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

Britney Fitzpatrick

25 July, 14:56

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.

+2

Answers (1)

Know the Answer?

Maximo · 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?