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s2008m [1.1K]
3 years ago
5

A population of butterflies decreases exponentially at a rate of 18.3% per year.

Mathematics
1 answer:
Maru [420]3 years ago
3 0
The population of butterflies decreases exponentially at a rate of 18.3% per year which equal to 18.3%  per 12 month. The exponent function will look like:
an=a0(1+r)^t

If you want to convert year into the month, it is like convert t into 12 t. The calculation would be:
a0(1+r1)^t = a0(1+r2)^12t
(1-0.183)^1 = (1+r2)^12
(0.817) = (1+r2)^12
\sqrt[12]{0.817} = (1+r2)^(12/12)
1+r2= 0.983298
r2= 0.98329-1= 0.01671= <span>1.67</span>%
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