Acharity bingo game costs $2 per round and has a $13 entry fee for an adult. it costs $3 per round and a $10 entry fee for a child. for how many rounds of bingo are the costs the same for an adult and a child?

3 rounds

step-by-step explanation:

cost of adult:

so, round cost would be

total cost for an adult is thus sum of these 2:

total cost =

cost of child:

so, round cost would be  

total cost for child is thus sum of these 2:

total cost =

to figure how many rounds would make both the costs equal, we set both equations equal and solve for x, number of rounds.

so, for 3 rounds of bingo, the costs of adult and child are the same.

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%