Gross Earnings: Wages & Salaries-Math with Business Applications, Payroll Unit - YouTube

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Several methods are used to find an employee's pay.
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Salaries and wages are discussed in this section.
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In some businesses, the first step in preparing
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the payroll is to look at a timecard.
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This timecard is maintained for each employee.
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The timecard shows the dates of the pay period,
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the employee's name and other personal information,
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the days, times, and hours worked,
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and the total number of hours worked.
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The information on these cards is then
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transferred to a payroll ledger,
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a chart showing all payroll information.
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From there we can calculate the gross earnings.
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Gross earnings are found by taking the number of hours
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worked times the rate per hour.
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So here we have an example of R.
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Petty worked to total of 32.5 hours.
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We will multiply it by the rate to give us
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the gross earnings and likewise for D. Dean,
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had a total of 35 hours multiply it by the rate per hour.
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So every hour worked,
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this individual receives $8.01
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for a gross earnings of $280.35.
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The Fair Labor Standards Act covers
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the majority of full time employees in the United States.
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It establishes a work week of
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40 hours and sets a minimum hourly wage.
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The law states that an overtime wage,
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a higher than normal wage,
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must be paid for all hours worked
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over 40 hours during a work week.
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Also, many companies now
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covered by the Fair Labor Standards Act
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have voluntarily followed
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the practice of paying time-and-a-half,
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one and a half or 1.5 times the normal rate
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for any work over 40 hours per week.
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Let's look at an example.
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The normal pay rate is $9.18 per hour.
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Hours worked this week is 47 hours.
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Overtime if applicable, is paid at time-and-a-half.
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So of the 47 hours,
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40 would be the regular work week,
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that's leaving us a difference is
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seven hours in the category of overtime.
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The straight pay or regular pay would be the
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$9.18 times the 40 hours of regular hours.
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That product results in a regular pay,
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overtime then is time-and-a-half.
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So we take the normal regular pay and multiply it by 1.5.
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So every hour of overtime,
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this worker would be receiving $13.77 per hour.
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Seven hours of overtime at
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time-and-a-half results in an additional $96.39,
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add the regular pay and overtime together
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will give us the gross pay for this week of work.
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Here we have a ledger showing hours
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of work during the week.
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For R. Petty, if you add up
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the total hours worked there's 44.5 hours,
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D. Dean has 43 hours,
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using the 40 hour standard
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work week established by the Fair Labor Standards Act,
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and subtracting the 40
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from the total number of hours worked,
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R. Petty has 4.5 hours of overtime,
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and subtracting 40 from D. Dean,
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leaves three hours of overtime.
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We're given the rates.
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So for gross earnings we'll take 40
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times 9.50 for R. Petty,
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for the time-and-a-half we'll take the 9.50 times 1.5.
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That'll give us our overtime wage times
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the number of hours of overtime they worked,
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gives us an overtime pay of 64.13,
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add regular or straight pay plus
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the overtime gives us
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the gross earnings for this individual.
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Similar for D. Dean,
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40 hours at 8.85 hourly
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rate gives us $354 of straight pay,
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and then calculating the overtime pay,
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we can do this in all one calculation.
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Regular hourly rate times
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1.5 or time-and-a-half overtime pay,
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times the number of hours of overtime which was three,
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gives us just shy of $40,
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add regular and overtime gives us
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a gross pay for D. Dean.
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Some companies pay the time-and-a-half rate
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for all time worked
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over eight hours in any one day no
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matter how many hours are worked in a week.
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This is known as daily overtime.
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Let's take a look at an example.
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On Monday, Kim works 13 hours.
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Her regular pay rate is $12 per hour.
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What is her pay on Monday,
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if the company uses the overtime
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for over eight hours of work per day.
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She worked 13 hours,
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so of that, eight hours is at standard day.
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So eight hours at her regular pay gives you
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$96 and because she worked 13 hours,
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the difference between the eight hour regular day
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and 13 leaves us with five hours
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of overtime that we will multiply by our overtime rate.
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So she normally makes $12,
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we times that by 1.5,
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her time-and-a-half or overtime rate is $18 per
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hour times the five hours
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beyond the eight hours in a day,
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she has an additional $90 earned.
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Her gross pay then would be the sum of those two.
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This would be her gross earnings for one day.
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In this example, it
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asks us to determine the workers pay if
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their regular pay rate is 9.90 per hour.
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So here we have
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a ledger showing the hours worked each day.
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Monday is over eight hours
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as well as Thursday over eight hours.
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The other remaining three days are at regular pay.
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So here we have a chart broken down with
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the difference between the
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regular and the remaining time,
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which is considered overtime and paid at
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the higher time-and-a-half rate
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for Monday as well as Thursday.
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So we can add the regular hours of work
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together and calculate what the regular pay would be.
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Thirty-six hours at regular pay rate
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9.90 gives us a gross pay of $356.40.
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Then we can go back to the ledger,
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add up the number of hours of overtime,
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which is five hours,
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and calculate the overtime pay.
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We need to find what that overtime pay rate is.
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We'll take the straight wages times time-and-a-half,
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in other words 1.5.
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Every hour of overtime receives $14.85 rate,
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times the number of overtime hours,
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five gives us the overtime pay and for
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the gross earnings for this worker for this week,
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we'll add those two together.
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The second common method of finding
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gross earnings uses a salary.
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A salary is a fixed amount
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given as so much per pay period.
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It can be monthly,
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which means there would be 12 paychecks per year.
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Another common pay period would be semimonthly,
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since there's two pay periods per month,
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that would mean 24 total paychecks per year,
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biweekly is every two weeks.
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Given there's 52 weeks in a year,
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52 divided by 2 means 26 paychecks per year,
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or it could be weekly,
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52 paychecks per year.
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They're asking us to determine equivalent salaries
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done based on the frequency of the pay.
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So we're given in this chart,
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semimonthly as $1,580, that
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means twice a month
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this individual would receive this amount.
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Twice a month and 12 months,
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we would multiply this amount by
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24 to give us our annual salary.
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Once we have the annual salary,
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we could divide that by
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12 to give us the monthly or we could
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have doubled the semimonthly to
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come up with the equivalent monthly salary.
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Again, once we have annual,
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we can determine the biweekly,
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which means every two weeks,
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52 divided by 2 is 26 paychecks.
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So we'll divide our annual salary by 26 to give
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us the biweekly pay for the salaried worker,
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and to determine weekly,
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we can take our annual and divide it
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by 52 since there's 52 weeks in a year,
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or we could have taken our biweekly and
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divided it by two to come up with the weekly.