Digital ACT Math Practice Question #1269
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Divide by 2 repeatedly: $1600 \rightarrow 800 \rightarrow 400 \rightarrow 200 \rightarrow 100 \rightarrow 50 \rightarrow 25$. Takes under 10 seconds.
Calculate the number of half-lives elapsed: $n = \frac{\text{Total Time}}{\text{Half-life}} = \frac{24}{4} = 6$. The remaining activity is given by $A = A_0 \left(\frac{1}{2}\right)^n = 1600 \left(\frac{1}{2}\right)^{6} = \frac{1600}{64} = ...
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