If a tree dies and the trunk remains undisturbed for 13845 years,what percentage of original is still present? (half-life of = 5730 years)

Question

If a tree dies and the trunk remains undisturbed for 13845 years,what percentage of original  is still present? (half-life of  = 5730 years)

Quizplus · Accepted Answer

The half-life of 11eac9a9_4b55_5152_acc3_db03fd0950f1_TB7480_11 is 5730 years, which means that after that amount of time, half of the original amount of 11eac9a9_4b55_5151_acc3_5be13de594b1_TB7480_11 would remain. After two half-lives (11460 years), a quarter of the original amount would remain, and so on. Since 13845 years is more than two half-lives, we can use the formula:

amount remaining = (1/2)^(time/half-life) * original amount

Plugging in the values, we get:

amount remaining = (1/2)^(13845/5730) * original amount

amount remaining = 0.190 * original amount

So only 19.0% of the original amount of 11eac9a9_4b55_5151_acc3_5be13de594b1_TB7480_11 would still be present. Therefore, the correct answer is D.

If a Tree Dies and the Trunk Remains Undisturbed for 13845