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 1500
grams and mass was decreasing by 8% per day. Determine the mass of the radioactive
sample at the beginning of the 20th day of the experiment. Round to the nearest
tenth (if necessary).

307.7 grams

Step-by-step explanation:

The exponential decay equation with initial value 'A' and rate of decay 'r' ( in decimal) in 't' years is given by :-

As per given , we have

Initial mass of isotope = 1500 grams

Rate of decay : r= 8% =0.08

To find : the mass of the radioactive  sample at the beginning of the 20th day of the experiment ( i.e. after 19 days).

That would be ,

 [Using (i)]

 [Rounded to the nearest tenth]

Hence, the mass of the radioactive  sample at the beginning of the 20th day of the experiment = 307.7 grams

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step-by-step explanation: