SOLUTION: A particular compound decays according to the equation y =ae^-0.0974t, where t is in days. Find the half-line of this compound.

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Question 330262: A particular compound decays according to the equation y =ae^-0.0974t, where t is in days. Find the half-line of this compound.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Half-life, when 1/2 of the original quantity remains.
%281%2F2%29a+=ae%5E%28-0.0974t%29
e%5E%28-0.0974t%29=1%2F2
-0.0974t=ln%281%2F2%29
t=ln%281%2F2%29%2F0.0974 or approximately,
t=7.12 days.