Answer:
(g · h)(t) = -6t - 6
Step-by-step explanation:
To find (g · h)(t), multiply g(t) by h(t).
g(t) = 3t + 3
h(t) = -2
(g · h)(t) = (-2)(3t + 3)
(g · h)(t) = -6t - 6
Here you go. just put the equation into a table
Answer:
C) 58
Step-by-step explanation:
180-138=42
42+80=122
180-122=58
A= 58
Answer: d. $1,432.50
Step-by-step explanation:
Sales price + Rush charge = 35 * 1.25 = $43.75
Add tax;
= 43.75 * 1.08
= $47.25
Total purchase = 47.25 * 30 units
= $1,417.50
Total cost of purchase = 1,417.50 + 15 (shipping)
= $1,432.50
Answer:
a. Assuming gallons of unleaded regular is denoted by r; and unleaded premium by p.
Revenue from one gallon of unleaded regular is $1.299 and from unleaded premium is $1.379.
Revenue function = 1.299r + 1.379p
b. Cost of one gallon of unleaded regular is $1.219 and for unleaded premium is $1.289.
Cost function = 1.219r + 1.289p
c. Total profit = Revenue - Cost
= 1.299r + 1.379p - 1.219r - 1.289p
= 1.299r - 1.219r + 1.379p - 1.289p
= 0.08p + 0.09p
d. If station sells 100,000 gallons of unleaded regular and 40,000 of unleaded premium;
= (0.08 * 100,000) + (0.09 * 40,000)
= 8,000 + 3,600
= $11,600