Suppose you bought supplies for a party. three roles of streamers and 15 party hats cost $30. later you bought 2 rolls of streamers and 4 party hats for $11. how much did each roll of streamers cost? how much did each party hat cost?

the cost of one roll of streamer is $2.5

the cost of one hat is $1.5

Step-by-step explanation:

Let x represent the cost of one roll of streamer.

Let y represent the cost of one hat.

Suppose you bought supplies for a party. Three rolls of streamers and 15 party hats cost $30. This means that

3x + 15y = 30 - - - - - - 1

Later you bought 2 rolls of streamers and 4 party hats for $11. This means that

2x + 4y = 11 - - - - - - - -2

We will use method of elimination to solve both equations

Multiply equation 1 by 2 and multiply equation 2 by 3. It becomes

6x + 30y = 60

6x + 12y = 33

Subtracting to eliminate x,

18y = 27

y = 27/18 = 1.5

Substituting y = 1.5 into equation 1, it becomes

3x + 15×1.5 = 30

3x + 22.5 = 30

3x = 30 - 22.5 = 7.5

x = 7.5/3 = 2.5

go on the tube you might find some information there

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%