Revenue from single-day ticket sales at a local amusement park can be modeled by the function y=-x2+11x+42 and revenue from season pass sales can be modeled by the function y=-5x+81, where x represents the number of months past January and y represents the total revenue in tens of thousands of dollars.

Algebraically, determine after how many months the revenue from single-day ticket sales will equal the revenue from season pass sales. (The first time it occurs)

How much revenue will they have earned at this point in time from single-ticket and season pass sales?

Lots of points!

Step-by-step explanation:

(a) The revenue from sales will be equal when ...

  -x^2 +11x +42 = -5x +81

  0 = x^2 -16x +39

  0 = (x -13)(x -3)

According to this model, sales will be even after 3 months and after 13 months. The first time it occurs is after 3 months.

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(b) Sales of each media at that point in time will be ...

  y = -5x +81 = -5(3) +81 = 66 . . . . tens of thousands of dollars

$660,000 will be earned from sales of single-tickets and from season pass sales, for a total of $1,320,000.

g = (2, 2)

step-by-step explanation:

given the ratio is 1 : 1 then f is the midpoint of eg

let the coordinates of g = (x, y)

using the midpoint formula

(0 + x) = 1 ( multiply both sides by 2 )

0 + x = 2 ⇒ x = 2

similarly

(4 + y) = 3 ( multiply both sides by 2 )

4 + y = 6 ( subtract 4 from both sides )

y = 2

coordinates of g = (2, 2)

the  office resources  are the human, physical and financial  resources  which are utilized for performing all the activities in order to achieve the organizational objectives.

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