An artifact was discovered by an archeologist, who intially estimated it to be about1500 years old. Than, after carbon-14 analysis was completed, it was determinedthat the carbon-14 contained in the artifact decreased from 16 grams originally to12 grams now, so that 75% of its original amount of carbon-14 remains. After themathematical investigation was completed, this model was created:P(t) = 16e^-0.00012where P(t) is the amount of carbon-14 remaining after 't' years. Whatconclusion should be made about the age of the artifact?1) The initial estimate by the archeologist was not correct; the artifact is about2300 years old.2) The initial estimate by the archeologist was correct; the artifact is about 2300years old.3) The initial estimate by the archeologist was correct; the artifact is about 1500years old.4) The initial estimate by the archeologist was not correct; the artifact is about25,000 years old.