document.write( "Question 1150066: Calculate what $750 would grow to at 6% per year compounded daily for 9 years. (Use the Table 12.2.) (Round your final answer to the nearest cent.)
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Algebra.Com's Answer #771431 by Theo(13342) You can put this solution on YOUR website! not sure what table you are looking at.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "however, the formula is:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "f = p * (1 + r) ^ n \n" ); document.write( "f is the future value \n" ); document.write( "p is the present value \n" ); document.write( "r is he interest rate per time period \n" ); document.write( "n is the number of time periods.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "normally, 365 days per year is assumed; the interest rate per year is used, not the percent. \n" ); document.write( "therefore, the formula becomes:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "f = 750 * (1 + .06/365) ^ (9 * 365) = 1286.948032. \n" ); document.write( "round to the nearest penny to get 1286.95.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the interest rate per time period turns out to be .06/365 equals: \n" ); document.write( ".0001643835616.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the number of time periods turns out to be 9 * 365 = 3285.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "your table might combine the two and tell you that 9 years at 6% per year compounded daily = (1 + .001643835616 ^ 3285 = 1.715930709.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "that would be the factor that you multiply the present value of 750 by.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "your table might also be rounded to 3 or 4 decimal places.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "note that 750 * (1 + .06/365) ^ (9 * 365) = 750 * 1.715930709 = 1286.948032.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "there might be some slight differences due to rounding of intermediate results.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "for example, the table might show 1.7159. \n" ); document.write( "in that case, your answer might be 750 * 1.7159 = 1286.93 rounded to the nearest penny.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |