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# q1 - r 3 Find the quantity left after 100 days 4 Determine...

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MA366 F 11 Quiz 1 Name/Sec. A certain radioactive material was known to be 100g in the beginning and is reduced to 92g in 10 days. Use this information to find its decay rate. This means, find r such that dQ dt = - rQ , where t is measured in days. Hint: Answer the following questions which will lead you to an answer. 1. Find the formula for the quantity Q ( t ) left after t days. 2. Use the formula and the given information to find

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Unformatted text preview: r . 3. Find the quantity left after 100 days. 4. Determine the number of days after which exactly half the original amount would be left. 1 Key 1. Q = 100 e-rt where r = 0 . 008338160894 2. r = ln (0 . 92)-10 = 0 . 008338160894 3. Alternate formula Q = 100(0 . 92)-t 10 , so 100(0 . 92) 100 / 10 = 43 . 43884542 4. 10 ln (1 / 2) /ln (0 . 92) = 83 . 12950416. 2...
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