document.write( "Question 932105: 1. Lauren plans to deposit $4,000 into a bank account at the beginning of next month and $100/month into the same account at the end of that month and at the end of each subsequent month for the next 3 yr. If her bank pays interest at the rate of 5%/year compounded monthly, how much will Lauren have in her account at the end of the 3 yr? (Assume she makes no withdrawals during the 3-yr period.) Please round the answer to the nearest cent.
\n" ); document.write( "show the solving methods\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "2. Pierce Publishing sells encyclopedias under two payment plans: cash or installment. Under the installment plan, the customer pays $21/month over 3 yr with interest charged on the balance at a rate of 15%/year compounded monthly. Find the cash price for a set of encyclopedias if it is equivalent to the price paid by a customer using the installment plan. Please round the answer to the nearest cent.
\n" ); document.write( "

Algebra.Com's Answer #569610 by ptfile(81)\"\" \"About 
You can put this solution on YOUR website!
\r\n" );
document.write( "Let  r = interest rate\r\n" );
document.write( "     n = number of intervals\r\n" );
document.write( "     t = duration of the payment\r\n" );
document.write( "     A = monthly installment \r\n" );
document.write( "    PV = Present Value\r\n" );
document.write( "    FV = Final Value\r\n" );
document.write( "\r\n" );
document.write( "1.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\"FV+=+4000%281.156652858%29%2B100%28.161472245%2F.004166667%29\"\r\n" );
document.write( "\"FV+=+4626.611432%2B100%2838.7533357%29\"\r\n" );
document.write( "\"FV+=+4626.611432%2B3875.33357\"\r\n" );
document.write( "\"FV+=+8501.95\"\r\n" );
document.write( "\r\n" );
document.write( "Her balance in 3 years is $8501.95.\r\n" );
document.write( "\r\n" );
document.write( "2.\r\n" );
document.write( "\"A+=P%28%28%28r%2Fn%29%281%2Br%2Fn%29%5E%28nt%29%29%2F%28%281%2Br%2Fn%29%5E%28nt%29-1%29%29\"\r\n" );
document.write( "\r\n" );
document.write( "\"21=P%28%28%28.0125%29%281.0125%29%5E36%29%2F%28%281.0125%29%5E36-1%29%29\"\r\n" );
document.write( "\"21=P%28%28.0125%29%281.563943819%29%2F.563943819%29\"\r\n" );
document.write( "\"21=P%28.019549298%2F.563943819%29\"\r\n" );
document.write( "\"21=P%28.034665329%29\"\r\n" );
document.write( "\"605.79+=+P\"\r\n" );
document.write( "\r\n" );
document.write( "The price of a set of encyclopedias is $605.79.\r\n" );
document.write( "
\n" ); document.write( "
\n" );