X = # of perfomances
y = total amount of money
Income: y = 7500x
Expense: y = 5900x + 88000
Substitution:
7500x = 5900x + 88000
1600x = 88000
x = 55
y = 7500(55) = $412,500
55 performances are needed to break-even.
Answer:
no solutions.
Step-by-step explanation:
8x + 14 -4x = 9+4x -5
8x-4x -4x = 9-5-14
0x = -10
anything multiplied by 0 is 0, so it's impossible to get -10 by multiplying by 0
Answer:
The minimum sample size is n = 75 so that the desired margin of error is 5 or less.
Step-by-step explanation:
We are given the following in the question:
Population variance = 484
Standard deviation =

Confidence level = 0.95
Significance level = 0.05
Margin of error = 5
Formula:
Margin of error =


Putting values, we get

Thus, the minimum sample size is n = 75 so that the desired margin of error is 5 or less.
Answer:
4 > −3
Step-by-step explanation:
To find a number to the right of -3, it must be bigger than -3
The open part of the inequality faces the bigger number.
4 is bigger than -3
4>-3