An electric device delivers a current of [tex]$15.0 A$[/tex] for 30 seconds. How many electrons flow through it?
Answer (2)
When a current of 15.0 A flows for 30 seconds, a total charge of 450 C is delivered. This corresponds to approximately 2.81 x 10^21 electrons flowing through the electric device.
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Calculate total compensation for Company A: T o t a l A = $38 , 200 + $3 , 500 + $4 , 100 = $45 , 800 .
Calculate total compensation for Company B: T o t a l B = $39 , 000 + 0.20 × $39 , 000 + $700 = $47 , 500 .
Calculate total compensation for Company C: T o t a l C = $39 , 900 + $3 , 200 + $3 , 900 + $1 , 000 = $48 , 000 .
Calculate total compensation for Company D: T o t a l D = $39 , 400 + 0.18 × $39 , 400 = $46 , 492 . Therefore, Company C offers the greatest total employment compensation: C .
Explanation
Problem Analysis We need to determine which of the four companies (A, B, C, and D) offers the greatest total employment compensation. To do this, we will calculate the total compensation for each company by summing up all the benefits and gross pay.
Calculating Total Compensation for Company A For Company A, the total compensation is the sum of the gross pay, insurance, and paid time off: T o t a l A = G ross _ p a y A + I n s u r an c e A + P ai d _ t im e _ o f f A = $38 , 200 + $3 , 500 + $4 , 100 = $45 , 800
Calculating Total Compensation for Company B For Company B, the total compensation is the sum of the gross pay, insurance (20% of gross pay), and job expenses: T o t a l B = G ross _ p a y B + I n s u r an c e B + J o b _ e x p e n se s B = $39 , 000 + 0.20 × $39 , 000 + $700 = $39 , 000 + $7 , 800 + $700 = $47 , 500
Calculating Total Compensation for Company C For Company C, the total compensation is the sum of the gross pay, insurance, paid time off, and job expenses: T o t a l C = G ross _ p a y C + I n s u r an c e C + P ai d _ t im e _ o f f C + J o b _ e x p e n se s C = $39 , 900 + $3 , 200 + $3 , 900 + $1 , 000 = $48 , 000
Calculating Total Compensation for Company D For Company D, the total compensation is the sum of the gross pay and insurance (18% of gross pay): T o t a l D = G ross _ p a y D + I n s u r an c e D = $39 , 400 + 0.18 × $39 , 400 = $39 , 400 + $7 , 092 = $46 , 492
Comparing Total Compensations and Determining the Answer Now, we compare the total compensation for each company:
Company A: $45,800
Company B: $47,500
Company C: $48,000
Company D: $46,492
Company C offers the greatest total employment compensation.
Examples
Understanding total compensation is crucial when evaluating job offers. It's not just about the salary; you need to consider the value of benefits like insurance, paid time off, and other perks. For instance, if you're choosing between two jobs, one with a higher salary but fewer benefits and another with a slightly lower salary but better benefits, calculating the total compensation helps you make an informed decision about which job truly offers more value.
