A circular garden has a circumference of 88 yards. Lars is digging a straight line along a diameter of the garden at a rate of 7 yards per hour. How many hours will it take him to dig across the garden? Use 3.14 for π and round the diameter to the nearest whole number, if necessary.

It will take 4 hours to dig in the garden

Step-by-step explanation:

First we have to calculate the diameter, for this we will use the formula to calculate the circumference of a circle and we will clear the diameter

d = diameter

π = 3.14

c = circumference

c = π * d

d = c / π

d = 88yd / 3.14

d = 28.025yd

round to the nearest whole number

28.025 = 28

d = 28yd

To know how many hours it takes, we divide the diameter by the speed

t = time

v = velocity

t = d / v

t = (28yd) / (7yd/h)

t = 4h

It will take 4 hours to dig in the garden

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%