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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 1300 grams and mass was decreasing by 6% per day. Determine the mass of the radioactive sample at the beginning of the 8th day of the experiment. Round to the nearest tenth (if necessary).

Respuesta :

The mass of the radioactive sample at the beginning of the 8th day of the experiment a_13=310.7.

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 1300 grams and the mass decreased by 6% per day.

What is the formula of the nth term?

[tex]a_n=a_1r^{n-1}[/tex]

Use the given value in the formula so we get,

[tex]a_{13}=1100(0.9)^{13-1}[/tex]

Simplify the given term

[tex]a_{13}=310.7[/tex]

Therefore, The mass of the radioactive sample at the beginning of the 8th day of the experiment a_13=310.7.

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