Step-by-step explanation:
To find the salary in the eighth month of the third year, we need to calculate the total number of months elapsed and then determine the corresponding increase in salary.
First, let's calculate the total number of months in three years:
3 years = 3 years * 12 months/year = 36 months
Next, we'll determine how many six-month periods have passed in these 36 months:
Number of six-month periods = 36 months / 6 months/period = 6 periods
Now, let's calculate the total increase in salary over these six periods:
Total increase = 6 periods * $36.00/period = $216.00
Now, let's add the total increase to the initial salary to find the salary in the eighth month of the third year:
Salary in the eighth month of the third year = Initial salary + Total increase
= $540.00 + $216.00
= $756.00
So, the salary in the eighth month of the third year is $756.00.