6% (or 7% if you round)
WORK
New - Old / Old
420-450
-30 / 450
-6.6
6% decrease
We are given with the variable cost which is:
q = -20s + 400
The selling price is 's'. So, the profit can be represented by:
P = qs - q(12)
Subsituting:
P = (-20s + 400)s - 12 (-20s + 400)
P = -20s^2 + 640s - 4800
To optimize this, we must differentiate the equation and equate it to zero, so:\
dP/ds = -40s + 640 = 0
Solving for s,
s = 16
So, the selling price should be $16 to optimize the yearly profit.
Short answer = false
Remark
If it is a right triangle, it will obey the Pythagorean Equation. a^2 + b^2 = c^2. Let's see if it does.
Equation
a^2 + b^2= c^2
c must be the longest line. (Hypotenuse)
Givens
a = 24
b = 17
c = 40
Sub and Solve
a^2 + b^2 = c^2
17^2 + 24^2 = c^2 [We'll see if this comes out to 40]
289 + 576 = c^2
865 = c^2 which is no where near what 40^2 equals. 40^2 = 1600
Short answer False
Square root of 865 = (865)^1/2 = 29.4
67 meters because if you use the triangle congruent method with the altitude at 65 degrees you should get the right answer
