The admission fee at the zoo is two dollars for children and four dollars for adults formula and solve a system of equations to determine how many children went to the zoo if 1800 people entered the zoo and $6000 was collected

Adults = 1,200

Children = 600

Step-by-step explanation:

Children = $2

Adults = $4

Total people in the zoo = 1800

Total Revenue = $6,000

Let

y = number of children in the zoo

x = number of adults in the zoo

x + y = 1,800 (1)

4x + 2y = 6,000 (2)

x = 1800 - y

Substitute x = 1800 - y into (2)

4(1800 - y) + 2y = 6000

7200 - 4y + 2y = 6000

Collect like terms

4y - 2y = 7200 - 6000

2y = 1200

Divide both sides by 2

y = 1200/2

y = 600 children

Substitute y = 600 into (1)

x + y = 1,800

x + 600 = 1,800

x = 1,800 - 600

= 1,200

x = 1,200 adults

dalila is incorrect. the whisker on the left is very long, going all the way out to 5. the whisker goes from 5 to 30, so it has a spread of 25. the rest of the box plot values are closer together, so 5 is an outlier

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%