document.write( "Question 210740: Solve the problem.\r
\n" ); document.write( "\n" ); document.write( "Suppose that $7000 is invested in an account where interest is compounded continuously at 3.2% per year. What is the doubling time?
\n" ); document.write( "
\n" ); document.write( "A)4.6 yr
\n" ); document.write( "B)21.7 yr
\n" ); document.write( "C)2.2 yr
\n" ); document.write( "D)0.2 yr
\n" ); document.write( "

Algebra.Com's Answer #159231 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
Solve the problem.
\n" ); document.write( "Suppose that $7000 is invested in an account where interest is compounded continuously at 3.2% per year. What is the doubling time?
\n" ); document.write( "------------------------
\n" ); document.write( "A(t) = P*e^(rt)
\n" ); document.write( "For doubling time:
\n" ); document.write( "2P = P*e^(rt)
\n" ); document.write( "e^rt = 2
\n" ); document.write( "-----
\n" ); document.write( "Your problem:
\n" ); document.write( "e^(0.032t) = 2
\n" ); document.write( "Take the natural log of both sides to get:
\n" ); document.write( "0.032t = ln(2)
\n" ); document.write( "t = [ln(2)]/0.032
\n" ); document.write( "t = 21.66 years
\n" ); document.write( "===========================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \r
\n" ); document.write( "\n" ); document.write( "A)4.6 yr
\n" ); document.write( "B)21.7 yr
\n" ); document.write( "C)2.2 yr
\n" ); document.write( "D)0.2 yr \r
\n" ); document.write( "\n" ); document.write( "
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