Answer: The break even point is when they have sold 16 books and have made $288
Step-by-step explanation: The costs are modeled in the equation y = 12x + 96. x is the number of books sold.
The earnings are modeled by he equation y = 18x.
Substitute 18x for y and solve for x.
18x = 12x + 96 Subtract 12x from both sides.
6x = 96 Divide both sides by 6
x = 16
Substitute into the original equations to solve for y
y = 12(16) + 96
y = 192 + 96
Y = 288
y = 18(16)
y = 288
Answer:
54 students
Step-by-step explanation:
First, change the percent to a decimal.
12% = 0.12
Now, multiply the decimal by the total amount of students to find the amount of students that stay after school.
450 × 0.12 = 54
54 students stay after school for Comedy Club.
Answer:
Work shown below!
Step-by-step explanation:
So sum the prime factors up
25=5*5, 5+5=10
26=2*13, 2+13=15
27=3*3*3, 3+3+3=9
15>10>9
26 is biggest
pick 26
Find the slope of the line connecting (1990,435000) and (2005,482300):
482300-435000 47300
m = ----------------------- = ---------------- = 3153/yr (approx)
2005 - 1990 15 yr
Use the point-slope formula to find the equation of this str. line:
y-435000 = (3153/yr)(x-1990)
The year 2020 is 30 years after 1990. Thus, the expected pop in 2020 is
given by y-435000 = 3153(30) = 94590, so that y = 529590.
