document.write( "Question 1130481: Last one tonight and I believe this will help complete my study guide for this chapter. Thank you in advance.\r
\n" ); document.write( "\n" ); document.write( "The decay rate of a certain chemical is 9.5​% per year. What is its ​half-life? Use the exponential decay model ​P(t)=P0e Superscript -kt)
\n" ); document.write( "−kt where k is the decay​ rate, and P0 is the original amount of chemical.
\n" ); document.write( "The​ half-life of the chemical is ___years.
\n" ); document.write( "​(Round to the nearest​ integer.)
\n" ); document.write( "

Algebra.Com's Answer #747152 by MathTherapy(10552)\"\" \"About 
You can put this solution on YOUR website!
Last one tonight and I believe this will help complete my study guide for this chapter. Thank you in advance.\r
\n" ); document.write( "\n" ); document.write( "The decay rate of a certain chemical is 9.5​% per year. What is its ​half-life? Use the exponential decay model ​P(t)=P0e Superscript -kt)
\n" ); document.write( "−kt where k is the decay​ rate, and P0 is the original amount of chemical.
\n" ); document.write( "The​ half-life of the chemical is ___years.
\n" ); document.write( "​(Round to the nearest​ integer.)
\n" ); document.write( "
\"matrix%281%2C3%2C+P%28t%29%2C+%22=%22%2C+P%5Bo%5De%5E%28-kt%29%29\" 
\n" ); document.write( "\"matrix%281%2C3%2C+P%28t%29%2FP%5Bo%5D%2C+%22=%22%2C+e%5E%28-+kt%29%29\"
\n" ); document.write( "\"matrix%281%2C3%2C+1%2F2%2C+%22=%22%2C+e%5E%28-+.095t%29%29\" ------- Substituting \"matrix%281%2C7%2C+1%2F2%2C+for%2C+P%28t%29%2FP%5Bo%5D%2C+and%2C+.095%2C+for%2C+k%29\"
\n" ); document.write( "\"matrix%281%2C3%2C+-+.095t%2C+%22=%22%2C+ln+%281%2F2%29%29\" ----- Converting to LOGARITHMIC (Natural) form
\n" ); document.write( " \n" ); document.write( "
\n" );