Anand is developing a neighborhood and installing pools with all the homes. The pool installer takes six days to put in the first pool, and this task has a $90$ percent experience curve. How long would it take to install the first five pools?

Group of answer choices

$19\mathrm{.}45$ days

$14\mathrm{.}69$ days

$22\mathrm{.}88$ days

$26\mathrm{.}04$ days