We will determine the time it takes as follows:
We have to follow the expression:
[tex]y=a(1-p)^t[/tex]
Here y is the value to obtain, a is the original value, p is the percentage and t is the time it takes:
Now, we solve for t:
[tex]100=500(1-0.25)^t\Rightarrow\ln (100)=t\ln (500(0.75))[/tex][tex]\Rightarrow t=\frac{\ln(100)}{\ln(375)}\Rightarrow t\approx0.8[/tex]
It will take 0.8 units of time [Since there are no units given].
