Question $7(2$ points$)$: ABC Electronics anticipates that the cost of a critical component will rise by $$8$ per year starting $3$ years from now. If the cost for the first three years is $$70$ each, what is the present worth in year $0$ of the cost over a $10-$year period at an annual interest rate of $14\%?$

$($A$)$ $$350\mathrm{.}00$

$($B$)$ $$412\mathrm{.}23$