document.write( "Question 472077: I invested $200 a month for 18 years at 5.5% interest compounded semiannually. What will be the total amount saved at the end of the 18 years? \n" ); document.write( "
Algebra.Com's Answer #323686 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
\r
\n" ); document.write( "\n" ); document.write( "\"A=P%281%2Br%2Fn%29%5E%28n%2At%29\" Start with the compound interest formula\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"A=200%281%2B0.055%2F2%29%5E%282%2A18%29\" Plug in \"P=200\" (the amount invested), \"r=0.055\" (the decimal equivalent of 5.5%), \"n=2\" (since interest is compounded semiannually) and \"t=18\" (18 years).\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"A=200%281%2B0.0275%29%5E%282%2A18%29\" Evaluate \"0.055%2F2\"} to get \"0.0275\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"A=200%281.0275%29%5E%282%2A18%29\" Add \"1\" to \"0.0275\" to get \"1.0275\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"A=200%281.0275%29%5E%2836%29\" Multiply \"2\" and \"18\" to get \"36\".\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"A=200%282.65549751736566%29\" Evaluate \"%281.0275%29%5E%2836%29\" to get \"2.65549751736566\".\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"A=531.099503473132\" Multiply \"200\" and \"2.65549751736566\" to get \"531.099503473132\".\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"A=531.10\" Round to the nearest hundredth (ie to the nearest penny).\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "So there will be $531.10 in the account.
\n" ); document.write( "
\n" );