Its equilateral ( all sides are equalA0
Also its acute.
D and F
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.
Given that Betty saves $161 per month which is $141 less than Jack per month. find the amount that Jack will save in 2 years.
First, find how much Jack saves. We can do this buy adding 141 to 161 since Betty saves 141 less meaning we can reverse it by adding it.
141 + 161 = 302
Now, that we know how much Jack saves per month.
Then, we have to find out how many months are in 2 years.
We already know that there is 12 months in a year, so for 2 years, we can simply multiply by 2.
12 x 2 = 24
Therefore, there are 24 months in two years.
Lastly, multiply 24 months by the amount that Jack saves to get the amount in total.
24 x 302 = 7,248
Thus, Jack will save approximately $7,248 in 2 years.
Answer:
12 and 1/4
Step-by-step explanation:
