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11Alexandr11 [23.1K]
3 years ago
15

Alex worked 45.75 hours this week at $7.86 per hour. what is his gross pay? $382.19 $359.60 $314.40 $391.82

Mathematics
2 answers:
rewona [7]3 years ago
8 0
I thank you should time the hour to his wages. 395.595
Eva8 [605]3 years ago
6 0

Assuming that no overtime was factored into his wages, Alex would have gotten a gross pay of $359.60. This was done by multiplying $7.86 x 45.75 hours.

Assuming that overtime was factored into his wages, Alex would have gotten a gross pay of $382.19. This was done by figuring out how much "time and a half" is for over time. "time" = 7.86; "and a half"= 7.86/2= 3.93

Time AND a half would equal 7.86 + 3.93= 11.79.

So, Alex would get an additional $11.79 for the hours OVER 40 hours which was 5 hours and 75 minutes..

11.79 x 5.75 = 67.79

Total hours for a 40 hour work week for Alex with 7.86 would equal a gross pay of 314.40. Plus 67.79. = 382.19


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Answer:

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Step-by-step explanation:

The augmented matrix of the system is \left[\begin{array}{ccccc}3&6&6&-9\\-2&-3&-3&3\end{array}\right].

We will use rows operations for find the echelon form of the matrix.

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Now we solve for the unknown variables:

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The system has a free variable, the the system has infinite solutions and the set of solutions is \{\left[\begin{array}{c}x\\y\\z\end{array}\right]=\left[\begin{array}{c}12\\-7-r\\r\end{array}\right]: \text{r is a real number}  \}

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The recursive way to write this is to say

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which tells us "start at 6 and each time subtract off 5"

The a_n portion is the nth term while a_{n-1} is the term just before the nth term
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