the sum of john's age and five times mary's age is 89. the sum of mary's age and twice, john's age is 52. write and solve a system of equations to find both of their ages?

180

step-by-step explanation:

the ratio of balloons to tables is 5: 2 and the constant variation is 5.

the equation is y=5x

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%