Apizza store offers three different party packages of pizzas. the packages and prices are listed below. if pizzas cost the same individually or in a package, what is the cost of a medium pizza?
small gathering:
1 small, 1 medium, 1 large $18
family reunion:
4 small, 2 medium, 1 large $36
huge party:
6 small, 5 medium, 4 large $86

The cost of a medium pizza is $6

Step-by-step explanation:

This is a system of 3 equations with 3 unknown variables.

The 3 equations are: Small (S), Medium (M) and Large (L)

S + M + L = 18  (1 Equation)

4S + 2M + L = 36 (2Equation)

6S + 5M+ 4L = 86 (3 Equation)

Clearing the first equation and putting it in the second we have:

4S + 2M + (18 - S - M) = 36 that is 3S + M = 18

Then replacing the clearing of the 1 and 2 equation in equation 3 we have:

6S + 5(18 - 3S) + 4(18 - S - 18 +3S) = 86

that is 6S + 90 -15S + 8S = 86

that is 15S - 14S = 4 that is S = 4

Then replacing S in 3S + M = 18; M = 6 (Medium cost  $6)

step-by-step explanation:

circumference divided by 3.141592654 then timesthe radius twice

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%