Explanation:It takes carbon-14 isotope sample \(5,730\) years to decay to half of the amount
Let us count the decays from \(16,000\) to \(500\)
\(\frac{16,000}{2} = 8,000\)
\(\frac{8,000}{2} = 4,000\)
\(\frac{4,000}{2} = 2,000\)
\(\frac{2,000}{2} = 1,000\)
\(\frac{1,000}{2} = 500\)
Since, we have \(5\) decays and each decay will take \(5,730\) years. Therefore, \((5)(5,730) = 28,650\) years
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Karun Mendiratta
Founder and Quant Trainer
Prepster Education, Delhi, Indiahttps://www.instagram.com/prepster_education/