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An anthropologist finds bone that her instruments measure it as 0.526% of the amount of Carbon-14 the bones would have contained when the person was alive. How long ago did the person die?

Respuesta :

At year after death, C = Co*(1/2)^(y/5730)

C = Co*0.00556

Co*0.00556 = Co*(1/2)^(y/5730)
0.00556 = (1/2)^(y/5730)
ln(0.00556) = (y/5730)*ln(0.5)
y/5730 = ln(0.00556)/ln(0.5)
y = 5730*ln(0.00556)/ln(0.5)
y =~ 42921.7
y =~ 43000 years 

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