Answer: 60.5
Step-by-step explanation:
The forecast for the next period using the simple exponential smoothing method is given by:
, where D= actual demand for the recent period,
smoothing factor, F= forecast for the recent period .
Given: D= 64,
, F= 59
The forecast for the next period = 

Hence, the forecast for the next period = 60.5
Answer:
Nathan: 2x+30
Olivia: 4x+15
Step-by-step explanation:
x is the number of weeks
Nathans account is as follows
2x+30
(2 dollars a week plus the 30 dollars already there)
Olivia's account is as follows
4x+15
(4 dollars per week plus the 15 already in there)
Math Find the Distance Between Two Points (3,4) , (-2,1)
(
3
,
4
)
(
3
,
4
)
,
(
−
2
,
1
)
(
-
2
,
1
)
Use the distance formula to determine the distance between the two points.
Distance
=
√
(
x
2
−
x
1
)
2
+
(
y
2
−
y
1
)
2
Distance
=
(
x
2
-
x
1
)
2
+
(
y
2
-
y
1
)
2
Substitute the actual values of the points into the distance formula.
√
(
(
−
2
)
−
3
)
2
+
(
1
−
4
)
2
(
(
-
2
)
-
3
)
2
+
(
1
-
4
)
2
Simplify.
Tap for more steps...
√
34
34
The result can be shown in multiple forms.
Exact Form:
√
34
34
Decimal Form:
5.83095189
…
Answer:
Convert £15 to pence
Hence £15.00p = 1500p
Divide 1500p by 25p
Hence
25)
1500( = 60
150
_____
= 0 + 0
Anothrt way
1500/25
Cancel down by '5'
300 / 5
Cancel down by '5' again
60/1 = 60
Hence 60 pencils were purchased.
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