Answer:
16.25;
g(f(x)) ;
76 ;
f(g(x))
Explanation:
For 15 off
f(x) = x - 15
For 35% off
g(x) = (1 - 0.35)x = 0.65x
g(x) = 0.65x
A.)
For the $15 off coupon :
f(x) = x - 15
f(x) 40 - 15 = 25
For the 35% coupon :
g(x) = (1-0.35)x
g(x) = 0.65(25)
g(x) = 16.25
B.)
Applying $15 off first, then 35%
Here, g is a function of f(x)
g(f(x))
Here g(x) takes in the result of f(x) ;
For the $140 off coupon :
f(x) = x - 15
f(140) = 140 - 15 = 125
For the 35% coupon :
g(125) = (1-0.35)x
g(124) = 0.65(125) = $81.25
C.)
x = 140
g(x) = 0.65x
g(140) = 0.65(140)
g(140) = 91
f(x) = x - 15
f(91) = 91 - 15
f(91) = 76
D.)
Here, F is a function of g(x)
f(g(x))
f(x) = (0.65*140) - 15
Answer:
The marginal revenue of the 21st driveway is: -$500. The right answer is C.
Explanation:
In order to calculate the the marginal revenue of the 21st driveway, we have to calculate first the total revenue from 20 driveways.
Total revenue from 20 driveways = 20×$10,000= $200,000
Next, we calculate the Revenue from 21 driveways = 21×$9,500 = $199,500
Therefore, The Marginal revenue from 21th driveways = =$199,500-$200,000 =-$500
Answer: She can produce 50 drinks in 1 hour, 200/4 = 50
