document.write( "Question 1151005: In the formula A = I^ekt, A is the amount of radioactive material remaining from an initial amount I at a given time t and k is a negative constant determined by the nature of the material. A certain radioactive isotope has a half-life of approximately 950 years. How many years would be required for a given amount of this isotope to decay 20% of that amount? \n" ); document.write( "
Algebra.Com's Answer #772583 by josgarithmetic(39617)\"\" \"About 
You can put this solution on YOUR website!
Formula should be A=Ie^(kt), assuming k is negative.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "First part, given half life 950 years
\n" ); document.write( "\"1%2F2=e%5E%28950k%29\"\r
\n" ); document.write( "\n" ); document.write( "\"ln%281%2F2%29=950%2Ak\"\r
\n" ); document.write( "\n" ); document.write( "\"k=ln%281%2F2%29%2F950\"\r
\n" ); document.write( "\n" ); document.write( "\"k=-ln%282%29%2F950\", \r
\n" ); document.write( "\n" ); document.write( "\"k=-0.0007296\"
\n" ); document.write( ".\r
\n" ); document.write( "\n" ); document.write( ".
\n" ); document.write( "
\n" );