Question
The half life of Carbon-14 is 5730 years.
a. find the rule of the function that gives the amount remaining from an initial quantity of 100 milligrams of carbon14 after t years.
b. the burial cloth of an egyptian mummy i sestimated to contain 59% of the carbon 14 it contained originally. how long ago was the mummy buried?
a. find the rule of the function that gives the amount remaining from an initial quantity of 100 milligrams of carbon14 after t years.
b. the burial cloth of an egyptian mummy i sestimated to contain 59% of the carbon 14 it contained originally. how long ago was the mummy buried?
Answers
amount = 100 (1/2)^(t/5730)
b)
59 = 100 (.5)^(t/5730)
.59 = .5^(t/5730)
ln .59 = (t/5730) ln (.5)
t/5730 = ln .59/ln .5 = .76121314
t = 4361.75 yrs
b)
59 = 100 (.5)^(t/5730)
.59 = .5^(t/5730)
ln .59 = (t/5730) ln (.5)
t/5730 = ln .59/ln .5 = .76121314
t = 4361.75 yrs