Initially 100 milligrams of a radioactive substance was present. After 6 hours the mass had decreased by 7%. If the rate of decay is proportional to the amount of the substance present at time t, find the amount remaining after 24 hours. (Round your answer to one decimal place.)

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Answer:

The amount remaining after 24 hours is 17.5 milligrams.

Step-by-step explanation:

The rate of decay is proportional to the amount of the substance present at a time

The equation is

Rate=k*amount remaining at(time)

Where k = constant of proportionality.

So we don't know the value of k, let's find it.

7= k(70)(6)

K= 1/60

Amount remaining after 24 hours

7= 1/60 * x* (24)

(60*7)/24= x

17.5 = x

The amount remaining after 24 hours is 17.5 milligrams.

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