Question 35470
a.)A(t)=500e^(-0.05t)
A(0)=500(1)
Initially, the amount was 500 grams.
b.)A(t)=500e^(-0.05t)
A(10)=500e^(-0.5)
Since I do not have a calculator with 'e', I'll let you solve the rest.
c.)250=500e^(-.05t) the end result is half of the initial (500) so (250)
.5 = e^(-.05t)
ln .5 = -.05t take the natural log of each side
(ln .5)/(-.05) = t
The time for half life of the radioactive element is about 13.86 days.