document.write( "Question 685605: randy invested his inheritance in an account that paid 6.9% interest, coupounded continuously. after 5 years, he found that he now had $52,565.56. what was the orginal amount of his inheritance?
\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #424504 by lwsshak3(11628) $\"\"$ $\"About$

You can put this solution on YOUR website!
randy invested his inheritance in an account that paid 6.9% interest, coupounded continuously. after 5 years, he found that he now had $52,565.56. what was the orginal amount of his inheritance?
\n" ); document.write( "**
\n" ); document.write( "Formula for continuous compounding:A= Pe^rt, P=initial investment, r=rate of interest, A=amt after t years
\n" ); document.write( "52565.56=Pe^(.069*5)=Pe^.345
\n" ); document.write( "P=52565.56/e^.345=37228
\n" ); document.write( "orginal amount of his inheritance=$37,228.00.. \n" ); document.write( "

\n" );