$30)$ Naomi wants to deposit a cheque for $$2,000$ into her premium$-$rate savings account that pays interest of$3\mathrm{.}15\%.$ Interest is calculated on the daily closing balance and paid at the close of business on the last day of the month. If Danica already has $$8,000$ in her savings account on August $1$ and does not make any withdrawals, how much interest would she earn for the month of August if she deposited the cheque on August $21?$A$)$ $$24\mathrm{.}40$B$)$ $$25\mathrm{.}50$C$)$ $$26\mathrm{.}40$D$)$ $$22\mathrm{.}30$E$)$ $$23\mathrm{.}30$