$$Lin Yan borrowed$$$$14,655\mathrm{.}00$from her parents to finance a vacation. If interest was charged on the loan at$9\mathrm{.}71\%$p$.$a$.,$how much interest would she have to pay in$240$days$?$Part $1$The interest charged would be$$$enter your response here.$($Round the final answer to the nearest cent as needed. Round all intermediate values to six decimal places as$$ needed.$)$