Answer:
Step-by-step explanation:
y = -2x + 11
Answer:
$3
Step-by-step explanation:
Given that:
p = 8 - ln(x) when 5 < x < 500
where;
x = The total number of dogs sold
Then;
The total revenue = x * p
R = x(8 - ln(x))
R = 8x - xln(x)
The Company thus pays 1 dollar per dog
i.e.
The total cost C = 1 * x = x
Then: Profit = R - C
P = 8x - xln(x) - x
P = 7x - xln(x)
Differentiating P in respect to x
dP/dx = 7 - d/dx(xln(x))
dP/dx = 7 - x*d/dx(ln(x)) - ln(x)*d/dx(x)
dP/dx = 7 - x(1/x) - ln(x)
dP/dx = 6 - ln(x)
Since this must be maximized, dP/dx is set to be equal to 0
6 - ln(x) = 0
ln(x) = 6
x = e^6
Now, p = 8 - ln(x)
Plug in the value of x :
p = 8 - ln(e^5)
p = 8 - 5
p = 3
Therefore, each dog must be priced at $3 to maximize the profit.
Answer:
I only know the answer to part A. The triangles ARE similar and they ARE congruent.
Step-by-step explanation:
The big triangle has 75° and 60°.
The little triangle has 75° and 45°
75°+60°+45° = 180°
45° is the missing interior angle for the big triangle.
75°+45°+60° = 180°
60° is the missing interior angle for the little triangle.
Answer:
c
Step-by-step explanation:
Answer:
x > 0.5
Step-by-step explanation:
Let the number be x.
6 + 5x > x + 8
4x > 2
x > 0.5
This is a question on inequalities. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)