(1) C = 15x + 40000 ...............because it cost $15 to produce each CD with a one-time cost of $40,000
(2) R = 59x ......................because each CD will sell for $59
(3) P = R - C → P = 59x - (15x + 40000) → P = 44x - 40000
(4) 44x = 40000 → x = 909 ........ They must sell 909 in order to break even
Answer:
2.9 per gallon
Step-by-step explanation:
For this case by similarity of triangles we can use the following relationship:
(x) / (11) = (2) / (10)
We clear the value of x:
x = ((2) / (10)) * (11)
Rewriting:
x = ((1) / (5)) * (11)
x = 2.2
Equivalently:
x = 22/10
x = 11/5
Answer:
The value of x is:
x = 2.2
Equivalently:
x = 11/5
Solution: We are given an urn contains 1 red chip and 1 white chip.
Now let's consider the first draw.
The probability of drawing red chip 
We know that if the first chip drawn is red, we will put back that chip into the urn with additional two red chips. So if the first chip drawn is red, we will have 3 red chips and 1 white chip in the urn.
Now if we draw another chip from an urn containing 3 red chips and 1 white chip. Then the probability of drawing a red chip is

Now lets combine these two events
The probability of both are red = P(1st draw is red) . P(2nd draw is red)
=(1/2) x (3/4)
=(3/8)
Therefore, the probability of both selections are red is 3/8