Answer:
y ≈ 4.3
Step-by-step explanation:
Since the figures are similar then the ratios of corresponding sides are equal, that is
= 
, substitute values
= 
( cross- multiply )
6(y + 1) = 32
6y + 6 = 32 ( subtract 6 from both sides )
6y = 26 ( divide both sides by 6 )
y ≈ 4.3 ( to the nearest tenth )
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.
Answer:
x=1.25 and y=-5.5
Step-by-step explanation:
2x+y=-8, 2x=-y-8 or 4x=-2y-16. Plug this value in the second equation, we have - 2y-16-2y=6, y=-5.5. Plugging this in any equation we have, x=1.25
Answer:
5 to 18 ; 1 to 225
Step-by-step explanation:
BEACAUSE IT WAS FROM USA TEST PREP AND GOT IT RIGHT
Answer:
Maggie is 6 years old
Step-by-step explanation:
M + B = 26
B = 26 - M
4M - 4 = B
4M - 4 = 26 - M
5M = 30
M = 6
Maggie is 6 years old
