SOLUTION: The value V of a stand by generator after t years of depreciation is given by the formula V(t)=57000e^(-0.2t)+3500. Approximately how many years will it take for the value to depre

Algebra ->  Equations -> SOLUTION: The value V of a stand by generator after t years of depreciation is given by the formula V(t)=57000e^(-0.2t)+3500. Approximately how many years will it take for the value to depre      Log On


   



Question 1101029: The value V of a stand by generator after t years of depreciation is given by the formula V(t)=57000e^(-0.2t)+3500. Approximately how many years will it take for the value to depreciate to $5000?
Answer by jorel1380(3719) About Me  (Show Source):
You can put this solution on YOUR website!
5000=57000e^-0.2t +3500
1500=57000e^-0.2t
0.02631578947368421052631578947368=e^-0.2t
ln 0.02631578947368421052631578947368=ln e^-0.2t=-0.2t ln e=-0.2t
t=18.188 years before the generator depriciates to $5000
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