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2 years ago

Store display volume of each cube shaped box is 125 cubic inches of the display has six layers of boxes how high is the display

Mathematics

1 answer:

Doss [256]2 years ago

8 0

Answer:

30 inches

Step-by-step explanation:

We know that the formula for calculate the volume of a cube is:

∨=8³

Where "s" is the length of each side.

Since the volume of each cube-shaped box is 125 cubic inches, we can find "s":

125 in³=8³

∛125 in³=8

8=5 in

We know that the display has six layers of boxes, then , to calculate the height of the display, we can multiply the value of "s" obtained before by 6.

Then:

height= (5 in)(6)=30 in

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serg [7]

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p=q²/r has a maximum value when q=5.465 and r=17.735 and a minimum value when 5.455 and r=17.745.
So the range of p is 1.6769 to 1.6840. When we have 2 decimal places we get p=1.68 which accommodates the maximum and minimum values of the range. So 2 decimal places is a suitable degree of accuracy, or we could say 3 significant figures.

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2 years ago

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Beth will borrow $10,000 which earns 4% compound interest and she will repay that amount in 20 years. How much interest was earn

Serggg [28]

Answer:

$I=\$11,911.23$

Step-by-step explanation:

we know that

The compound interest formula is equal to

$A=P(1+\frac{r}{n})^{nt}$

where

A is the amount that she will repay

P is the amount borrowed

r is the rate of interest in decimal

t is Number of Time Periods

n is the number of times interest is compounded per year

in this problem we have

$t=20\ years\\ P=\$10,000\\ r=0.04\\n=1$

substitute in the formula above

$A=10,000(1+\frac{0.04}{1})^{1*20}$

$A=10,000(1.04)^{20}$

$A=\$21,911.23$

Find out the interest

$I=A-P$

substitute the values

$I=\$21,911.23-\$10,000=\$11,911.23$

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3 years ago

How do you use the product rule to find the derivative of y=x√⋅cos(x)y=sqrt(x)*cos(x) ?

Ipatiy [6.2K]

$y=\sqrt x\cos x\\
y'=(\sqrt x)'\cos x+\sqrt x (\cos x)'\\
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2 years ago

Please help with this on the picture

galina1969 [7]

Answer:

a) 81

b) 16,807

c) 100

d) 78125

Step-by-step explanation:

a)

3^2 x 3^2

Step 1. Simplify the exponents

3^2 = 3 x 3 = 9

Step 2. Multiply

9 x 9 = 81
••••••••••••••••••••••••••••••••

b)

7 x 7^4

Step 1. Simplify the exponent

7^4 = 7 x 7 x 7 x 7 = 2401

Step 2. Multiply

7 x 2401 = 16,807
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c)

10^9 divided by 10^7

Step 1. Simplify the exponents

10^9 = 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 = 1000000000

10^7 = 10 x 10 x 10 x 10 x 10 x 10 x 10 = 10000000

Step 2. Divide

1000000000 divided by 10000000 = 100
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d)

5^8 divided by 5

Step 1. Simplify the exponent

5^8 = 5 x 5 x 5 x 5 x 5 x 5 x 5 x 5 = 390625

Step 2. Divide

390625 divided by 5 = 78125

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2 years ago

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SCORPION-xisa [38]

Answer:

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Step-by-step explanation:

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That is price for one pound = 0.5 $

We have 1 dollar = 100 cents

Price for one pound = 0.5 $ = 0.5 x 100 = 50 cents

Price for one pound = 50 cents

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