}\times 0.96x\\\\=\dfrac{105}{100}\times 0.96x\\\\=1.05\times 0.96x\\\\=1.008x

Hence, the total price of a bench is 1.008x.

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I dentist the slope and a point on the line
Anika [276]

Answer:

2/3 (0,-3) is one possible answer.

Step-by-step explanation:

y  -1 = 2/3(x-6)  We want to get this into the slope intercept form of a line.  We want it to be in the form y = mx + b.  Let's clear the fraction first by multiplying the whole equation through by 3.

3(y - 1) = 3[2/3(x - 6)]

3y -3 = 2(x -6)

3y - 3 = 2x -12

3y = 2x - 9  Now divide all the way through by 3 to get

y = 2/3x - 3  

y = mx + b.  The m part is the slope.  In this equation the slope is 2/3

There are in infinite amount of points on a line.  I do not know if they give you a picture or if you are just to create your own.  I am going to create a point that have x = 0.  I get to pick the point.  I could pick any number.  0 is just usually really easy.  So, if I substitute 0 for x I will get:

y = 2/3(0) - 3

y = 1  so my point is (0,-3)

Now that I think about it, I do not think that I would start out clearing the fraction even though it works.  I think that I would do it like this"

y - 1 = 2/3(x - 6)  Distribute the 2/3 through (x - 4) to get

y-1 = 2/3x -4  I can make -6 a fraction by putting it over 1.  Now we have 2/3(-6/1)  multiply across to get  -12/3.  A positive times a negative is a negative.  -12 divided by 3 is -4.

y - 1 = 2/3x -4   now add 1 to both sides.

y = 2/3x -3

6 0
1 year ago
The volume of a cube is 27000 cubic inches. What is the length of one side?
anyanavicka [17]

Given:

Volume of a cube = 27,000 in^3

(Note: A cube has equal sides)

The volume of a cube = a^3

So,

\begin{gathered} 27000=a^3 \\ \sqrt[3]{27000}\text{ = a} \\ a\text{ = 30 in.} \end{gathered}

Therefore, the lenght of one side is 30 inches.

4 0
1 year ago
A gym charges a one-time fee of $60 to join and membership dues of $25 per month
hoa [83]

Answer:

Step-by-step explanation:

C=25m plus 75

5 0
2 years ago
Please solve<br>x^2+6x+5=0​
Inessa [10]

Answer:

plus the other number and the other one

8 0
2 years ago
I need helpppppppp!!!
yarga [219]

Answer: i would say probably 3 or -3

I hope it helps

3 0
3 years ago
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