Hmmm... a geometric sequence MUST have a fixed common ratio. If it is changing, then the sequence you are looking at might not be a geometric sequence at all. We'd need to see an example to be sure.
Answer:
Cost function C(x) == FC + VC*Q
Revenue function R(x) = Px * Q
Profit function P(x) =(Px * Q)-(FC + VC*Q)
P(12000) = -38000 Loss
P(23000) = 28000 profit
Step-by-step explanation:
Total Cost is Fixed cost plus Variable cost multiplied by the produce quantity.
(a)Cost function
C(x) = FC + vc*Q
Where
FC=Fixed cost
VC=Variable cost
Q=produce quantity
(b)
Revenue function
R(x) = Px * Q
Where
Px= Sales Price
Q=produce quantity
(c) Profit function
Profit = Revenue- Total cost
P(x) =(Px * Q)-(FC + vc*Q)
(d) We have to replace in the profit function
<u>at 12,000 units </u>
P(12000) =($20 * 12,000)-($110,000 + $14*12,000)
P(12000) = -38000
<u>at 23,000 units </u>
P(x) =($20 * 23,000)-($110,000 + $14*23,000)
P(23000) = 28000
Answer:
a. 5i + 13j
b. 8i
c. 10i + 6j
Step-by-step explanation:
a. 2i + 6j + 3i + 7j = 5i + 13j
b. 3i + 7j + 5i - 7j = 8i
c. 2i + 6j + 3i + 7j + 5i - 7j = 10i + 6j
Answer:
m∠WUV = 23°
Step-by-step explanation:
m∠TUW and m∠WUV must add up to m∠TUV
Step 1: Set up equation
m∠TUW + m∠WUV = m∠TUV
8x + 7 + 4x - 1 = 78
Step 2: Solve for <em>x</em>
12x + 6 = 78
12x = 72
x = 6
Step 3: Find m∠WUV
m∠WUV = 4x - 1
m∠WUV = 4(6) - 1
m∠WUV = 24 - 1
m∠WUV = 23°