Apparently you are asked to use the constant k = 0.0001 instead of the most common 0.00012. We'll answer the problem using such number you typed, but make sure that there is no omission in your typing.

The equation to use is that for carbon decay:

$N(t)=N_0\,e^{-0.0001\,\,t}$

If the skull contains 54% of its original amount of C14, then that means that :

$N(t)=0.54 \,\,N_0$

we use this to solve for the time (t) in our equation:

$0.54\,\,N_0=N_0\,e^{-0.0001\,\,t}\\\frac{0.54\,\,N_0}{N_0}=e^{-0.0001\,\,t}\\0.54=e^{-0.0001\,\,t}\\ln(0.54)=-0.0001\,\,t\\t=\frac{ln(0.54)}{-0.0001} \\t=6161.86\,\,years$

which rounded to the nearest year as requested gives :

t = 6162 years

8 0

3 years ago

What is a grouping symbol?

aalyn [17]

Answer:

Algebraic grouping symbols parentheses, brackets, braces, radicals, and fraction lines show where a group starts and ends, and help to establish the order used to apply math operations. Terms inside a grouping symbol have to be operated upon before they can be acted upon by anything outside the grouping symbol.

Thanks for letting me help!!

5 0

4 years ago

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