document.write( "Question 1176675: A bank offers a CD that pays a simple interest rate of 2.5%. How much must you put in this CD now in order to have $4,000 for a home-entertainment center in 4 years.\r
\n" );
document.write( "\n" );
document.write( "The present value that must be invested to get $4,000 after 4 years at an interest rate of 2.5% is $__.(Round up to the nearest cent.) \n" );
document.write( "
Algebra.Com's Answer #803974 by Theo(13342)![]() ![]() You can put this solution on YOUR website! simple interest is 2.5% per year.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the simple interest formula is:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "f = p + p * r * t.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "f is the future value \n" ); document.write( "i is the interest \n" ); document.write( "p is th principal \n" ); document.write( "r 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 that formula:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "f = 4000 \n" ); document.write( "p = what you want find. \n" ); document.write( "r is equal to 2.5% per year = .025 per year. \n" ); document.write( "t is equal to 4 years.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the formula becomes:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "4000 = p + p * .025 * 4\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "factor out the p to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "4000 = p * (1 + .025 * 4)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "simplify to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "4000 = p * 1.10\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "solve for p to get :\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "p = 4000 / 1.10 = 3636.363636.....\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "in fraction form, p = 3636 + 4/11.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |