An artist mixes 2 parts red paint with 3 parts yellow paint to get the shade of orange she wants. how many quarts of red paint must she mix with 12 quarts of yellow paint to get the same shade?

8 quarts

Step-by-step explanation:

We are given that an artist wants a shade of  orange by mixing  2 parts red paint with 3 parts yellow paint .

We have to find number of quarts of red paint must she mix with 12 quarts of yellow paint to get the same shade.

Ratio of red paint to yellow paint=2:3

If she wants same shade then the ratio of red paint to yellow paint must remain same.

Let x quarts of red paint mix with yellow paint to get same shade.

Hence,she required 8 quarts of red paint mix with 12 quarts of yellow paint  to get the same  shade .

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%