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3 years ago

The shop sold a Home Entertainment system to Leslie for $46 480. The shop made a profit of 12%

Mathematics

1 answer:

Amanda [17]3 years ago

8 0

Answer:

41 500

Step-by-step explanation:

100+12=112

112/100 * x = 46480

41500

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The base of a solid in the region bounded by the two parabolas y2 = 8x and x2 = 8y. Cross sections of the solid perpendicular to

Usimov [2.4K]

The two curves intersect at two points, (0, 0) and (8, 8):

$x^2=8y\implies y=\dfrac{x^2}8$

$y^2=\dfrac{x^4}{64}=8x\implies\dfrac{x^4}{64}-8x=0\implies\dfrac{x(x-8)(x^2+8x+64)}{64}=0$

$\implies x=0,x=8\implies y=0,y=8$

The area of a semicircle with diameter $d$ is $\dfrac{\pi d^2}8$ . The diameter of each cross-section is determined by the vertical distance between the two curves for any given value of $x$ between 0 and 8. Over this interval, $y^2=8x\implies y=\sqrt{8x}$ and $\sqrt{8x}>\dfrac{x^2}8$ , so the volume of this solid is given by the integral

$\displaystyle\frac\pi8\int_0^8\left(\sqrt{8x}-\dfrac{x^2}8\right)^2\,\mathrm dx=\frac{288\pi}{35}$

6 0

3 years ago

Help pleaseeeeeeeee

Doss [256]

Answer:9

Step-by-step explanation: im not really sure I kinda just guess and check, so like, 2/3 times 3 is 6/3 which is 2. so 6/2 is 3. 3 times 3 is nine.

4 0

3 years ago

I need help with this i need to find the grey area

IrinaVladis [17]

Answer:

y < 4x - 2

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

Please help me solve this problem

Stella [2.4K]

Answer:

See below

Step-by-step explanation:

Since all graphs pass throught the origin, they all have the form of:

y = ax², where a- coefficient

The coefficient of each graph's equation can be calculated based on the given pairs of points.

Each of them calculated for you and attached below.

8 0

2 years ago

In the data set below, what is the interquartile range? 7 1 5 5 9 Submit

Marizza181 [45]

Answer:

Step-by-step explanation:

The interquartile range is the difference between the upper quartile and the lower quartile.

First find the median.

The median is the middle value of the data set arranged in ascending order

1 5 5 7 9 ← data in ascending order

↑ median

The lower quartile is the middle value of the data to the left of the median. If there is not an exact middle then it the average of the values on either side of the middle.

1 5

↑ lower quartile = $\frac{1+5}{2}$ = 3

The upper quartile is the middle value of the data to the right of the median.

7 9

↑ upper quartile = $\frac{7+9}{2}$ = 8

Thus

interquartile range = 8 - 3 = 5

3 0

3 years ago