On October $23,$ you plan to purchase a $$1200$ computer by usining one of yout two credit cards. The silver card charges $18\%$ interest and calculates interest based on the balance on the first day of the previous month. The Gold card charges $18\%$ interest and calculates interest based on the average daily balance. Both cards have $$0$ balance as of October $1.$ The closing date is the end of each of the month for each card.

Your plab is to make a $$400$ payment in November, make a $$400$ payment in December, and pay off the remaining balance in January. All of your payments will be recieved and posted on the $10$th of each month. No other charges will be made on the account. $($Round answers to the nearest cent.$)$

A$)$ based on this information, calculate the interest in$($$$)$ charged hy each card for this purchase.

Siver card $?$$

Gold card $?$$

Which card is the better deal and by how much in $($$$)?$

The blank $($ as in what card$)$ is better deal by $