document.write( "Question 1135814: John Smith has a credit card that charges 15​% annual interest on the monthly average daily balance for the billing cycle. The current billing cycle has 30 days. For 14 days his balance was ​$2,536.42. For 7 days the balance was $1,536.42 9 days the balance was ​$1,835.63. Find the average daily balance. Find the amount of interest.(Round to the nearest cent as​ needed \n" ); document.write( "
Algebra.Com's Answer #753560 by Theo(13342)\"\" \"About 
You can put this solution on YOUR website!
balance of $2536.42 * 14 days equals a total of $35509.88.
\n" ); document.write( "balance of $1536.42 * 7 days equals a total of $10754.94.
\n" ); document.write( "balance of $1835.63 * 9 days equals a total of $16520.67.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "total balance for 30 days is $35509.88 + $10754.94 + $16520.67 = $62785.49.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "average daily balance for 30 days is $62785.49 / 30 = $2092.849667.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "interest charged would be 15% / 100 / 365 * 30 * $2092.849667 = $25.80 rounded to the nearest penny.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "the daily interest rate would be 15 / 100 / 365 = .0004109589041.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "this rate is multiplied by $2092.849667 to get the daily finance charge of .8600752056.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "the daily finance charge of .8600752056 is multiplied by 30 to get the finance charge of $25.80 rounded to two decimal places for the billing cycle.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "this assumes no daily compounding.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "if daily compounding is included, the formula is more complex and the interest charge for the billing cycle is slightly higher.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "here's a reference.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "https://www.nerdwallet.com/blog/credit-cards/how-credit-card-interest-calculated/\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "different banks use different methods so it's always good to check your bank's method before trying to do the calculations yourself.\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( "
\n" ); document.write( "
\n" );