Angelo deposits $$100$ at the beginning of each year in Savings Account A and $$100$ at the beginning of each year in Savings Account B$.$ At the end of $N$ years, the balance in each account is $$2,350.$

The annual effective interest rate for Savings Account A is $3\mathrm{.}5\%.$

The annual effective interest rate for Savings Account B is i $\%$ for the first $N-6$ years and $5\%$ for the last six years.

Which of the following is closest to i$?$

$($A$)1\mathrm{.}50$

$($B$)1\mathrm{.}75$

$($C$)2\mathrm{.}00$

$($D$)2\mathrm{.}25$

$($E$)2\mathrm{.}50$