Two friends, Prunella and Sue Ellen, each open their own savings accounts on January $1$st$,2025.$ Prunella

deposits $$15$; her account grows at $1\mathrm{.}2\%$ APR, compounded bimonthly $($every two months$).$ Sue Ellen deposits

$$10$; her account grows at $0\mathrm{.}8\%$ APR, compounded weekly.

Will Sue Ellen$$s account balance ever exceed Prunella$$s$?$ If so$,$ determine the month and year in which Sue

Ellen$$s account balance first exceeds Prunella$$s$.$ If not, explain why