1. An archaeologist can determine the approximate age of certain ancient specimens by measuring the amount of carbon-14, a radioactive substance, contained in the specimen. The formula used to determinethe age of a specimen is A = A0(2)s;;o, where Ais the amount of carbon-14 that a specimen contains, A0 is the original amount of carbon-14, t is the time in years, and 5760 is the half-life of carbon-14. A specimen that originally contained 120 milligrams of carbon-14 now contains 100 milligrams of the substance. What is the age of the specimen, to the nearesthundred years? 2. Actinium - 226 is used in medicine as an agent for radio-immunotherapy. Actinium-226 has a half- life of 29 hours. If a laboratory experiment begins with 10 g of Actinium-226, write an equation that could be used to nd A. the amount of Actinium226 after t hours