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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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Solution:

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\begin{gathered} A=\frac{\theta}{360\degree}\times\pi r^2 \\ Where\text{ r}=AB=6\text{ units} \\ A=9\pi\text{ square units} \end{gathered}

Substitute the values of the variables into the formula above to find the angle, θ, subtended by the sector.

\begin{gathered} 9\pi=\frac{\theta}{360\degree}\times\pi\times6^2 \\ Crossmultiply \\ 9\pi\times360=36\pi\times\theta \\ 3240\pi=36\pi\theta \\ Divide\text{ both sides by 36}\pi \\ \frac{3240\pi}{36\pi}=\frac{36\pi\theta}{36\pi} \\ 90\degree=\theta \\ \theta=90\degree \end{gathered}

To find the length of the arc, s, the formula is

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Slav-nsk [51]

Answer:

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Step-by-step explanation:

For this problem we have the following dataset:

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The first step is sort the values on increasing order and we got:

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The best answer would be:

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