Respuesta :

6 years ago t = 0 

1500 = A0 e^0

Ao = 1500 

when t = 6  A = 900 so
900 = 1500e^6k
e^6k =  900/1500 = 0.6

6k  = ln 0.6
so k =  -0.08514
 when A = 100

100 = 1500 e^-0.08514t
e^-0.08514t =  0.066667

t =  31.8  or 32 years

Number of years from now = 32 - 6  = 26 years answer
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