John is selling tickets to an event. Attendees can either buy a general admission ticket, x, or a VIP ticket, y. The general admission tickets are $80 and the VIP tickets are $85. If he knows he sold a total of 26 tickets and made $2,155, how many of each type did he sell? Enter a system of equations to represent the situation, then solve the system. The system of equations is . John sold general admission tickets and VIP tickets.

Step-by-step explanation:

x+y=26

80x + 85y = 2155

y = 26-x

80x + 85(26-x) = 2155

80x + 2210 - 85x = 2155

-5x = -55

x = 11

11+y = 26

y = 15

452,489 to the nearest thousand is 452,000

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%