# SOLUTION: In the formula A=I^ekt, A is the amount of radioactive material remaining from an initial amount I at a given time t and k is a negative constant determined by the nature of the ma

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 Click here to see ALL problems on logarithm Question 151243: In the formula A=I^ekt, A is the amount of radioactive material remaining from an initial amount I at a given time t and k is a negative constant determined by the nature of the material. An artificat is discovered at a certain site. If it has 53% of the carbon of the carbon-14 it originally contained, what is the approximate age of the artificat? (carbon-14 decays at the rate of 0.0125% annually.) Round to the nearest year.Answer by stanbon(57347)   (Show Source): You can put this solution on YOUR website! In the formula A=I^ekt, A is the amount of radioactive material remaining from an initial amount I at a given time t and k is a negative constant determined by the nature of the material. An artifact is discovered at a certain site. If it has 53% of the carbon of the carbon-14 it originally contained, what is the approximate age of the artifact? (carbon-14 decays at the rate of 0.0125% annually.) Round to the nearest year. ---------------------- 0.53I = Ie^(-0.000125t) 0.52 = e^(-0.000125t) Take the natural log to get: -0.000125t = ln(0.52) t = 5231.41 rounded down t = 5231 years. ================== Cheers, Stan H.