document.write( "Question 75593: Her parents have given Silly Sally a choice of payment method for her allowance: She can receive $25.00 dollars at the end of two weeks or she can get $.01 today and double that, $.02 tomorrow and double that for each day doubling the amount from the day before every day for two weeks. Decide which type of payment Sally should pick by calculating the amount she receives for each. \n" ); document.write( "
Algebra.Com's Answer #54254 by Edwin McCravy(20055)\"\" \"About 
You can put this solution on YOUR website!
\r\n" );
document.write( "Her parents have given Silly Sally a \r\n" );
document.write( "choice of payment method for her \r\n" );
document.write( "allowance: She can receive $25.00 \r\n" );
document.write( "dollars at the end of two weeks or \r\n" );
document.write( "she can get $.01 today and double that, \r\n" );
document.write( "$.02 tomorrow and double that for each \r\n" );
document.write( "day doubling the amount from the day \r\n" );
document.write( "before every day for two weeks. Decide \r\n" );
document.write( "which type of payment Sally should pick \r\n" );
document.write( "by calculating the amount she receives \r\n" );
document.write( "for each.\r\n" );
document.write( "\r\n" );
document.write( "The second choice for payment is the \r\n" );
document.write( "sum of a geometric series Sn,\r\n" );
document.write( "\r\n" );
document.write( "      a1(rn - 1)      \r\n" );
document.write( "Sn = 覧覧覧覧覧覧\r\n" );
document.write( "         r - 1\r\n" );
document.write( "\r\n" );
document.write( "where n = 14 days, a1 = 1st term = .01,\r\n" );
document.write( "      r = common ratio (multiplier) = 2\r\n" );
document.write( "\r\n" );
document.write( "       .01(214 - 1)      \r\n" );
document.write( "S14 = 覧覧覧覧覧覧覧\r\n" );
document.write( "           2 - 1 \r\n" );
document.write( "\r\n" );
document.write( "       .01(16384 - 1)      \r\n" );
document.write( "S14 = 覧覧覧覧覧覧覧覧\r\n" );
document.write( "            1\r\n" );
document.write( "\r\n" );
document.write( "S14 = .01(16383) = $163.83\r\n" );
document.write( "\r\n" );
document.write( "Certainly this better than $25.00\r\n" );
document.write( "\r\n" );
document.write( "Edwin
\n" ); document.write( "
\n" );