(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:
7 - 51
Step-by-step explanation:
additive inverse : a number that when added to a given number gives zero the additive inverse of 4 is −4
X
x+2
x + x + 2 = 196
2x = 194
x=97
The two consecutive odd integers are 97 and 99.
Work backwards.
After she put half of what she had left in, she had 17.76.
Multiply by 2:
17.76 * 2 = 35.52
Add 25:
35.52 + 25 = 60.52
Add 14.48:
75
So she received $75 on her birthday.
First find a parameterization for the curve of intersection.
Given the equation of a cylinder, a natural choice for a parameterization would be one utilizing cylindrical coordinates. Here,

which suggests we could use

with
, and we get
from the equation of the plane,

Now use the arc length formula:


