Solve the literal equation xy−4xz=5 for x.
1 answer:
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Answer:
The forecast for November is 235 if August's forecast was 145.
Step-by-step explanation:
The formula for calculating forecast using exponential smoothing is:
Where Ft = New month forecast
Ft-1 = Previous month forecast
At-1 = Previous month actual value
α = smoothing constant
We are given F₈ = 145 (forecast for August), A₈ = 200 (Actual Value for August), α = 2, and we need to compute the forecast for November. So, We will first calculate the forecast for September then October and then November, step-by-step.
So, forecast for September is:
F₉ = F₈ + α (A₈ - F₈)
= 145 + 2*(200-145)
= 145 + 2*55
F₉ = 255
Then, forecast for October is:
F₁₀ = F₉ + α (A₉ - F₉)
= 255 + 2*(220-255)
= 255 + 2*(-35)
F₁₀ = 185
The forecast for November is:
F₁₁ = F₁₀ + α (A₁₀ - F₁₀)
= 185 + 2*(210 - 185)
F₁₁ = 235
To find the answer set up an equation:
Using this set up we can cross our units of pages since they are on opposite side of the proportion, leaving us with the desired units of hours.
Then divide 400 by 65 which will give us our answer: 6.15 or about 6 hours for Jamie to finish her reading.
Using this set up we can cross our units of pages since they are on opposite side of the proportion, leaving us with the desired units of hours.
Then divide 400 by 65 which will give us our answer: 6.15 or about 6 hours for Jamie to finish her reading.