Answer:
Step-by-step explanation:
1) P= Area of Circle/ Area of large rectangle
Area of the circle = pi·r² = pi·2²=4 pi ft.²
Area of large rectangle= l·w -12·10 =120 ft.²
P = 4pi/120 rewrite 120 as 4·30
P= 4 pi/4*30 = pi/30 = 3.14/40 ≈ .1047 ≈10% (because .1047·100 =10.47≅10)
2) P = Area of smaller rectangle/ Area of large rectangle
Area of smaller rectangle = l·w = 2·4 =8 ft.²
Area of large rectangle=l·w = 12·10=120 ft²
P= 8/120 ≅ .0666≅ 7% (because .0666·100 =6.66≅7)
3) P= Not the circle or smaller rectangle/ Area of large rectangle
Not the circle or smaller rectangle area
= Area of large rectangle - Area of circle -Area of smaller rectangle
= 120 -4·pi -8 = 120 - (4· 3.14) -8 = 99.4362939 ft²
Area of large rectangle = l·w = 12·10 =120 ft²
P = 99.4362939 /120 ≅ .8286 ≅83% (because .8286·100 =82.86≅83)
Answer:
p(x) = 8x - 20
Step-by-step explanation:
revenue from selling x shirts is f(x) = 15x
The cost of buying x shirts is c(x) = 7x + 20
p(x) = f(x) - c(x)
To solve this, we need to substitute value of f(x) and c(x) in formula for p(x)
p(x) = f(x) - c(x)
p(x) = 15x -( 7x + 20)
=> p(x) = 15x - 7x -20
=> p(x) = 8x -20
Thus, profit is p(x) = 8x - 20.