document.write( "Question 888950: If interest is compounded continuously at 4.5% for 7 years, how much will a $2000 investment be worth at the end of 7 years? \n" ); document.write( "
Algebra.Com's Answer #537806 by Theo(13342)\"\" \"About 
You can put this solution on YOUR website!
the continuous compounding formula is f = p * e^(i*t)
\n" ); document.write( "p is the present value
\n" ); document.write( "f is the future value
\n" ); document.write( "i is the interest rate per time period.
\n" ); document.write( "t is the number of time periods.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "in your problem:
\n" ); document.write( "p = 2000
\n" ); document.write( "t = 7 years
\n" ); document.write( "i = .045 per year (percent / 100 = rate)
\n" ); document.write( "e = scientific constant of 2.718281828...\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "formula becomes:\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "f = 2000 * e^(.045*7) which becomes:\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "f = 22740.518622
\n" ); document.write( "
\n" );