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some companies use the overtime premium method to determine gross earni…

Question

some companies use the overtime premium method to determine gross earnings. use this method to complete the following payroll ledger. overtime is paid at the time - and - a - half rate for all hours over 40. the regular gross earnings is the regular rate times the total hours. the overtime gross earnings is the overtime premium rate times the overtime hours.

namesmtwthfstotal hrs.reg. rateo.t hrs

gross earnings

nameregularovertime premiumtotal

how many hours total did mr. vern work?
51 hours

how many overtime hours did mr. vern work?
11 hours

what is the hourly overtime premium paid to mr. vern?
$ 3.71

what are mr. verns regular wages?
$ 378.42

what are mr. verns overtime premium wages?
$

Explanation:

Step1: Find Overtime Hours

We know total hours are 51 and regular hours (non - overtime) are 40. So overtime hours $OT = 51 - 40=11$ hours.

Step2: Find Overtime Premium Rate

The regular rate is $r = \$7.42$. The overtime premium rate is half of the regular rate (since overtime is time - and - a - half, the premium is half the regular rate). So premium rate $p=\frac{7.42}{2}=\$3.71$ per hour.

Step3: Calculate Overtime Premium Wages

Overtime premium wages is the product of overtime premium rate and overtime hours. So $W = p\times OT=3.71\times11$.
$3.71\times11=(3 + 0.7+0.01)\times11 = 3\times11+0.7\times11 + 0.01\times11=33 + 7.7+0.11 = 40.81$

Answer:

$\$40.81$