There are 500 tickets for sale in a raffle. tickets cost $3 each, or $20 for a book of 10. all 500 tickets were sold, and $1350 was raised. how many books of 10 tickets were sold?

15 booklets of 10 tickets each were sold.  

Step-by-step explanation:

We are given the following information:

Let x be the number of single tickets sold and y be the number of booklets sold.

Each booklet consist of 10 tickets.

There are total of 500 tickets.

Thus, it can be represented by the equation:

The cost of single ticket = $3

Cost of booklet = $20

Total money raised = $1,350

This, can be represented in the equation:

Now, we have obtained two equation in two variable. Solving these equations, we get:

Thus, 15 booklets of 10 tickets each were sold.

32/80  

91/140

the last one 54 doesn't go into 45. 54/100 ?

step-by-step explanation:

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%