Digital ACT Math Practice Question #1268
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Divide by 2 repeatedly: $1280 \rightarrow 640 \rightarrow 320 \rightarrow 160 \rightarrow 80 \rightarrow 40$. Takes under 10 seconds.
Calculate the number of half-lives elapsed: $n = \frac{\text{Total Time}}{\text{Half-life}} = \frac{300}{60} = 5$. The remaining activity is given by $A = A_0 \left(\frac{1}{2}\right)^n = 1280 \left(\frac{1}{2}\right)^{5} = \frac{1280}{32} ...
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