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stellarik [79]
3 years ago
10

Georgia kassem installs fencing. she is paid $7.50 per hour for an 8-hour day and time and a half for overtime for any work over

8 hours per day. what is her pay for a week when she worked, 7, 12, 9, 10, and 10 hours
Mathematics
2 answers:
finlep [7]3 years ago
7 0

Answer: $393.75

Step-by-step explanation:

Given : Georgia is paid $7.50 per hour for an 8-hour day .

For overtime (More than 8 hours) she is paid = 1.5 x $7.50 = $

Here Pay in week is given by :-

For 7 hours = 7 x $7.50 = $ 52.5

For 12 hours = 8 x 7.50 = $60 + (4 x 11.25) = $105

For 9 hours = 8 x 7.50 = $60 + ( 1 x 11.25) = $71.25

For 10 hours = 8 x 7.50 = $60 + ( 2 x 11.25) = $82.50

For 10 hours = 8 x 7.50 = $60 + ( 2 x 11.25) = $82.50

Combined amount she has earned this week =

$ 52.50 + $ 105 + $ 71.25 + $ 82.50 + $ 82.50 = $393.75

Hence, her pay for a week = $393.75

Dominik [7]3 years ago
4 0

Georgia worked overtime on 4 of the 5 days. Her total overtime hours were

... (12-8) +(9 -8) +(10 -8) +(10 -8) = 4 +1 +2 +2 = 9

Then her pay for the week is

... (hours) × (pay per hour)

... = ((7 + 4×8) +1.5×9) × $7.50

... = 52.5 × $7.50

... = $393.75 . . . . Georgia's gross pay for the week

_____

Pay for "time and a half" can be computed by multiplying pay by 1.5 for overtime hours, or multiplying overtime hours by 1.5 and using straight pay. Either way, it is (overtime hours)×(1.5)×(straight pay).

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Scientific notation is used so that the order of the number is known in first glance. The value of the given number in scientific notation is given by: Option B: 6.9 \times 10^{-6}

<h3>How does scientific notations work?</h3>

The number is written in the form a \times 10^b where we have 1 \leq a < 10

The number b shows the order, which is the most important figure for which scientific notation is used. It tells us how much order large or small a value is in powers of 10. We can for a time, ignore the value of 'a' for two comparable quantities and only compare their orders(this type of comparison is useful when difference is too big, like size of human to size of a star etc sort of comparisons).

Scientific notations have some of the profits as:

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For the given case, the number in consideration is 0.0000069

Rewriting it in fraction form, we get:

0.0000069  = \dfrac{69}{10000000} = \dfrac{69}{10^7} = 69 \times 10^{-7} = 6.9 \times 10 \times 10^{-7}\\\\0.0000069  =  6.9 \time 10 ^{-7 +1} \\0.0000069  = 6.9\times 10^{-6}

(we used two facts: first that : \dfrac{a}{b} = a \times \dfrac{1}{b}

and second that: a^{-b}= \dfrac{1}{a^b}

Thus, the value of the given number in scientific notation is given by: Option B: 6.9 \times 10^{-6}

Learn more about scientific notations here:

brainly.com/question/3112062

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