Carbon-14 has a half-life of 5730 years. An archaeologist discovered that a burial cloth of an Egyptian mummy has 45% of the carbon-14 that it contained originally. a) For how many years has the mummy been buried? (3 marks)b) At what rate is the carbon decaying after 1000 years? Express you answer to the nearest ten-thousandth of a percent per year. (4 marks)