The following terms apply:

The credit limit is $$3,000.$

The billing cycle starts on the $10$th of the month and ends on the $9$th of the next month.

The due date is always $25$ days following the end of the billing cycle.

The interest rate on purchases is $21\mathrm{.}9\%.$

The minimum payment is $$15$ or $1\%$ of the new balance whichever is larger.

If the consumer fails to make at least the minimum payment on or before the due date, the interest rate for purchases increases to $29\mathrm{.}4\%.$

If the entire new balance from the previous billing cycle is paid on or before the due date, no interest is charged for purchases made during the current billing cycle.

Exercise $1$

A new credit card account is opened and the table below shows the activity during the first billing cycle. Find:

The total purchases.

The interest.

The new balance due.

The minimum payment.

The available credit.

The due date.

$\backslash$table$[[$Ref$.$ No$.,$Date,Posted,,Transaction,Amount$],[434862,\frac{6}{13}\frac{?}{2011},\frac{6}{16}\frac{?}{2011},$Fitch's IGA,Wilmore, KY$,84\mathrm{.}51],[787567,\frac{6}{18}\frac{?}{2011},\frac{6}{19}\frac{?}{2011},$Target,Lexington, KY$,135\mathrm{.}65],[872307,\frac{6}{20}\frac{?}{2011},\frac{6}{21}\frac{?}{2011},$Sears,Lexington, KY$,113\mathrm{.}70],[444278,\frac{6}{24}\frac{?}{2011},\frac{6}{25}\frac{?}{2011},$Walmart,Nicholasville, KY$,192\mathrm{.}95],[992793,\frac{7}{1}\frac{?}{2011},\frac{7}{1}\frac{?}{2011},$Cluckers,Wilmore, KY$,41\mathrm{.}57],[810761,\frac{7}{4}\frac{?}{2011},\frac{7}{4}\frac{?}{2011},$A$.$U$.$ Bookstore,Wilmore, KY$,184\mathrm{.}02],[407813,\frac{7}{6}\frac{?}{2011},\frac{7}{6}\frac{?}{2011},$Kroger,Nicholasville, KY$,131\mathrm{.}94]]$