Using an exponential function, it is found that it takes 18.6 days for 80% of the material to decay.
The amount of a substance after t days is modeled by:
In which:
- k is the decay rate, as a decimal.
- A(0) is the initial amount.
The half-life is of 8 days, hence , and this is used to find k.
Hence:
The time it takes for 80% of the material to decay it t for which , hence:
It takes 18.6 days for 80% of the material to decay.
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