Question $1$: R&R Savings Bank finds that its basic transaction account, which requires a $$1,000$ minimum balance, costs this bank an average of $$3\mathrm{.}25$ per month in servicing costs $($including labor and computer time$)$ and $$1\mathrm{.}25$ per month in overhead expenses. The bank also tries to build in a $$0\mathrm{.}50$ per month profit margin on these accounts.

Further analysis of customer accounts reveals that for each $$100$ above the $$1,000$ minimum in average balance maintained in its transaction accounts, R&R Savings saves about $5$ percent in operating expenses with each account. $($Note: If the bank saves about $5$ percent in servicing cost for each $$100$ held in balances above the $$1,000$ minimum, then a customer maintaining an average monthly balance of $$1,500$ should save the bank $25$ percent in servicing costs$).$ For a customer who consistently maintains an average balance of $$1,200$ per month, how much should the bank charge this customer every month in order to protect its profit margin? Show your answer to the nearest two decimals, enter. $$7\mathrm{.}83$ as $7\mathrm{.}83.$