You have the following wage progression scale

HOUSEKEEPER

START $3$ MOS $6$ MOS $1$ YEAR $2$ YEARS $3$ YEARS

$7-1-19$ to $6-30-209\mathrm{.}009\mathrm{.}5010\mathrm{.}0010\mathrm{.}5011\mathrm{.}0011\mathrm{.}507-1-20$ to $6-30-219\mathrm{.}5010\mathrm{.}0010\mathrm{.}5011\mathrm{.}0011\mathrm{.}5012\mathrm{.}007-1-21$ to $6-30-2210\mathrm{.}0010\mathrm{.}5011\mathrm{.}0011\mathrm{.}5012\mathrm{.}0012\mathrm{.}50$

LABORER

START $3$ MOS $6$ MOS $1$ YEAR $2$ YEARS $3$ YEARS

$7-1-19$ to $6-30-209\mathrm{.}5010\mathrm{.}0010\mathrm{.}5011\mathrm{.}0011\mathrm{.}5012\mathrm{.}00$

$7-1-20$ to $6-30-2110\mathrm{.}0010\mathrm{.}5011\mathrm{.}0011\mathrm{.}5012\mathrm{.}0012\mathrm{.}50$

$7-1-21$ to $6-30-2210\mathrm{.}5011\mathrm{.}0011\mathrm{.}50`12\mathrm{.}0012\mathrm{.}5013\mathrm{.}00$

MAINTENANCE HELPER

START $3$ MOS $6$ MOS $1$ YEAR $2$ YEARS $3$ YEARS

$7-1-19$ to $6-30-2010\mathrm{.}0010\mathrm{.}5011\mathrm{.}0011\mathrm{.}5012\mathrm{.}0012\mathrm{.}507-1-20$ to $6-30-2110\mathrm{.}5011\mathrm{.}0011\mathrm{.}5012\mathrm{.}0012\mathrm{.}5013\mathrm{.}00$

$7-1-21$ to $6-30-2211\mathrm{.}0011\mathrm{.}5012\mathrm{.}0012\mathrm{.}5013\mathrm{.}0013\mathrm{.}50$

Employees are paid according to length of service with the company and classification on a calendar year basis without deduction for time off or proration. Joe is hired as a Housekeeper on $10-1-19$ and is promoted to Laborer on $6-1-20$ and to Maintenance Helper on $1-1-22.$ State the rate at hire and the wage changes and the dates thereof. $(6$ points$)($Note: There may or may not be six rate changes.$)$