Iodine-125 has a daily decay rate of about 1%. How many milligrams of a 500 mg sample will remain after 300 days? Round the answer to two decimal places.

Question

Mathematics

Jadyn Khan

14 April, 12:54

Iodine-125 has a daily decay rate of about 1%. How many milligrams of a 500 mg sample will remain after 300 days? Round the answer to two decimal places.

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Octavio Kaiser · Answer 1

The general formula for this type of decay is N=No e^0.01t, where No is the original amount, N is the amount remaining after t days, and that 0.01 represents the daily decay rate.

We start with No=500 mg and let t = 300 days. Then,

N = No e^0.01t becomes N = 500 mg e^ (0.01) (300), or N = 500 mg (e^3).

Can you evaluate this on your calculator?