document.write( "Question 1157950: The Lualailua Hills Quadrangle of the East Maui (Haleakala) volcano on the island of
\n" ); document.write( " Maui in Hawaii is no longer active. To find out the date of the last eruption, scientists
\n" ); document.write( " conducted a chemical analysis of samples from the volcano area. The samples
\n" ); document.write( " contained approximately 62% of its original carbon-14. How long ago was the last
\n" ); document.write( " eruption of the volcano? Use 5730 years for the half-life of carbon-14.
\n" ); document.write( " Work must be shown!
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #780879 by Boreal(15235)\"\" \"About 
You can put this solution on YOUR website!
P=Poe^(-kt)
\n" ); document.write( "P/Po=1/2=e^(-kt)
\n" ); document.write( "-ln2=-kt
\n" ); document.write( "k=ln2/t
\n" ); document.write( "=0.693/5730
\n" ); document.write( "=0.000121\r
\n" ); document.write( "\n" ); document.write( "P/Po=0.62=e^(-0.000121*t)
\n" ); document.write( "ln(0.62)=-0.000121*t
\n" ); document.write( "t=3950.71 years
\n" ); document.write( "
\n" );