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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}](https://tex.z-dn.net/?f=%20%5Csqrt%5B12%5D%7B0.817%7D%20)
= (1+r2)^(12/12)
1+r2= 0.983298
r2= 0.98329-1= 0.01671= <span>1.67</span>%
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
1+r2= 0.983298
r2= 0.98329-1= 0.01671= <span>1.67</span>%