Question 688333
I'm getting t = 35 since I got t = 34.71486756 and rounded to the nearest integer.



A = Ao*e^(k*t)


1700 = 1000*e^(k*(-8))


1700/1000 = e^(k*(-8))


1.7 = e^(k*(-8))


-8k = ln(1.7)


k = ln(1.7)/(-8)


k = -0.0663285


-------------------------------------------


A = Ao*e^(k*t)


A = 1000*e^(-0.0663285*t)


100 = 1000*e^(-0.0663285*t)


100/1000 = e^(-0.0663285*t)


0.1 = e^(-0.0663285*t)


-0.0663285t = ln(0.1)


t = ln(0.1)/(-0.0663285)


t = 34.71486756


So it will take 35 years