Amanda's Credit Card Statement Showed These Transactions During December The Interest Rate Is

Amanda's credit card statement showed these transactions during December.
$\begin{array} { l l r } \text { Dec 1 } & \text { Previous balance } & \$ 128.11 \\ \text { Dec 12 } & \text { Purchases } & \$ 254.78 \\ \text { Dec 18 } & \text { Purchases } & \$ 76.13 \\ \text { Dec 27 } & \text { Payment } & \$ 75.00 \end{array}$
The interest rate is $12 \%$ per month on the average daily balance. Find the average daily balance, the finance charge for the month, and the new balance on January 1. [Hint: Remember that December has 31 days.]

A) Average daily balance = $329.12; finance charge = $39.49; new balance = $423.51
B) Average daily balance = $311.98; finance charge = $37.44; new balance = $421.46
C) Average daily balance = $314.77; finance charge = $37.77; new balance = $421.79
D) Average daily balance = $302.36; finance charge = $36.28; new balance = $420.30