Answer:
$1,200
Step-by-step explanation:
Data provided in the question:
R'(x)= -0.1x + 40
now,
Revenue function = ∫R'(x)= ∫(-0.1x + 40)
or
R(x) = 
here, c is the integration constant
also,
at x = 0, Revenue R = 0
thus,
0 = 
or
c = 0
therefore,
we get the revenue function as;
R(x) = 
a) For x = 230 units
R(230) = 
or
R(230) = - 2645 + 9200 = $6,555
b) R(330) = 
or
R(330) = -5445 + 13,200 = $7,755
Hence,
the addition evenue realized when the production (and sales) level is increased from 230 to 330 units
= $7,755 - $6,555
= $1,200
Answer:
b=4
Explanation and how to do the model
5b+2=22
-2 -2 by subtractive property of equality
5b/5=20/5 by division property of equality
b=4
As for the model, it would be great if you could specify what your teacher is looking for and I'll help you from there
Let notebooks be x and let pencils be y
4x+9y=8.25 (equation 1)
7x+14y=14.00 (equation 2)
Multiply equation 1 by 7
So that you get 28x+63y=57.75
Multiply equation 2 by 4
So that you get 28x+56y=56.00
28x+63y=57.75 -
28x+56y=56.00
-----------------------
7y=1.75
Divide both sides by 7
1.75/7 is 0.25
So, now we know that one pencil costs 0.25 cents
Sub this y value into equation one
4x+9(0.25)=8.25
4x+2.25=8.25
Move 2.25 to the other side as a negative number
4x= 6
Divide both sides by 4
6/4 is $1.50
So, one pencil is equal to 0.25 cents and one notebook is equal to $1.50
Let S = his average speed.
Let D = distance traveled one way
Time = distance / speed
Set up an equation:
d/6 + d/12 = 2d/S
Multiply the equation by 12s:
12s(d/6) + 12s(d/12) = 12s(2d/s)
Simplify to get:
2sd + sd = 24d
Combine like terms:
3sd = 24d
Divide both sides by d:
3s = 24
Divide both sides by 3:
s = 24/3
s = 8
His average speed was 8 mph.
No but I know someone who can
