Robert climbed 775 steps and 12 1/2 minutes. How many steps did he average per minute?

Robert climbed  62 steps per minute

Step-by-step explanation:

We can solve this using proportion.

Let x be the number of steps he climbed in a minute

775 steps = 12 1/2  minutes

 x              =  1 minutes

Cross-multiply

775 = 12 1/2 x

But 12 1/2 =

775 =   x

Cross-multiply

1150 = 25 x

Divide both-side of the equation by 25

1150/25 = 25x/25

62 = x

x = 62 steps

Therefore Robert climbed  62 steps per minute

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%