Situation:
A farmer in China discovers a mammal hide that contains 54% of it's original amount of c-14.
Find the age of the mammal hide to the nearest year.
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OpenStudy (anonymous):
this sounds like biology or something.
OpenStudy (anonymous):
it's math.
OpenStudy (anonymous):
Ok well maybe I just don't get it... What class is it for?
OpenStudy (anonymous):
algebra 2
OpenStudy (anonymous):
really? is there any other information with the problem?
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OpenStudy (anonymous):
\[N = N _{0}e ^{-kt}\]
OpenStudy (anonymous):
N is amout remaining now; and No is initial amount?
OpenStudy (anonymous):
correct
OpenStudy (anonymous):
so, N =54, No =100 and what is k?
OpenStudy (anonymous):
54/100 = e^(-k *t)
log(.54) =-k *t
if u were given the value of k, just plug in and findout t.
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OpenStudy (anonymous):
k = .0001
OpenStudy (anonymous):
plug in
log(.54) = -0.0001 * t
log(.54) / -0.0001 = t
OpenStudy (anonymous):
i dont hav the calculator with me now, u have to feed it in and see what T is.
OpenStudy (anonymous):
log (.54) is a -ve value / - value of that k = +ve time...so thats right