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Rasek [7]
4 years ago
5

A movie store marks up each DVD they buy by 21% before reselling it. Find the selling price of a DVD that cost the store $14.00.

Mathematics
1 answer:
Reptile [31]4 years ago
5 0

Answer:

Price $16.94

Step-by-step explanation:

$14 is the original price of the DVD

14 is 100%

so you take 21% and divide it by 100 and you get .21

then you multiply .21 by 14

then you get $2.94 and that is 21% of 14

$2.94 + $14 = $16.94

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What is the sum of the arithmetic series 18 sigma t-1 (5t-4)?
just olya [345]

Answer:

783

Step-by-step explanation:

We have to find the sum of Arithmetic series from t = 1 to t = 18 represented by (5t - 4)

The formula to find the sum of an Arithmetic series when first and the last term is known is:

S_{n}=\frac{n}{2}(a_{1}+a_{n})

Here,

n = Total number of terms = 18

a_{1} = First Term = 5(1) - 4 = 1

a_{18} = 18th Term = 5(18) - 4 = 86

Using the values in the above formula, we get:

S_{18}=\frac{18}{2}(1+86)\\\\ S_{18}=9(87)\\\\ S_{18}=783

Thus, the sum of 18 terms of the given Arithmetic Series is 783.

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3 years ago
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Answer:

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Step-by-step explanation:

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3 years ago
Explain how to find the x-intercept of the graph of y = 4x - 2.
Vlad1618 [11]

There are two ways to do this. The first of which is the algebraic method. Plug in y = 0 and solve for x.

y = 4x - 2

0 = 4x - 2 ... y is replaced with 0

4x-2 = 0

4x-2+2 = 0+2 ... we add 2 to both sides

4x = 2

4x/4 = 2/4 .... divide both sides by 4

x = 1/2

x = 0.5

The x intercept is x = 1/2 or x = 0.5

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

The other approach is to graph the equation y = 4x-2, and mark where the line crosses through the x axis. You should find it crosses through x = 1/2 or x = 0.5; the x intercept as an ordered pair would be (1/2, 0) or (0.5, 0)

side note: the equation y = 4x-2 goes through the points (0,-2) and (1,2). You find this by plugging in x = 0 and x = 1 respectively to find the corresponding y values.

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