The stadium has fixed expenses of $10,000 per event. last month it put on three major events and spent $72,000, $47,500, and $65,000 in advertising for them respectively. according to the accountant, these events earned a total of $482,000 in revenue. what was the stadium's profit margin last month?

 Stadium's profit margin last month was $267500.

Step-by-step explanation:

Since we have given that

Fixed expenses of the stadium per event =$10000

Number of events = 3

Total fixed expenses of the stadium will be

Amount they spent on advertising on first event = $72000

Amount they spent on advertising on second event = $ 47500

Amount they spent on advertising on third event = $65000

So, total amount they spent on advertising on all these three events will be

And we have also given that total revenue they earned = $482000

So, Stadium's profit margin last month will be

Hence, Stadium's profit margin last month was $267500.

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)

look at the picture.

1.

ef : ab = 2 : 3

gf : cb = 2 : 3

gh : cd = 2 : 3

he : da = 2 : 3

2.

∠a ≅ ∠e

∠b ≅ ∠f

∠c ≅ ∠g

∠d ≅ ∠h

3.

use pythagorean theorem:

the length of the abcd trapezoid sides:

|ab| = 3 cm

|bc| = 10 cm

|cd| = 3(3) cm = 9 cm

|da| = 8 cm

the perimeter of abcd = 3 + 10 + 9 + 8 = 30 cm

the ratio of perimeters of the tarapezoids is equal 2 : 3.

substitute:

      cross multiply

      divide both sides by 3