What do exponential growth and decay have in common?

They both work with the same equation: ##N=B*g^t## Where ##N=## new situation ##B=## begin ##g=## growth factor ##t=## time

If the growth-factor is greater than ##1##, then we have a growth. If it is less than ##1## we call it decay. (if ##g=1## nothing happens, a stable situation)

Examples: (1) A population of squirrels, starting at 100, grows by 10% every year. Then ##g=1.10## and the equation becomes: ##N=100*1.10^t## with ##t## in years. (2) A radio-active material with original activity of 100, decays by 10% per day. Then ##g=0.90## (because after a day only 90% will be left) and the equation will be: ##N=100*0.90^t## with ##t## in days.

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