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Sedbober [7]
3 years ago
7

In a particular week a man receives 909.50 but 229.50 was for a overtime. If he works a basic week of 40 hours and overtime is p

aid for at the time and a half rate, calculate the amount of hours worked that week.
Mathematics
1 answer:
Airida [17]3 years ago
8 0
Total salary = 909.50
Out of this, overtime salary was = 229.50

Normal salary for 40 hours was = 909.50 - 229.50 = 680

Hourly rate = 680/40 = 17

Overtime is time and half = 17 + 17/2 = 17 + 8.5 = 25.5

Number of overtime hours = 229.50/25.5 = 9 hours
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suppose S is between R and T. Use the segment addition postulate to solve for each variable. RS= 7y-4 , ST= y+5 , RT= 28
blagie [28]
RS+ST=RT

RS=7y-4

ST=y+5  using RS and RT in the first equation gives you:

7y-4+y+5=RT  combine like terms on left side

8y+1=RT, and we are told that RT=28 so:

8y+1=28  subtract 1 from both sides

8y=27  divide both sides by 8

y=27/8

(RS=19 5/8, ST=8 3/8, RT=28)
6 0
3 years ago
3х + 2 - 10 — 3х <br>terms, like terms, coefficients, and constants in each expression<br>​
nataly862011 [7]

Answer:

3 is a coefficient

* 2and 10 are constants

*x is variable

Step-by-step explanation:

3х + 2 - 10 — 3х

*3 is a coefficient

* 2and 10 are constants

*x is variable

8 0
3 years ago
6. Using Table 11-2 from your text, calculate the present value (principal) and the compound interest given: Compound Amount = $
storchak [24]

Answer:

The Principal is $877.19    And  Compound Interest is $372.81  

Step-by-step explanation:

Given as :

Amount after investment = $1250

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The nominal rate = 6% compounded semiannually

Let the principal = P

From compounded method

Amount = Principal × (1 + \frac{Rate}{2\times 100})^{2\times Time}

Or, $1250 = P × (1 + \frac{6}{2\times 100})^{2\times 6}

Or, $1250 = P × (1.03)^{12}

Or, $1250 = P × 1.425

∴   P = \frac{1250}{1.425}

I.e P = $877.19  

So , Principal = $877.19

Now, Compound Interest = Amount - Principal

                                          = $1250 - $877.19

Or,                                CI  = $372.81

Hence The Principal is $877.19    And  Compound Interest is $372.81  Answer

8 0
3 years ago
Which is a solution to (x − 2)(x + 10) = 13?
Romashka-Z-Leto [24]
You'll need to expand <span>(x − 2)(x + 10) first,

</span><span>(x − 2)(x + 10) = 13
</span>x^2+8 x-20=13
x^2+8 x+16=49
(x+4)^2=49
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x=3 , x=-11
3 0
3 years ago
F(x) = x^2 + 4x-12
Ahat [919]

Answer:

a) x-intercepts at -6 and 2

b) y-intercept at -12

c) minimum at (-2, -16)

Step-by-step explanation:

8 0
3 years ago
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