document.write( "Question 64971: THE AMOUNT A IN AN ACCOUNT AFTER t YEARS FROM AN INITIAL PRINCILE P INVESTED AT AN ANNUAL RATE r COMPOUNDED CONTINUOUSLY IS GIVEN BY A=Pe^rt WHERE r IS EXPRESSED AS A DECIMAL. HOW MANY YEARS WILL IT TAKE AN INITIAL INVESTMENT OF $1,000 TO GROW TO $1,700 AT THE RATE OF 4.42% COMPOUNDED CONTINUOUSLY? \n" ); document.write( "
Algebra.Com's Answer #45475 by funmath(2933)\"\" \"About 
You can put this solution on YOUR website!
THE AMOUNT A IN AN ACCOUNT AFTER t YEARS FROM AN INITIAL PRINCILE P INVESTED AT AN ANNUAL RATE r COMPOUNDED CONTINUOUSLY IS GIVEN BY A=Pe^rt WHERE r IS EXPRESSED AS A DECIMAL. HOW MANY YEARS WILL IT TAKE AN INITIAL INVESTMENT OF $1,000 TO GROW TO $1,700 AT THE RATE OF 4.42% COMPOUNDED CONTINUOUSLY?
\n" ); document.write( "A=1700
\n" ); document.write( "P=1000
\n" ); document.write( "r=4.42/100=.0442
\n" ); document.write( "\"1700=1000e%5E%28.0442t%29\"
\n" ); document.write( "\"1700%2F1000=1000e%5E%28.0442t%29%2F1000\"
\n" ); document.write( "\"17%2F10=e%5E%28.0442t%29\"
\n" ); document.write( "\"ln%2817%2F10%29=ln%28e%5E.0442t%29\"
\n" ); document.write( "\"ln%2817%2F10%29=.0442tln%28e%29\"
\n" ); document.write( "\"ln%2817%2F10%29=.0442t%281%29\"
\n" ); document.write( "\"ln%2817%2F10%29=.0442t\"
\n" ); document.write( "\"ln%2817%2F10%29%2F.0442=.0442t%2F.0442\"
\n" ); document.write( "\"ln%2817%2F10%29%2F.0442=t\"
\n" ); document.write( "\"12.00516405=t\"
\n" ); document.write( "\"highlight%28t=12%29\" yrs.
\n" ); document.write( "Happy Calculating!!!
\n" ); document.write( "
\n" );