The answer to the question
We can write the following proportion between the milligram and milliliters:
Solving for x, we have
Intuitively, the original 1000mg/250ml solution tells us that the number of milliliters is one fourth of the number of milligrams.
So, if we want 700mg, we have one fourth of this value for the milliliters:
Answer:
x = 57,542.8571
Step-by-step explanation:
C(x) = 0.81x + 60,420
R(x) = 1.87x
At break even point, Cost function and revenue function becomes equal.
-> C(x) = R(x)
-> 0.81x + 60,420 = 1.87x
-> 60420 = 1.87x - 0.82x
-> 60420 = 1.05x
-> x = 60420/1.05
-> x = 57,542.8571
Thus, at break even point x = 57,542.8571
This will be easier to write, and a lot easier to read, if we temporarily
use another symbol ... say, 'Q' ... to represent ' sin(2x) ' .
Here we go:
Original equation: Q² - 0.5 Q = 0
Factor the left side: Q (Q - 0.5) = 0
This equation is true if either factor is zero:
-- If Q=0, then sin(2x) = 0
2x = 0°, 180°, 360°
x = 0°, 90°, 180°
-- If (Q-0.5) = 0, then Q = 0.5
sin(2x) = 0.5
2x = 30°, 150°
x = 15°, 75°
The whole collection of solutions
between 0° and 360° :
x = 0°, 15°, 75°, 90°, 180° .
