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Question

The amount of​ carbon-14 present in animal bones after t years is given by A(t)=A₀e^-0.00012t. A sample of fossil had 26% of the carbon 14 of a contemporary living sample. Estimate the age of the sample. Round to the nearest year as needed.

Answer 1

A(t) = 0.26A₀; so, 0.26A₀e^-0.00012t; ln(0.26) = - 0.00012; t = ln(0.26)/(-0.00012) = 11225.6 years