Melisandre opens a bank account paying i$(4)=9\mathrm{.}625\%.1$ year later, she has $$805\mathrm{.}69$ in her account. How much money did she deposit in the account at the start? $($No dates or daycount convention are given, so use theoretical time; i$.$e$.1$ year $=365$ days $=52$ weeks $=12$ months etc. and count time in periods. e$.$g$.3$ weeks $=3/52$ years; $3$ months $=0\mathrm{.}25$ years, etc.$)$