$($a$)$ Widgets currently cost $$\frac{1}{k}g.$ You put $$1400$ into an investment account with $14\%$ annual interest. Through use of an exact calculation $($i$.$e$.,$ don't approximate

real interest$),$ how many $kg$ of widgets can you purchase in $6$ years if inflation is $4\%$ annually? $(1\mathrm{.}5$ point$)$

$F=$

$($b$)$ How much will the widgets in the problem above cost at the time of purchase $($i$.$e$.,$ the total cost of all the widgets you're going to purchase$)?(1\mathrm{.}5$ point$)$

$F=$