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3 years ago

If there is a discount of 40% on an article costing #7000, then the price after discount is

Mathematics

1 answer:

sergejj [24]3 years ago

6 0

Answer:

<h3>The answer is # 4200</h3>

Step-by-step explanation:

A discount of 40% was allowed on the price

To find the price after the discount first calculate the discount and subtract it from the original price

That's

$\frac{40}{100} \times 7000$

= 2800

So the price after the discount is

#7000 - #2800

Which is

Hope this helps you

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Need please help with the answer

Sladkaya [172]

Step-by-step explanation:

the volume of a rotating solid out of an xy area in a certain interval is pi times the integral of that area squared (because we are emulating adding the volumes of cylinder slices) in that interval along the given axis.

if that area is defined as the difference between 2 curves, then that difference (of the squares) has to be integrated.

the "outer" curve is y = x² + 3 = R, because it has always the larger y values compared to y = 2x + 1 = r.

the volume of an outer cylinder slice is

pi × R² × dx

and of an internal cylinder slice is

pi × r² × dx

therefore, the volume of the difference "washer" cylinder is

pi×R²×dx - pi×r²×dx = pi×(R² - r²)×dx

and now integrating the infinitely thin washers across the interval [0, 2].

R² = (x²+3)² = x⁴ +6x² + 9

r² = (2x+1)² = 4x² + 4x + 1

R² - r² = x⁴ + 2x² - 4x + 8

the integral of (R² - r²)dx :

1/5 x⁵ + 2/3 x³ - 4/2 x² + 8x = 1/5 x⁵ + 2/3 x³ - 2x² + 8x

in the interval of [0, 2] that gives us

1/5 2⁵ + 2/3 2³ - 2×2² + 8×2 - 0 = 32/5 + 16/3 - 8 + 16 =

= 32/5 + 16/3 + 8 = 96/15 + 80/15 + 120/15 = 296/15

and as final step multiplying this by pi :

296pi/15 = 61.99409503... units³ ≈ 62 units³

3 0

2 years ago

Find the Domain: Show all steps <br><br> h(x)=2(x+5)^2-5

kobusy [5.1K]

Answer:

The domain is all real numbers (see the explanation)

Step-by-step explanation:

we have

$h(x)=2(x+5)^2-5$

This is a vertical parabola open upward (the leading coefficient is positive)

The vertex represent a minimum

The vertex is the point (-5,-5)

we know that

The domain of a function is the set of all possible values of x

The range of a function is the complete set of all possible resulting values of y, after we have substituted the domain.

In this problem

The domain is the interval (-∞,∞)

The domain is all real numbers

The range is the interval [-5,∞)

All real numbers greater than or equal to -5

3 0

3 years ago

Raina wants to pour 15.33 grams of salt into a container. So far, she has poured 12.75 grams. How much more salt should Raina po

Ronch [10]

Answer:

15.33-12.75=2.58 so she needs to pour 2.58 grams of salt.

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

The sporting goods store sells 6 different brands of tennis rackets and 4 different brands of tennis balls. If Amanda buys one b

monitta

Answer:

Step-by-step explanation:

There are 6 different types of rackets and 4 different types of balls.

To determine the number of different combinations

6 rackets * 4 balls

24 combinations

7 0

3 years ago

Your teacher has disabled instant marking. Your marks will appear after the due date.

allsm [11]

Answer:

$A=384\ cm^2$

Step-by-step explanation:

Let the sides of a triangle be 6x,8x and 10x.

Perimeter of the triangle, P = 96 cm

We need to find the area of the triangle.

P = sum of all sides

6x+8x+10x = 96

24x = 96

x = 4

Sides are :

6x = 6(4) = 24 cm

8x = 8(4) = 32 cm

10x = 10(4) = 40 cm

Area,

$A=\dfrac{1}{2}\times b\times h\\\\A=\dfrac{1}{2}\times 24\times 32\\A=384\ cm^2$

So, the area of the triangle be $384\ cm^2$ .

5 0

3 years ago

If there is a discount of 40% on an article costing #7000, then the price after discount is ​

If there is a discount of 40% on an article costing #7000, then the price after discount is