(Solved): Chemical \( X \) decays exponentially. The amount, \( A(t) \), of one particular sample of Chemical ...

Chemical \( X \) decays exponentially. The amount, \( A(t) \), of one particular sample of Chemical \( \mathrm{X} \) is given by the function \[ A(t)=25.4 e^{-2 t} \] where \( A(t) \) is in grams and \( t \) is time in years. a) How many grams of Chemical \( \mathrm{X} \) are initially present? (4 points) b) How many years will it take for the amount of Chemical \( \mathrm{X} \) to decay to 8 grams? Solve symbolically for the exact value, then round your answer to one decimal place. (5 points)