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-Scientists Often Use a Process Called Carbon Dating $$A ( t ) = 20 \left( \frac { 1 } { 2 } \right) ^ { t / 5,730 }$$

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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 5,730 years. If sample of wood from an ancient artifact had 20 grams of carbon-14 initially, the amount remaining grams, is given by
$$A ( t ) = 20 \left( \frac { 1 } { 2 } \right) ^ { t / 5,730 }$$
where $t$ is the number of years since the tree died. How many grams would be present after 5,730 years?

A) $0.27 \mathrm {~g}$
B) $5 \mathrm {~g}$
C) $40 \mathrm {~g}$
D) $10 \mathrm {~g}$