Using an exponential function, it is found that 0.6% of the original carbon 14 in the charcoal was present.
What is the exponential function?
The exponential function for the amount of the substance after t years is given by:
[tex]A(t) = A(0)e^{-kt}[/tex]
k is the exponential decay rate, given by:
k = ln(2)/5600 = 0.00012377628.
Hence:
[tex]A(t) = A(0)e^{-0.00012377628t}[/tex]
The amount after 41,000 years is given as follows:
[tex]A(41000) = A(0)e^{-0.00012377628 \times 41000}[/tex]
A(41000) = 0.006A(0).
Hence:
0.6% of the original carbon 14 in the charcoal was present.
More can be learned about exponential functions at https://brainly.com/question/25537936
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