How Old is the Glacier Mummy Based on Carbon-14 Analysis?

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Homework Statement


In 1991, hikers found the frozen remains of a man in a glacier in the Alps, near the Austrian-Italian border. Carbon-14 analysis of tissue samples taken from the body revealed that the ratio of carbon-14 was 52.7% of what it was originally. Calculate the age of the body.


Homework Equations


N = No (1/2) (t/T(1/2))
(half-life equation)


The Attempt at a Solution


First I rearranged N = No (1/2) (t/T(1/2)) and adding the information to it.
I got t = 5730 yrs [log(0.527) / log(.5)]

after i did the calculations i found that
t = 5295 yrs.

So the age of the body should be approx. 5295 yrs old.

Can someone confirm please? thanks
 
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