SOLUTION: The mass of a radioactive substance follows a continuous exponential decay model, with a decay rate parameter of
2.3% per day. Find the half-life of this substance (that is, the
Algebra ->
Exponential-and-logarithmic-functions
-> SOLUTION: The mass of a radioactive substance follows a continuous exponential decay model, with a decay rate parameter of
2.3% per day. Find the half-life of this substance (that is, the
Log On
Question 1059891: The mass of a radioactive substance follows a continuous exponential decay model, with a decay rate parameter of
2.3% per day. Find the half-life of this substance (that is, the time it takes for one-half the original amount in a given sample of this substance to decay).
Note: This is a continuous exponential decay model.
Do not round any intermediate computations, and round your answer to the nearest hundredth. Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! The mass of a radioactive substance follows a continuous exponential decay model, with a decay rate parameter of 2.3% per day.
Find the half-life of this substance (that is, the time it takes for one-half the original amount in a given sample of this substance to decay).
Note: This is a continuous exponential decay model.
:
let t = no. of days for this to happen
Assume the initial amt is 1 and the result is .5
1*(1-.023)^t = .5
.977^t = .5
t =
t = 29.79 ~ 30 days is the half life of the substance
