The time required for a 6.95 sample to decay to 0.850 if it has a half-life of 27.8 days is 255 days/
Radioactive decay is based on half-lifes, specifically the reciprocols of powers of 2. The equation for decay is...
AN = A0 2(-N/H), where A is activity, N is number of half lives, and H is half life. Calculating for the question at hand...
0.850 = 6.95 2(-N/27.8)
0.122 = 2(-N/27.8)
log2(0.122) = -N/27.8
-3.04 = -N/27.8
N = 9.16, or TN = (9.16) (27.8) = 255
08:50 is 8.50am or 10 minutes to 9 in the morning.
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So if you know that low tide is at 0800 today you can estimate that it will be at 0850 tomorrow.
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