document.write( "Question 177441: My daughter missed this class friday and has a final monday morning..can you please show how to get answer and correct answer? Superman has a violent reaction to red kryptonite which decays into green krytonite with a half life of 5 hours. Red Kryptonite is no longer dangerous to Superman when 90 percent of the red kryptonite has decayed.
\n" ); document.write( "a. What percent of the kryptonite is left after one day?
\n" ); document.write( "b. how long before the red kryptonite has decayed 90 percent and is safe for superman?\r
\n" ); document.write( "\n" ); document.write( "Thank you for your help!
\n" ); document.write( "

Algebra.Com's Answer #132585 by Fombitz(32388)\"\" \"About 
You can put this solution on YOUR website!
a.)If you start with 100% and the half life is 5 hours
\n" ); document.write( "\"N%28t%29=N%5B0%5D%2Ae%5E%28-alpha%2At%29\"
\n" ); document.write( "where
\n" ); document.write( "\"alpha=ln%282%29%2Ft%5Bhl%5D=ln%282%29%2F5=0.1386\"
\n" ); document.write( "Then for t=24 hours,
\n" ); document.write( "\"N%28t%29=N%5B0%5D%2Ae%5E%28-alpha%2At%29\"
\n" ); document.write( "\"N%2824%29=N%5B0%5D%2Ae%5E%28-0.1386%2A24%29\"
\n" ); document.write( "\"N%2824%29=100%2A0.0359\"
\n" ); document.write( "\"N%2824%29=3.59\"
\n" ); document.write( "3.59% remains at 24 hours.
\n" ); document.write( "b.)Start with 100%. Find t when 90% will be gone, 10% will remain.
\n" ); document.write( "\"N%28t%29=N%5B0%5D%2Ae%5E%28-alpha%2At%29\"
\n" ); document.write( "\"10=100%2Ae%5E%28-0.1386%2At%29\"
\n" ); document.write( "\"e%5E%28-0.1386%2At%29=0.1\"
\n" ); document.write( "\"-0.1386%2At=ln%280.1%29\"
\n" ); document.write( "\"-0.1386%2At=-2.303\"
\n" ); document.write( "\"t=-2.303%2F0.1386\"
\n" ); document.write( "\"t=16.6\"
\n" ); document.write( "After 16.6 hours, there will be 10% left.
\n" ); document.write( "
\n" ); document.write( "
\n" );