Answer:
$59
Step-by-step explanation:
Let the revenue will be maximum when $ x is increased in the ticket price.
So, the final ticket price is $(18 + x) and attendance in the concert will be (500 - 5x)
So, revenue R = (18 + x) (500 - 5x) = 9000 + 410x - 5x².......... (1)
Condition for R to be maximum is 
So, differentiating equation (1) with respect to x on both sides

⇒ x = 41
So, the ticket price for maximum revenue is $(18 + 41) = $59 (Answer)
Answer: James will save $3 for 18 weeks before he can buy the telescope
Step-by-step explanation:
Identify the slope, m. This can be done by calculating the slope between two known points of the line using the slope formula.
Find the y-intercept. This can be done by substituting the slope and the coordinates of a point (x, y) on the line in the slope-intercept formula and then solve for b.
Answer:
±1/5, ±1, ±11/5, ±11
Step-by-step explanation:
Potential rational roots of 5x² -7x +11 will be of the form ...
(divisor of 11)/(divisor of 5)
so will include ...
±1/5, ±1, ±11/5, ±11
Answer:
8
Step-by-step explanation:
f(x) = 5(3) - 7
f(x) = 15 - 7
f(x) = 8