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polet [3.4K]
3 years ago
14

The local hospital offers an incentive for nurses to work longer shifts. After a regular 8-hour shift, they can make double time

on the remainder of their shift. That is, they make twice their salary for each hour they work over 8 hours. Nurse Jane works 12 hour shifts Monday through Friday. Her weekly gross income is $2136.00, what is her base salary?
Mathematics
1 answer:
Evgesh-ka [11]3 years ago
3 0

Answer:

$26.70/hour

Step-by-step explanation:

Let's look at 1 day.

She works a 12 hour shift. For the first 8 hours, she receives her regular hourly salary. That means 8 hours of pay at her regular hourly salary.

Then she works another 4 hours at her overtime pay. Her overtime pay is twice her regular salary, so the extra 4 hours at overtime pay are paid as if they were 8 hours of regular work. In effect, she is earning 16 hours of regular pay per day.

Monday through Friday means 5 days of work per week.

5 days/week * 16 hours/day = 80 hours/week

She is earning as if she were working 80 hours of regular pay per week.

base salary = (gross weekly income)/(effective number of hours in 1 week)

base salary = $2136/80

base salary = $26.70/hour

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Effectus [21]

A1. 12 i.e option D

A2. 3n-7 i.e option A

A3. -6n+20 i.e option D

A4. -70 i.e option C

Step-by-step explanation:

aₙ = a₁ + (n - 1) × d  

aₙ = the nᵗʰ term in the sequence

a₁ = the first term in the sequence

d = the common difference between terms

Using the above formula to solve the first part, we have :

  • -8 = a₁ + (2-1) × 5
  • -13 = a₁
  • a₆ = -13 + (6-1) × 5
  • a₆ = 12

For the second part, we have :

  • aₙ = -4 + (n-1)×3
  • aₙ = -4 + 3n -3
  • aₙ = 3n-7

For the third part, we have :

  • a₁=14 ; d=-6
  • aₙ = 14 + (n-1)×(-6)
  • aₙ = -6n + 20

For the fourth part, we have :

  • aₙ = 14 + (15-1)×(-6)
  • aₙ = -70
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Answer:
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Explanation:
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Perimeter: 5 times 5 times 9 times 9 equals 2,025. Perimeter is base times base times height times height.

Glad I could help! :)
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C, because when you add 45 on both sides, and then after that when you have to subtract 15 in both sides, you get 0 = 120.

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