document.write( "Question 430080: Let Q represent the mass of a quantity of
\n" );
document.write( "carbon 14, whose half-life is 5437 years. The
\n" );
document.write( "quantity present after t years is given by
\n" );
document.write( "Q = 9 (1/2)t/5437
\n" );
document.write( "Sketch the graph of the function over the
\n" );
document.write( "interval t = 0 to t = 10000.
\n" );
document.write( "a) Find the initial quantity.
\n" );
document.write( "b) Find the quantity present after 2171 years. \n" );
document.write( "
Algebra.Com's Answer #298660 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Let Q represent the mass of a quantity of \n" ); document.write( "carbon 14, whose half-life is 5437 years. The \n" ); document.write( "quantity present after t years is given by \n" ); document.write( "Q(t) = 9 (1/2)^(t/5437) \n" ); document.write( "-------------------------------- \n" ); document.write( "Sketch the graph of the function over the \n" ); document.write( "interval t = 0 to t = 10000 \n" ); document.write( "Note: This site's graphing cannot handle that \n" ); document.write( "large a domain. It does not provide a true \n" ); document.write( "picture of what is happening to the function \n" ); document.write( "values as they decrease over 10,000 years. \n" ); document.write( "-----------------------------------. \n" ); document.write( "a) Find the initial quantity. \n" ); document.write( "Q(0) = 9*(1/2)^0 = 9 units of wt. \n" ); document.write( "===================================== \n" ); document.write( "b) Find the quantity present after 2171 years. \n" ); document.write( "Q(2171) = 9(1/2)^(2171/5437) = 6.82403.. units of wt. \n" ); document.write( "==== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |