document.write( "Question 1059891: The mass of a radioactive substance follows a continuous exponential decay model, with a decay rate parameter of
\n" ); document.write( "2.3% per day. Find the half-life of this substance (that is, the time it takes for one-half the original amount in a given sample of this substance to decay).
\n" ); document.write( "Note: This is a continuous exponential decay model.
\n" ); document.write( "Do not round any intermediate computations, and round your answer to the nearest hundredth. \n" ); document.write( "

Algebra.Com's Answer #674966 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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The mass of a radioactive substance follows a continuous exponential decay model, with a decay rate parameter of 2.3% per day.
\n" ); document.write( " Find the half-life of this substance (that is, the time it takes for one-half the original amount in a given sample of this substance to decay).
\n" ); document.write( "Note: This is a continuous exponential decay model.
\n" ); document.write( ":
\n" ); document.write( "let t = no. of days for this to happen
\n" ); document.write( "Assume the initial amt is 1 and the result is .5
\n" ); document.write( "1*(1-.023)^t = .5
\n" ); document.write( ".977^t = .5
\n" ); document.write( "t = $\"ln%28.5%29%2Fln%28.977%29\"$
\n" ); document.write( "t = 29.79 ~ 30 days is the half life of the substance \n" ); document.write( "

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