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3 years ago

A company uses a variable percentage markup of 35% .if the total cost of a product is $15,what is its selling price

1 answer:

monitta3 years ago

7 0

The percentage mark up refers to the amount of money added to the cost price of goods to cover for the overheads and profit. In this case, the mark up price is 35% of the cost price, therefore: (35%=0.35)

Mark up = 0.35 * $15

Mark up = $5.25

However this is not yet the selling price. The selling price is the mark up value plus the original cost price, therefore:

Selling price = $5.25 + $15

Selling price = $20.25

Therefore the product is sold at $20.25.

Alternate: Another way to solve this is to directly multiply the cost price by 135%, that is: (135% = 1.35)

Selling price = 1.35 ($15)

Selling price = $20.25

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The constraints of a problem are listed below. What are the vertices of the feasible region?

Grace [21]

The vertices are the intersections between the lines.

1) line x + y = 5 and y = 3:

y = 3 => x + 3 = 5 => x = 5 - 3 => x = 2

=> vertix = (2,3)

2) line x + y = 5 and y = 0

=> y = 0 => x + 0 = 5 => x = 5

=> vertix = (5,0)

3) line x + y = 5 and x = 0

=> 0 + y = 5 => y = 5

=> (0,5) ------> this is not a vertix because it is above the line y = 3

4) line y = 3 and x-axis

=> vertix = (0,3)

5) x-axis and y-axis => origin => vertix = (0,0)

So, there are four vertices: (0,0), (5,0), (2,3) and (0,3)

Answer: That is the first option:(0, 0), (0, 3), (2, 3), (5, 0)

8 0

3 years ago

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The sum of three consecutive odd numbers is 69. What are the three numbers?

n200080 [17]

Answer:

21, 23, 25

Step-by-step explanation:

Ok, so this one may seem a little tricky, so I'll try to explain it as best as I can. :)

So because they are consecutive odd numbers, that means they are odd numbers that are one after the other. This means each number is 2 apart from the next. So by using this, we know that there is a difference of 6 between the highest and lowest number. Now let's try and make an equation:

3o + 6 = 69

Now in order to get O by itself we have to subtract 6 from both sides:

3o = 63

Now we just have to divide by three on both sides:

o = 21

So now, we know that the lowest number is 21, but we have to add 2 to get 23, and then another 2 to get 25.

Hope this helps :)

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3 years ago

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The question is At the pet fair, there were42 dogs and 35 cats. The pets must be split into small groups so that there are the s

Lelechka [254]

42=2*3*7
35=5*7
their GCF is 7, so the cats and dogs must be split into 7 groups
42/7=6, and 35/7=5, so there are 6 dogs and 5 cats in each group.

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3 years ago

Triangles are congruent if they have the same ____.

Harrizon [31]

D. Size and shape. Congruent essentially means that they’re the same in all ways.

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3 years ago

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I am confused on numbers 25 and 29, the instructions are at the top.

kvasek [131]

#25 is fairly simple. Plug in -4 and 3 into the equation, and the extraneous root will be the one that does not work.
$\sqrt{12-(-4)} = \sqrt{16} = \frac{+}{}4$
Extraneous root in this case is positive four since +4≠-4
 $\sqrt{12-3} = \sqrt{9} = \frac{+}{}3$
In this case it's negative 3, since -3≠3

#29 can be turned into a quadratic equation.
$x= \sqrt{2x+3}$
Square both sides to get
$x^{2}=2x+3$
Then bring the 2x+3 to the other side, setting the quadratic equal to zero.
$x^{2}-2x-3=0$
Factor to find that it's equivalent to
(x-3)(x+1)=0
Therefore x is equal to positive 3 and negative 1. Plug both back into the original equation. Whichever does not work is the extraneous root, and the answer is the one that does.
 $x= \sqrt{2x+3}$
 $3= \sqrt{2(3)+3}$
 $3= \sqrt{9}$
Extraneous root would be negative 3.

 $-1= \sqrt{2(-1)+3}$
 $-1= \sqrt{1}$
Extraneous root would be positive 1.

Your answers are positive 3 and negative 1.
Extraneous roots are negative 3 and positive 1.

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3 years ago