Answer:

Step-by-step explanation:
he equation for line A is given by 12x=9y+27
Equation of line is y=mx+b where m is the slope

Subtract 27 on both sides

Divide both sides by 9

Slope of the given line is 4/3
Slope of perpendicular lines are negative reciprocal of one another
slope of perpendicular line is -3/4



Multiply fraction inside the parenthesis

Now subtract 12 from both sides

This is the concept of commercial arithmetic, the amount of tax calculated from $90,000 will be:
Rate*value
=31/1000*90000
=$2,790
the answer is $2,790
1,200(1.039)^.66666
1200(<span>1.02583386437)
$1231.00
</span>
Answer:
Please see the attachment.
Step-by-step explanation:

Now we find the x and y intercept of f(x)
For x-intercept: Put f(x)=0 and solve for x
So, x=3.92 (Just before 4 on x-axis)
For y-intercept: Put x=0 and solve for f(0)
So, y=3 (Passes through y-axis at 3)
End Behavior: Third degree function


Possible graph of the f(x). Please see the attachment.
Let the number of reserved tickets = x
Let the number of lawn seats = y
Constraint functions:
Maximum capacity means 
For concert to be held 
means 
Objective functions :
Maximum profit equation p = 65x +40y
Intersection points :
(10000,10000) (20000,0)(2500,2500)(5000,0)
p at (10000,10000) = 65(10000) + 40(10000) = $1050000
p at (20000,0) = 65(20000) + 40(0) = $1300000
p at (2500,2500) = 65(2500) + 40(2500) = $262500
p at (5000,0) = 65(5000) + 40(0) = $325000
Hence maximum profit occurs when all 20000 reserved seats are sold and the profit is $1300000
Please find attached the graph of it.