You are given:

$($i$)$ Fund X pays interest at the rate of $6\%$ convertible monthly;

$($ii$)$ Fund Y pays interest at a force of interest $\backslash$delta t $=1/($t $+12)$;

$($iii$)$ Johnny deposits P into each fund; and

$($iv$)$ at the end of $12$ years, the accumulated amount in Fund X was $2000$ and the

accumulated amount in Fund Y was Z$.$

Find Z$.$

A$.1950$ B$.1970$ C$.2000$ D$.2030$ E$.2050$