Question

In a lab experiment, the decay of a radioactive isotope is being observed. At the beginning of the first day of the experiment the mass of the substance was 1000 grams and mass was decreasing by 14% per day. Determine the mass of the radioactive sample at the beginning of the 10th day of the experiment. Round to the nearest tenth (if necessary).

Answer 1

Answer:

120.91 grams

Step-by-step explanation:

multiply the initial amount by the percent that will remain to the power of n-1, n being the term number, or how many days that have passed.

f(x)=1000(0.85)^14-1

Answer 2

The mass of the radioactive sample at the beginning of the 10th day of the experiment is 221.30 grams if the mass was decreasing by 14% per day.

What is exponential decay?

During exponential decay, a quantity falls slowly at first before rapidly decreasing. The exponential decay formula is used to calculate population decline and can also be used to calculate half-life.

We have:

Mass of the substance = 1000 grams

Rate of decay = 14% per day = 0.14

Let's suppose the mass is m at the beginning of the 10th day of the experiment.

The equation for the exponential decay:

$\rm E = m(1-r)^t$

$\rm m = 1000(1-0.14)^1^0$

m = 1000×0.22130

m = 221.30 grams

Thus, the mass of the radioactive sample at the beginning of the 10th day of the experiment is 221.30 grams if the mass was decreasing by 14% per day.

Learn more about the exponential decay here:

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