Researchers conducted carbon dating on a set of remains to determine if the remains belonged to Caravaggio. The following formula can be used to estimate the age of an artifact using
carbon-14 dating
t = -[In(Nf = No). thalt] = 0.693
In = natural log
t = age of the artifact (in years)
thalf = half-life of carbon-14 = 5,700 years
Nf = amount of carbon-14 found in the artifact
No = amount of carbon-14 found in the living organism before death
If the ratio of Nf to No for an artifact is 0.55, what is the estimated age of the artifact?