Math

QuestionTodd earns \$35.00/hour for 40 hours a week plus a \$3,000 bonus. Calculate his first annual salary.

Studdy Solution

STEP 1

Assumptions1. Todd's hourly wage is 35.00.Heworks40hoursaweek3.Hereceivesaonetimesigningbonusof35.00. 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.
Weeklyearnings=HourlywagetimesHoursperweekWeekly\, 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.
Weeklyearnings=$35.00times40Weekly\, earnings = \$35.00 \\times40

STEP 4

Calculate the weekly earnings.
Weeklyearnings=$35.00times40=$1,400Weekly\, 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.
Annualearnings=WeeklyearningstimesWeeksinayearAnnual\, 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.
Annualearnings=$1,400times52Annual\, earnings = \$1,400 \\times52

STEP 7

Calculate the annual earnings.
Annualearnings=$1,400times52=$72,800Annual\, 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.
Totalannualsalary=Annualearnings+SigningbonusTotal\, 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.
Totalannualsalary=$72,800+$3,000Total\, annual\, salary = \$72,800 + \$3,000

STEP 10

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

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