SOLUTION: A radioactive substance decays so that after t years, the amount remaining, expressed as a percent of the original amount, is {{{A(t) = 100(1.5)^(-t)}}} Determine the rate of dec

Algebra.Com
Question 1163396: A radioactive substance decays so that after t years, the amount remaining,
expressed as a percent of the original amount, is
Determine the rate of decay after 2 years. Round to 2 decimal places.

Found 2 solutions by ankor@dixie-net.com, ikleyn:
Answer by ankor@dixie-net.com(22740)   (Show Source): You can put this solution on YOUR website!
A radioactive substance decays so that after t years, the amount remaining,
expressed as a percent of the original amount, is
Determine the rate of decay after 2 years. Round to 2 decimal places.
:
t = 2
Put this in your calc 100(1.5)^(-2)
44.44 % remain after 2 years

Answer by ikleyn(52931)   (Show Source): You can put this solution on YOUR website!
.

Exponential rate of decay per year "r" remains THE SAME during the entire decay process 

(i.e. FOREVER, or, more precisely, until the last radioactive atom decayed :-).


It is equal to  r =  =  =  =  = 0.666666...  or  66.6666%  of the mass per year.



By the way, when you formulate a problem like this one, you should tell in your question, which rate of decay do you mean:

    exponential coefficient of decay or linear coefficient at the given time.



These are two different values and two different conceptions.


Without clarification, the meaning of the question is dark / unclear.


/\/\/\/\/\/\/\/

What the tutor ankor@dixie-net.com wrote in his response,  was not an answer to your question.

It was something   V E R Y   different.   It was about the remained mass amount after 2 years.


-------------

On radioactive decay problems,  see the lesson
    - Radioactive decay problems
in this site.



RELATED QUESTIONS

a radioactive substance decays in such a way that the amount of mass remaining after t... (answered by josgarithmetic)
Find the half-life of a certain radioactive substance which decays according to the... (answered by ikleyn)
Find the half-life of a certain radioactive substance which decays according to the... (answered by josgarithmetic,ikleyn)
Find the half-life of a certain radioactive substance which decays according to the... (answered by ikleyn)
A standard measurement of the speed at which a radioactive substance decays is its half... (answered by ewatrrr)
A radioactive substance decays in a way that the amount of mass remaining after (t) days... (answered by ankor@dixie-net.com)
A radioactive substance decays in such a way that the amount of mass remaining after t... (answered by lwsshak3)
A radioactive substance decays in such a way that the amount of mass remaining after t... (answered by josgarithmetic)
Radioactive strontium-90 is used in nuclear reactors and decays according to A =... (answered by ankor@dixie-net.com)