If the inflation rate for the next $20$ years is $4\%$ per year, what hourly rate of pay in $20$ years will be equivalent to $$10$ per hour today?

a

$.$ $$21\mathrm{.}91$

b

$$22\mathrm{.}60$

c

$$226\mathrm{.}00$

d

$$19\mathrm{.}19$

e

$$14\mathrm{.}56$