## University Calculus: Early Transcendentals (3rd Edition)

The fossil $6658.3$ years old.
The half life for carbon is 5700 years. Radioactive decay formula is: $y_0e^{-kt}=0$ This implies that $k=\dfrac{\ln 2}{5700}$ $e^{-\dfrac{\ln 2}{5700}t}=0.445$ Thus, $-\dfrac{\ln 2}{5700} t=\ln (0.445)$ so, $t=6658.3~years$