Answer: 12.25miles.
Step-by-step explanation:
This is a simple proportion.
20 miles = 3.5miles
∴ 1 mile = 3.5/20
∴ 1hour 10minutes which is equivalent to 70minutes will be
= (3.5/20 x ⁷⁰/₁ ) miles
= 12.25miles
The first law: multiplication
The second law: division
The third law: brackets
Negative powers
Power of zero
Fractional powers
Answer:
z = 5
Step-by-step explanation:
Here, I am using the 30 60 90 right triangle rule
7+3 = 2x
z = 5
x = 5√3
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.
-2.4b = 14.4
Inverse operation
-2.4b/-2.4 = 14.4/-2.4
b = -6
Answer: b = -6
