The value of t that makes the factor e^(.032t) have the value of 2 can be found using logarithms.
2 = e^(0.032t)
ln(2) = ln(e^(0.032t)) = 0.032t
t = ln(2)/0.032 ≈ 21.66
It would take 21.66 years for the cost to double.
Perimeter of a rectangle= 2(length)+2(width)
Data:
Perimeter=108 cm
length=18 cm
therefore:
108 cm=2(18 cm)+2(width)
108 cm=36 cm+2 (width)
2 width=108 cm -36 cm=
2 width=72 cm
width=72cm/2
width=36 cm
Answer: the width of the picture frame would be 36 cm.
The answer would be C.. It can also be written as a:b or a to b
Step-by-step explanation:
y=-2x²-25x+10
=x²+25/2x-5
Answer:
Range =94
σ² = 1,141.564
Standard Deviation = 33.78703
Step-by-step explanation:
First off to find the range, we find the highest value and subtract it to the lowest value. In this situation the values are:
Highest = 99
Lowest = 5
Range = 99 - 5
Range = 94
Now to find the variance of the sample data set, we first need to find for the mean of the data.
The mean of the data with be the sum of all the numbers in the data set divided by the number of samples.
5 + 14 + 26 + 50 + 60 +72 + 79 + 88 + 93 +94 + 99
That would equal 680
Then you divide the number of samples and that is 11 so the next equation is 680 divided by 11
So the then-
Mean = 61.81818
Now to find the variance we simply use the formula:
Now to find the variance we simply use the formula:
σ²=
σ²=
σ²=
σ²=
Now to find the standard deviation, we take the variance and get the square root of it.
Standard Deviation=
Standard Deviation=
HOPE THIS HELPS :)