2 is a multiple of 4, so anything that's a multiple of 4 will automatically be a multiple of 2
so 3 x 4 = 12
so multiples of 12 that are between 67 and 113 are...?
12 x 6 = 72
12 x 7 = 84
12 x 8 = 96
12 x 9 = 108 <span> 72 or 84 or96 or 108
all are divisible by 2,3 and 4
all fall between 67 and 112</span>
Well, the easiest way to go about this is to take out the number of games played (temporarily, we'll need that number later.)
We'll make y the points per game and x the number of games.
Now the way to find this out is to divide the number of points by the number of games so:
y = 64/x
now we know x is 8 so we need to solve for y
y = 64/8
y = 8
Teri scored 8 points per game.
a. R\p = (10 - q)*2
The inverse demand function is just the inverse function of the demand function. In other words, we just have to isolate p in the demand function:
p = (10 - q)*2
b. R\25
The price for 5 units of output is given by the inverse demand function:
p = (10 - 5)*2 = 10
We replace p in the profit function:
π(q) = 10 * 5 - 5² = 25
c. 3
For this one, we replace the inverse demand function in the profit function and derivate for q, then equate to 0 and solve:
π(q) = ((10 - q)*2)*q - q² = 20q - 2q² - q² = 20q - 3q²
dπ/dq = 20 - 6*q
20 - 6q = 0
q = 20/6 = 3.33333
Now, a decimal level of output makes no sense. So, now we try the nearest integers 3 and 4, and find the respectives profits. The output that has that maximum profit will be the one that maximizes the profit. Keep in mind, that this will only be true in this particular case because the profit function has the form of a quadratic equation:
π(3) = 20 * 3 - 3*(3)² = 33
π(4) = 20 * 4 - 3*(4)² = 32
The answer is 3.
Hey There! I can help you by explaining how to solve it but not answering sorry! Anyhow, To find the volume of a square based pyramid I suggest you start with the square and do L x W. Than Solve the triangles by using formula 0.5 * b * h. Hint: On the bottom triangle use 8cm from the square with the 3.8cm. Hope you now understand and can find the answer!
