As a sales team member, you earn 2% commission on any sales that exceed the $2500 minimum threshold. the amount of money you earn commissions equals e(x)=x-2500. the total commission you earn is c(x)=0.02x . what composite function would you use to calculate your commission earned if you sold $6000?

$70

Step-by-step explanation:

For this problem, we want to find the commission we will earn on a sale of $6000.  We are given that we earn commission after $2500 and we earn 2% of that.  For this, we are given the two functions E(x) and C(x).  

E(x) = x - 2500

C(x) = 0.02x

To find what we will actually earn we need to compute C(E(x)).  So let's do that below.

C(E(x)) = 0.02(x-2500)

C(E(x))= 0.02x - 50

So now that we have the equation to compute our earned commission, let's plug in our $6000 sale.

C(E(6000)) = 0.02(6000) - 50

C(E(6000)) = 70

So on a $6000 sale, we will earn $70.

We can verify this number by computing each requirement separately.

E(6000) = 6000 - 2500 = 3500

C(3500) = 0.02(3500) = 70

Cheers.

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%