SOLUTION: Use the formula {{{N=Ie^kt}}}, where N is the number of items in terms of the initial population I, at time t, and k is the growth constant equal to the percent of growth per unit

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Question 327777: Use the formula , where N is the number of items in terms of the initial population I, at time t, and k is the growth constant equal to the percent of growth per unit of time. An artifact is discovered at a certain site. If it has 65% of the carbon-14 it originally contained, what is the approximzte age of the artifact? (carbon-14 decays at the rate of 0.0125% annually.)

possible answers(5200 years, 3446 years, 1497 years, 2800 years.)

Answer by ankor@dixie-net.com(22740)   (Show Source): You can put this solution on YOUR website!
Use the formula , where N is the number of items in terms of the initial population
I, at time t, and k is the growth constant equal to the percent of growth per unit of time.
:
An artifact is discovered at a certain site.
If it has 65% 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.)
:

where:
N = .65
I = 1
k = -.000125, decay is negative
Find t
:

Using nat logs

Find ln
-.000125t = -.43078
t =
t = +3,446 yrs

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