SOLUTION: You've received a tip that Mastermind plans to poison the Starling City's water supply with a new compound. Scientists analyze the compound and discover that--over time--it'll bec

Algebra ->  Finance -> SOLUTION: You've received a tip that Mastermind plans to poison the Starling City's water supply with a new compound. Scientists analyze the compound and discover that--over time--it'll bec      Log On


   

Question 1056667: You've received a tip that Mastermind plans to poison the Starling City's water supply with a new compound.
Scientists analyze the compound and discover that--over time--it'll become less toxic over time using this formula:
P = P0e-0.15⋅t

What is the half-life of the compound's toxicity should it get in the water supply?
Number
days

Hint: half-life is when the current P value is half of the starting value, or P0 .

P=

P0=
k=
t =
P0ekt

Initial population
constant of growth
time passed
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
P=P0e-0.15t

P=P[o]e^(-0.15t)
P=P%5Bo%5De%5E%28-0.15t%29


FIND HALF-LIFE.
1%2F2=1%2Ae%5E%28-.15t%29
ln%281%2F2%29=ln%281%29-0.15t
ln%282%29=0-%28-0.15t%29

ln%282%29=0.15t

highlight%28t%5Bhalf%5D=ln%282%29%2F0.15%29