A preserved plant contains 10 micrograms (10 millionths of a gram) of Carbon-14. The amount of Carbon-14 present in the preserved plant is modeled by the model

denotes time in years since the death of the plant and A is the amount of Carbon-14 present in the plant when it died, measured in micrograms. How many micrograms of Carbon-14 were present in the living plant if it died 1000 years ago? Round your answer to the nearest four decimal places.