Mathematics, 01.07.2019 11:30, icantdomath4910
Twenty percent of a radioactive substance decays in ten years by what percent does the substance decay each year
Answers: 1
each year if twenty percent of a radioactive substance decays in ten year.
represents the initial amount, 
is the final amount,
is the rate of decay, and 
represents the time.
![\begin{aligned}0.80A &= A{\left( {1 - r} \right)^{10}}\\\frac{{0.80A}}{A} &= {\left( {1 - r} \right)^{10}}\\0.80 &= {\left( {1 - r} \right)^{10}}\\\sqrt[{10}]{{0.80}} &= 1 - r\\r&= 1 - \sqrt[{10}]{{0.80}}\\r&= 1 - 0.978\\r&= 0.022\\\end{aligned}](/tpl/images/0038/5270/635b3.png)
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Twenty percent of a radioactive substance decays in ten years by what percent does the substance dec...
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