Math Snap

STEP 1

Assumptions1. Todd's hourly wage is $35.00. He works40 hours a week3. He receives a one-time signing bonus of$3,0004. There are52 weeks in a year

STEP 2

First, we need to find Todd's weekly earnings. We can do this by multiplying his hourly wage by the number of hours he works in a week.
$$Weekly\, earnings = Hourly\, wage \\times Hours\, per\, week$$

STEP 3

Now, plug in the given values for the hourly wage and hours per week to calculate the weekly earnings.
Weekly\, earnings = \($\)35.00 \\times40

STEP 4

Calculate the weekly earnings.
Weekly\, earnings = \($\)35.00 \\times40 = \($\)1,400

STEP 5

Now that we have the weekly earnings, we can find the annual earnings by multiplying the weekly earnings by the number of weeks in a year.
$$Annual\, earnings = Weekly\, earnings \\times Weeks\, in\, a\, year$$

STEP 6

Plug in the values for the weekly earnings and the number of weeks in a year to calculate the annual earnings.
Annual\, earnings = \($\)1,400 \\times52

STEP 7

Calculate the annual earnings.
Annual\, earnings = \($\)1,400 \\times52 = \($\)72,800

STEP 8

Now that we have the annual earnings, we can add the signing bonus to find the total annual salary for the first year.
$$Total\, annual\, salary = Annual\, earnings + Signing\, bonus$$

STEP 9

Plug in the values for the annual earnings and the signing bonus to calculate the total annual salary.
Total\, annual\, salary = \($\)72,800 + \($\)3,000

Calculate the total annual salary.
Total\, annual\, salary = \($\)72,800 + \($\)3,000 = \($\)75,800Todd's annual salary for his first year is $75,800.