Ahiker in africa discovers a skull that contains 54% of its original amount of c-14. find the age of the skull in the nearest year.

The half - life of C - 14 is 5.730 years ( +/- 30 years ).Carbon dating has given the archaeologists a more accurate method for the determination of the age of ancient artifacts.The equation is:P ( t ) = P o * e^( k t ),where: k = - 0.00120968.P ( t ) = 0.54 ( 54%) and P o = 1.0.54 = e^( - 0.00120968 t )   /  lnln 0.54 = ln e^( - 0.000120968 t )ln 0.54 = - 0.000120968 t ) * ln e  /  ( and ln e = 1 )- 0.616186 = - 0.000120968 tt = ( - 0.616186 ) : ( - 0.000120968 )t = 5,093.8 ≈ 5,094 years The age of the skull is 5,094 years.

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