Answer: 4 gallons require 5 5/39 spoons of syrup
Step-by-step explanation:
Given it takes 3 2/6 spoons to make 2 3/5 gallons of chocolate milk
i.e. 20/6 spoons make up 13/5 gallons of milk
⇒1 gallon require 20/6/13/5 spoons of milk
⇒ 20 x 5/6 x 13 spoons of milk
⇒ 100/78 spoons of milk
Therefore 4 gallons require 4 x 100/78 spoons
⇒ 400/78 spoons
⇒ 200/39 spoons
⇒ 5 5/39 spoons
Answer:
17) MC(x) = 35 − 12/x²
18) R(x) = -0.05x² + 80x
Step-by-step explanation:
17) The marginal average cost function (MC) is the derivative of the average cost function (AC).
AC(x) = C(x) / x
MC(x) = d/dx AC(x)
First, find the average cost function:
AC(x) = C(x) / x
AC(x) = (5x + 3)(7x + 4) / x
AC(x) = (35x² + 41x + 12) / x
AC(x) = 35x + 41 + 12/x
Now find the marginal average cost function:
MC(x) = d/dx AC(x)
MC(x) = 35 − 12/x²
18) x is the demand, and p(x) is the price at that demand. Assuming the equation is linear, let's use the points to find the slope:
m = (40 − 50) / (800 − 600)
m = -0.05
Use point-slope form to find the equation of the line:
p(x) − 50 = -0.05 (x − 600)
p(x) − 50 = -0.05x + 30
p(x) = -0.05x + 80
The revenue is the product of price and demand:
R(x) = x p(x)
R(x) = x (-0.05x + 80)
R(x) = -0.05x² + 80x
Answer:
$120.00
Step-by-step explanation:
2000/100 = $20 = 1%
20x12 = $240 = annual intrest = 12m
June 15 - December 15 = 6m
240/2 = $120 for half a year intrest!
Your question is a bit unclear, but I will try to answer it anyway.
The expression 3x + 2(x - 1) - 4 simplified is:
3x + 2(x - 1) - 4
= 3x + 2x - 2 - 4
= 5x - 6
I cannot tell what the answers are but I am guessing they are these?:
A) 3x + 2x - 2 - 4
B) 5x - 6
C) 3(x - 4)
D) 3(x + 2) - 6
E) 6(x - 1)
Answer A is one, and so is answer B. If I read your question accurately.
I hope I helped!
Answer:
Not valid
Biased
inappropriate
Step-by-step explanation:
No actual study was done, only observation.
