Answer:
x = 11
m<H = 39°
Step-by-step explanation:
m<G = 6x - 15
m<H = 3x + 6
complementary angles = angles that add up to 90
6x - 15 + 3x + 6 = 90
9x = 99
x = 11
m<H = 3x + 6, plug in 11 as x
3 * 11 + 6
= 33 + 6
m<H = 39°
Step-by-step explanation:
Cost to make the film : $6500
Cost to set up production: $1500
Additional cost to make each video : $4
Additional cost to make n videos : $4n
total cost to make n videos = $6500 + $1500 + $4n = (8000 + 4n) dollars
overall cost to make each video
= total cost to make n videos ÷ n videos
= (8000 + 4n) / n
by definition, in order to "break even", the selling price for each video must be equal to the cost to make each video. i.e
Price, P(n) = (8000 + 4n) / n
Hence,
P(500) = [8000 + 4 (500)] / 500 = (8000 + 2000) / 500 = $20
This means that in order to break even selling 500 DVD's he has to sell each one for $20
