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Exponential growth calculator
Exponential growth
Some things grow or decay in an exponential way. This means that for every time unit (e.g. a day) the metric changes with ± the same percentage.
If you can say "
it doubles every _ days
" => this means it has
exponential growth/increase
! If you can say "
it drops to half every _ days
", it has
logarithmic decay/decrease
!
Data Point 1
Data Point 2
Time in between
sec
min
hour
day
week
month
year
decade
century
Calculate !
Growth calculation
Exponential factor
100 → 110 = multiply by 1.10 (or + 10.00 %) in 1 month(s)
multiply by 1.02 (or + 2.22 %) in 1
week
multiply by 1.10 (or + 10 %) in 1
month
multiply by 3.14 (or + 214 %) in 1
year
multiply by 93291.90 in 1
decade
goes x
2
every 7.27 month(s)
goes x
5
every 1.41 year(s)
goes x
10
every 2.01 year(s)
goes x
100
every 4.03 year(s)
Extrapolation of data points
start point
100
data point
after 7.60 day
102
interpolation
after 15.21 day
105
interpolation
after 22.81 day
107
interpolation
after 30.42 day
110
data point
after 5.43 week
113
extrapolation
after 6.52 week
115
extrapolation
after 7.60 week
118
extrapolation
after 8.69 week
121
extrapolation
after 9.78 week
124
extrapolation
after 10.86 week
127
extrapolation
after 11.95 week
130
extrapolation
after 13.04 week
133
extrapolation
Examples
Carbon-14 has a radioactive half-life of 5730 years
Social Media: Facebook grew from 1 mio MAU in 2004 to 2.32 bil in 2018
Moore's Law: number of transistors on a chip doubles every 2 years (1990-2010)
Growth of people infected by COVID-19 in the USA between 15 and 29 March 2020
Business: month on month double digit growth = x 3.14 per year