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3 years ago

68) Volume of a Bucket: Determine the volume of a cylindrical bucket in cubic inches if the bucket's radius is 5 in.

Mathematics

1 answer:

Natalija [7]3 years ago

7 0

Answer:

V = 300 $\pi$ in³ or 942.48 in³

Step-by-step explanation:

Use the cylinder volume formula, V = $\pi$ r²h, where r is the radius and h is the height.

Plug in the values and solve:

V = $\pi$ (5²)(12)

V = 300 $\pi$ in³ or 942.48 in³

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You bought an investment for $1000 and 5 years later sold that investment for $1700. Taking into account compounding, what was y

igor_vitrenko [27]

Answer:

11.196%

Step-by-step explanation:

Given:

Buying cost of the investment or the principle amount = $1000

Time, n = 5 years

Selling cost of investment or amount received = $1700

Now,

the formula for compound interest is given as:

$\textup{Amount}=\textup{Principle}(1+r)^n$

here, r is the rate of interest

on substituting the respective values, we get

$\textup{1700}=\textup{1000}(1+r)^5$

(1 + r)⁵ = 1.7

1 + r = 1.11196

r = 0.11196

r = 0.11196 × 100% = 11.196%

8 0

3 years ago

The perimeter of a rectangular swimming pool is 414 meters. The length of the pool is 7 meters more than four times the width. F

PolarNik [594]

Answer:

Width = 40 meters

Length = 167 meters

Step-by-step explanation:

Let

Width of the pool = x meters

Then

Length of the pool = 4x + 7 meters

and

Perimeter $=2(x+4x+7)=2(5x+7)=10x+14$ meters

Hence,

$10x+14=414\\ \\10x=414-14\\ \\10x=400\\ \\x=40\ meters\\ \\4x+7=4\cdot 40+7=167\ meters$

5 0

3 years ago

True or false: the set of whole numbers is equal to the set of natural numbers

kirill115 [55]

Answer:

False

Step-by-step explanation:

This statement is false.

The set of whole numbers include the set of Natural numbers "N" = {1, 2, 3, 4, 5, 6, ...}, the set of the negatives of the natural numbers: {-1, -2, -3, -4,...}, and the zero: {0}

We see then that the set of Natural numbers is a subset of the set of whole numbers Z = {... -4,-3,-2,-1, 0,1, 2, 3, 4, 5, ...}

6 0

3 years ago

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serious [3.7K]

Answer:

Hello?

Step-by-step explanation:

8 0

3 years ago

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Write the equation of a line with a slope of-5/7 and a y-intercept of 1.

AnnZ [28]

Answer:

y = -5/7x + 1

Step-by-step explanation:

y = -5/7x + 1

3 0

3 years ago