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Mathematics 19 Online
OpenStudy (anonymous):

radioactive potassium -42 ,which is used by cardiologists as a tracer has a half-life of about 12.5 hours. If an office supply contains 100 gm at 9am tuesday how much will remain by 5 pm wednesday

OpenStudy (anonymous):

using the half -life formua \[N= N0b^t/k\]

OpenStudy (anonymous):

yes. \[ N_0=\text{initial amount}=100\rm{gm}\\ t=\text{amount of time}\\ k = \text{half-life}=12.5\rm{hrs} \]

OpenStudy (anonymous):

now, we need to find out how many hours it is from 9am Tuesday to 5pm Wednesday \[t=24(1\rm{day})+(3\rm{hrs}+5\rm{hrs})=32\rm{hrs}\] the important thing is to have the same units for "t" and "k"

OpenStudy (anonymous):

oh ok at first i had 12.5 for N0

OpenStudy (anonymous):

thats why i got confused

OpenStudy (anonymous):

k

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