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
Combine like terms
8x+24=x+5
subtract x from both sides
8x+24=x+5
-x -x
7x+24=5
subtract 24 from both sides
7x+24=5
-24 -24
7x = -19
divide 7 from both sides
7x = -19
7x/7 = -19/7
x= -19/7
As all the males could have a driving license then the maximum is 70.
50 of the applicants are female and could all have a driving license. If there are 80 in total who have a driving license then the minimum number of males having a license is 30
Answer: f(x)= (3/4)^x/2 —> Decay
f(x)=(4/3)^x —> Growth
f(x)=(5/6)^3x —> Decay
f(x)=(8/3)^x/3 —> Growth
f(x)=(3/2)^2x —> Growth
Step-by-step explanation: When you graph them one by one, for example, the first equation (f(x)= (3/4)^x/2), the graph would have an asymptote on the right side, meaning that it’s decaying.
Straight up explanation: if the asymptote on the graph is on the left then it is growing, but if the asymptote is on the right then it’s decaying.
Asymptote is the “line” that almost touches the x axis.
Find the difference between each term, (e.g 3,5,7,9 —> the difference is 2 so it would be 2n) and then you minus that number from the first term (3-2=1) so therefore the nth term for that sequence would be 2n + 1
