The decay of a particular radioactive substance is given by the formula----UPLOADED----where t is the time it takes for half of the substance to decay, and N(0) is the initial amount of the substance. Find the half-life of this substance to the nearest thousandth of a year.

Question

anonymous · Answer

attachment

anonymous · Answer

$$\frac{1}{2}N_{0}=N_{0}e^{-1.8t}\implies e^{-1.8t}=\frac{1}{2}\implies-1.8t=\ln (\frac{1}{2})\implies t=-\frac{\ln(\frac{1}{2})}{1.8}\approx0.385$$

anonymous · Answer

answer is 0?

anonymous · Answer

to the nearest thousandth means 3 places to the right of the decimal.

anonymous · Answer

so wht does that meant to the proble im not getting the right answer

anonymous · Answer

no, it means the answer as bendt stated above is 0.385

anonymous · Answer

so thaat answer that is not a choice it is multiple choice

sriram · Answer

in the given equation t is in what units?

anonymous · Answer

time right

anonymous · Answer

----where t is the time it takes for half of the substance to decay

anonymous · Answer

what are you choices?

anonymous · Answer

ok never mind haha thanks guys!