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Scientists Often Use a Process Called Carbon Dating to Estimate A(t)=13(12)t/5730A ( t ) = 13 \left( \frac { 1 } { 2 } \right) ^ { t / 5730 }

Question 52

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Scientists often use a process called carbon dating to estimate the age of archaeological finds. The process measures the amount of carbon-14, a radioactive isotope with a half-life of 5730 years. If a sample of wood from an ancient artifact had 13 grams of carbon-14 initially, the amount remaining, in grams, is given by A(t)=13(12)t/5730A ( t ) = 13 \left( \frac { 1 } { 2 } \right) ^ { t / 5730 } where t is the number of years since the tree died. How many grams would be present after 22,920 years?

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