The amount of radioactive element remaining, r, in a 100mg sample after d days is represented using the equation r=100 (1/2) d/5. What is the daily percent of decrease

Question

Mathematics

Maren Gaines

27 December, 11:19

The amount of radioactive element remaining, r, in a 100mg sample after d days is represented using the equation r=100 (1/2) d/5. What is the daily percent of decrease

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Nadia Norris · Answer 1

12.94%

Step-by-step explanation:

r = 100 (1/2) ^ (d/5) = 100 ((1/2) ^ (1/5)) ^d ≈ 100 (.87055) ^d

The daily decrease is 1 - 0.87055 = 0.12944 ≈ 12.94%