A smart watch for marathon training was purchased for $$\{$A$\}$ on $\{$B$\}15$th$,2019$ with an agreement to pay $$\{$C$\}$ on $\{$D$\}15$th$,2020$ and a final payment of $$\{$E$\}.$ In how many months $($from the $\{$D$\}$ payment$)$ should the final payment be made if interest is $\{$F$\}\%$ compounded annually? Let the focal date be $\{$B$\}15$th$,2020.$ Your final value $($in months$)$ may be rounded to two decimal places. Hint: ONLY count months in this problem $($you do not need to consider the number of days in each month$).$

$\{$A$\}\{$B$\}\{$C$\}\{$D$\}\{$E$\}\{$F$\}$

$$1,130$ October $$579$ April $$6345\mathrm{.}50\%$