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)![]() ![]() 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( " |