document.write( "Question 1202994: The function A = A0e^(-0.0099x) models the amount in pounds of a particular radioactive material stored in a concrete vault, where x is the number of years since the material was put into the vault. How many years will it be until 30% of the original amount remains in the vault? Round off to the nearest year. \n" ); document.write( "
Algebra.Com's Answer #838208 by josgarithmetic(39617)\"\" \"About 
You can put this solution on YOUR website!
\"A=ae%5E%28-0.0099x%29\" to make the text symbols easier to manage\r
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\n" ); document.write( "\n" ); document.write( "According to question, ....., \"0.3=1%2Ae%5E%28-0.0099x%29\" and you want to solve for x.\r
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\n" ); document.write( "\n" ); document.write( "\"ln%280.3%29=ln%28e%5E%28-0.0099x%29%29\"\r
\n" ); document.write( "\n" ); document.write( "\"ln%280.3%29=-0.0099x%2Aln%28e%29\"\r
\n" ); document.write( "\n" ); document.write( "\"ln%280.3%29=-0.0099x%2A1\"\r
\n" ); document.write( "\n" ); document.write( "\"x=ln%280.3%29%2F%28-0.0099%29\"---------and you can finish computing this...
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