Answer:
Step-by-step explanation:
Given
Required
Write as sum or difference
Using addition law of logarithm, the equation becomes:
Expand
Apply addition law
Answer:
5cm wide, 10cm long.
Step-by-step explanation:
I came to this answer by looking for common factors between 50 and 5, and I found 10.
5cm + 5cm = 10cm, so it works.
To confirm this, I multiplied 5 and 10 and got 50cm (squared) which works.
Answer:
6.9261307e+23
Step-by-step explanation:
89 tenths......................
A) Demand function
price (x) demand (D(x))
4 540
3.50 810
D - 540 810 - 540
----------- = -----------------
x - 4 3.50 - 4
D - 540
----------- = - 540
x - 4
D - 540 = - 540(x - 4)
D = -540x + 2160 + 540
D = 2700 - 540x
D(x) = 2700 - 540x
Revenue function, R(x)
R(x) = price * demand = x * D(x)
R(x) = x* (2700 - 540x) = 2700x - 540x^2
b) Profit, P(x)
profit = revenue - cost
P(x) = R(x) - 30
P(x) = [2700x - 540x^2] - 30
P(x) = 2700x - 540x^2 - 30
Largest possible profit => vertex of the parabola
vertex of 2700x - 540x^2 - 30
When you calculate the vertex you find x = 5 /2
=> P(x) = 3345
Answer: you should charge a log-on fee of $2.5 to have the largest profit, which is $3345.
