SOLUTION: Please help me with this word problem: The probability of a transistor failing within t months is given by P(t)=1-e^-0.016t. Use logarithms to determine within how many months the

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Please help me with this word problem: The probability of a transistor failing within t months is given by P(t)=1-e^-0.016t. Use logarithms to determine within how many months the       Log On


   

Question 616868: Please help me with this word problem: The probability of a transistor failing within t months is given by P(t)=1-e^-0.016t. Use logarithms to determine within how many months the probability of failure will be 99.99% Round to two decimal places.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi, 

P(t)=1-e^-0.016t. 

within how many months the probability of failure will be 99.99% OR .9999

 .9999 = 1-e^-0.016t. 

 e^-0.016t = .0001

   -.016t = ln(.0001) 

        t =  ln(.0001)/-.016

        t = 574.65 months