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2 years ago

The marked price of an article is Rs.2080. After allowing d% discount and levying

Mathematics

1 answer:

mash [69]2 years ago

7 0

Answer:

13%

Step-by-step explanation:

<u>Given:</u>

MP = 2080
Discount = d%
VAT = (d-2)%
Cost = 1997.84

<u>Apply discount:</u>

2080 - d% = 2080*(1 - 0.01d)

2080*(1 - 0.01d) + (d - 2)%
2080*(1 - 0.01d) * (1 + (d -2)/100)
2080*(1 - 0.01d) * (0.98 + 0.01d) = 1997.84
(1 - 0.01d)(0.98 + 0.01d) = 1997.84/2080
0.98 + 0.01d - 0.0098d - 0.0001d² = 0.9605
- 0.0001d² + 0.0002d + 0.98- 0.9605 = 0
0.0001d²- 0.0002d - 0.0195 = 0
d² - 2d + 195 = 0

<u>Solving the quadratic equation we get:</u>

d = 15

VAT rate = 15 - 2 = 13%

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aksik [14]

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1. We must use the next formula to find the slope

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Where (x1, y1) and (x2, y2) are the points.

Now, replacing the points in the formula for the slope

$m=\frac{14-11}{8-2}=\frac{3}{6}=\frac{1}{2}$

2. We must replace the slope and one of the points in the next formula

$y-y_1=m(x-x_1)$

Now, replacing the slope and the point (2, 11)

$\begin{gathered} y-11=\frac{1}{2}(x-2) \\ \end{gathered}$

3. We must delete the parenthesis and solve the equation for y

$\begin{gathered} y-11=\frac{1}{2}x-\frac{1}{2}\cdot2 \\ y-11=\frac{1}{2}x-1 \\ y=\frac{1}{2}x-1+11 \\ y=\frac{1}{2}x+10 \end{gathered}$

ANSWER:

$y=\frac{1}{2}x+10$

8 0

11 months ago

In the triangle below,<br> y = [ ? ] cm. Round to the<br> nearest tenth.

sattari [20]

Answer:

The answer is

Step-by-step explanation:

Since the triangle is a right angled triangle we can use trigonometric ratios to find y

To find y we use cosine

cos∅ = adjacent / hypotenuse

From the question

y is the adjacent

The hypotenuse is 15

So we have

$\cos(35) = \frac{y}{15} \\ y = 15 \cos( 35 ) \\ y = 12.28728$

We have the final answer as

<h3>12.3 cm to the nearest tenth</h3>

Hope this helps you

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2 years ago

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topjm [15]

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2 years ago

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melamori03 [73]

Answer:

D 6

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