is it true when a linear function eventually exceeds a quadratic function with a positive leading coefficient
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The answer is 74,000 years.
It can be calculated using the equation:
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amount remaining, where n is a number of half-lives.
<span>Decimal amount remaining is 0.00012 (= 0.012%). Let's calculate number of half-lives.</span>
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⇒ n ≈ 13
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Now we know that number of half-lives is 13.</span>
Number of half-lives is quotient of total time elapsed and length of
half-life.<span>
<span>So, total time elapsed is a product of length of
half-life (5,730 years) and number of half-lives (13). Since 5,730 years × 13 =
74,490 years, then the person died 74,000 years ago (rounded to the nearest thousand).</span></span>