What’s the 10th term in 1,4,6,10
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
Answer:
The price of each movie is $2.25
The price of each video games is $5.41
Step-by-step explanation:
Given as :
Miguel rented 5 movies and 3 video games for a total cost = $27
Next day Miguel rented 2 movies and 6 video games for a total cost = $36
Let The cost of each movie = $m
And The cost of each video game = $v
Now, According to question
5 m + 3 v = 27 .....1
2 m + 6 v = 36 ...........2
Now, solving the equation
2 × (5 m + 3 v) - (2 m + 6 v) = 2 × 27 - 36
Or, 10 m + 6 v - 2 m - 6 v = 54 - 36
Or, (10 m - 2 m) + (6 v - 6 v) = 18
Or, 8 m + 0 = 18
∴ m = =
i.e m = $2.25
So, The price of each movie = m = $2.25
Again, put the value of m into eq 2
So, 2 × 2.25 + 6 v = 36
Or, 4.5 + 6 v = 36
Or, 6 v = 36 - 4.5
Or, 6 v = $32.5
∴ v =
i.e v = $5.41
So, The price of each video games = v = $5.41
Hence, The price of each movie is $2.25 and
The price of each video games is $5.41 Answer