Solve.
-In the formula A = Iekt, 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 55% 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.)
A) 4783 yr
B) 2077 yr
C) 4400 yr
D) 3600 yr

Question

Quizplus · Accepted Answer

Given the decay rate of carbon-14 is 0.0125% annually, we can convert this to a decimal to use in the formula, which gives us k = -0.000125. The formula A = Ie^(kt) can be rearranged to solve for t (time), given that A (the remaining amount of carbon-14) is 55% of the initial amount I. Plugging in the values, we solve for t and round to the nearest year, which gives us approximately 4783 years.

Solve. -In the Formula a = Iekt, a Is the Amount