Given that carbon-15 has a radioactive half-life of approximately 2 seconds, how much of a 5kg sample of carbon-15 would be left after 3 seconds? Note that the equation A(t)=A0at describes the amount of carbon-15 remaining after t seconds (as usual, A0 is the amount at time t=0 ). Round any intermediate calculations, if needed, to no less than six decimal places, and round your final answer to three decimal places.