Along with the new collective bargaining agreement, a new way of processing

increments has also become effective. $\mathrm{.}671\%$ will be added to the hourly rate, on the

first day of each month, creating a new hourly rate for that particular month. However,

the employee$$s increase in wages cannot exceed more than $4\mathrm{.}7\%$ in any one year.

a$)$ What is the employee$$s hourly salary rate in the $5$th month when their original

salary was $$22\mathrm{.}377$ per hour?

b$)$ What is the employee$$s hourly rate in the $10$th month?