In 1982 , the California Minimum wage was $3.35.Suppose that a bartender in 1982 makes minimum wage plus $80 per night in tips,and that they work full time(8 hrs per day, 5 days per week, 50 weeks per year) Considering a standard inflation rate of 4.5% what was his annual salary in1982 , and what would an equivalent annual salary be in 2015 after adjusting for inflation?

1982: (3.35*40+80)(50) = 10700

2015: 10700*1.045^(2015-1982) = 45732.12

To calculate the annual salary of the bartender in 1982, we need to consider both their hourly wage and the additional income from tips.

1. Calculating the annual wage in 1982:
First, we need to determine the annual wage based on the minimum wage of $3.35 per hour.
The bartender works full time, which is 8 hours per day for 5 days a week. So, the weekly wage can be calculated as:
Weekly Wage = Minimum Wage * Hours per day * Days per week
Weekly Wage = $3.35 * 8 * 5 = $134

Since the bartender works for 50 weeks in a year (assuming 2 weeks of vacation), we can calculate the annual wage:
Annual Wage = Weekly Wage * Weeks per year
Annual Wage = $134 * 50 = $6,700

Additionally, the bartender receives $80 in tips per night. To obtain the annual tip income, we multiply this amount by the number of workdays in a year:
Annual Tips = Tips per night * Number of workdays per year
Annual Tips = $80 * (5 * 50) = $20,000

Therefore, the total annual salary in 1982 would be the sum of the annual wage and the annual tip income:
Total Annual Salary in 1982 = Annual Wage + Annual Tips
Total Annual Salary in 1982 = $6,700 + $20,000 = $26,700

2. Adjusting for inflation to find an equivalent annual salary in 2015:
To find the equivalent annual salary in 2015, we need to adjust the 1982 salary for inflation using the given inflation rate of 4.5% per year.

To adjust for inflation, we can use the formula:
Equivalent Salary in 2015 = Salary in 1982 * (1 + Inflation Rate)^Number of years

The number of years between 1982 and 2015 is 33 (2015 - 1982).

Using the formula, we can calculate the equivalent annual salary in 2015:
Equivalent Salary in 2015 = $26,700 * (1 + 0.045)^33
Equivalent Salary in 2015 ≈ $26,700 * (1.045)^33
Equivalent Salary in 2015 ≈ $26,700 * 2.78342655

Thus, the equivalent annual salary in 2015, adjusted for inflation, would be approximately:
Equivalent Salary in 2015 ≈ $74,062.72 (rounded to the nearest dollar)