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3 years ago

Someone purchased a wallet for $22. 51. What number represents the effect on the stores earnings?

Mathematics

1 answer:

icang [17]3 years ago

5 0

$22.51 is the number that represents the effect on the stores earnings

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If 30,000 cm2 of material is available to make a box with a square base and an open top, find the largest possible volume of the

Ilya [14]

Answer:

The largest possible volume of the box is 500,000 cm³

Step-by-step explanation:

Let the a side of the square base = x

let the height of the box, = h

volume of the box, v = hx²

Surface area of the box, A = 4hx + x²

30000 = 4hx + x²

make h the subject of the formula;

$4hx + x^2 = 30000\\\\4hx = 30000 -x^2\\\\h = \frac{30000 -x^2}{4x}$

Volume of the box, V = hx²

$V = h*x^2 = (\frac{30000-x^2}{4x} )x^2\\\\V = \frac{30000x^2 -x^4}{4x} \\\\V = \frac{30000x^2}{4x} - \frac{x^4}{4x} \\\\V = 7500x- \frac{x^3}{4}$

At maximum value of V, dv/dx = 0

$\frac{dv}{dx} = 7500 - \frac{3}{4} x^2\\\\0 = 7500 - \frac{3}{4} x^2\\\\\frac{3}{4} x^2 = 7500\\\\x^2 = 10000\\\\x = \sqrt{10000} \\\\x = 100$

Substitute in the value of x to determine the maximum volume, V;

$V = 7500x - \frac{x^3}{4} \\\\V = 7500(100) - \frac{1}{4} (100)^3\\\\V = 750000- 250000\\\\V = 500,000 \ cm^3$

Therefore, the largest possible volume of the box is 500,000 cm³

4 0

4 years ago

Pls help bruh brainliest it’s for a grade PLS

inn [45]

A but I’m not 100% sure

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3 years ago

72 increased by a quarter is the same as ——-reduced by a tenth

grandymaker [24]

A quater of 72 is 18. So 18 + 72 =90. A tenth of 90 is 9 so... 90 - 9 = 81

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3 years ago

In how many ways can 8 diplomats be seated at a round table?<br><br> A)40,320<br> B)5,040<br> C)720

Tanzania [10]

Answer:

B)5,040

Step-by-step explanation:

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3 years ago

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I have 3 biscuits and you ask me 1. how many would I have left?

MaRussiya [10]

Answer:

Step-by-step explanation:

because i have a feeling you would not give me a biscuit if u would it would be 2

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3 years ago