Mathematics, 23.06.2019 03:30 djfluffyman999

If a wheel has a radius of 3 in how far will it travel in 30 revolutions?

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ANSWER:

180π units

The distance the wheel will travel in 30 revolutions is 180π units.

STEP-BY-STEP EXPLANATION:

The shape of a wheel is circular.

To find the distance the wheel will travel for 30 revolutions, we must first find the distance it will travel for 1 revolution.

1 revolution of the wheel would be equivalent to the circumference of the wheel as it is a circle.

Therefore, we will require the formula for the circumference of a circle in order to solve this question.

The formula for the circumference of a circle is displayed below:

Let C = circumference of circle

C = 2πr OR C = πd

Where r = radius of circle

Where d = diameter of circle

Using this, we will substitute the given value from the problem into the formula to obtain the distance the wheel will travel for 1 revolution.

Let d = distance the wheel will travel for 1 revolution

r = 3 units

d = 2πr

THEREFORE:

d = 2π( 3 )

d = 6π units

In order to obtain the distance the wheel will travel for 30 revolutions, we simply have to multiply the distance the wheel will travel for 1 revolution ( as given above ) by 30.

Let x = distance the wheel will travel for 30 revolutions

x = d × 30

x = 6π × 30

x = 180π units

Answer from: Quest

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Answer from: Quest

required rate of return = 0.166 = 16.6%

step-by-step explanation:

under the capital asset pricing model (capm), the required or expected rate of return for a particular security or asset is given using the formula:

required rate of return = risk-free rate + beta*(market risk premium)

we are given that;

risk-free rate = 4% = 0.04

beta = 1.4

market risk premium = 9% = 0.09

we simply plug these values into the above formula;

required rate of return = 0.04 + 1.4*(0.09)

required rate of return = 0.04 + 0.126

required rate of return = 0.166 = 16.6%

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