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Mathematics 14 Online
OpenStudy (erich):

please help a hiker in africa discovers a skull that has 72 percent of its orignal amount of C-14

OpenStudy (phi):

do you know the half-life of carbon-14 ?

OpenStudy (erich):

nope

OpenStudy (phi):

to do this problem, you need that info. Is there more info on this question that you did not post?

OpenStudy (erich):

i only have like 2 questions left and i am done with the unit but i have to get them right

OpenStudy (phi):

you have not posted the full question

OpenStudy (erich):

k=0.0001

OpenStudy (phi):

what formula have you been studying ? also, what units does "k" have ? years ? hours ?

OpenStudy (erich):

the formula is noe-kt

OpenStudy (phi):

do you mean \[ N= N_0 e^{-kt} \] ?

OpenStudy (erich):

yes

OpenStudy (phi):

if you divide both sides by \(N_0\) you can write that as \[ \frac{N}{N_0} = e^{-kt}\] N/N0 is a fraction, and in your problem, will be 0.72 (72% is 72/100 or 0.72) I solve for t, using the numbers \[ e^{-0.0001 t} = 0.72 \]

OpenStudy (erich):

so t = 0.72

OpenStudy (phi):

e^(-kt) is 0.72 to solve your equation, you should "take the log" of both sides can you do that ?

OpenStudy (erich):

idk how to do it man

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