Martha Owens is paid $14.50per hour for a regular forty-hour work
week. Her overtime pay is one-and-one-
half times her regular hourly rate. This
past week Martha earned S754.00 in total
рау. .
How many hours of overtime did
Martha work this pas week?

Answers

Answer 1

Answer:

Martha worked approximately 8 hours of overtime during the past week.

Martha's regular hourly rate is $14.50, and she works a regular forty-hour work week. Her overtime pay is one-and-one-half times her regular hourly rate.

Let's break down Martha's earnings for the week:

Regular Earnings (for 40 hours): Regular Hourly Rate × Hours Worked

Regular Earnings = $14.50 × 40 = $580

Total Earnings (including overtime): $754

Overtime Earnings = Total Earnings - Regular Earnings

Overtime Earnings = $754 - $580 = $174

Since Martha's overtime pay is one-and-one-half times her regular hourly rate, we can set up an equation:

Overtime Earnings = Overtime Hourly Rate × Hours of Overtime Worked

Solving for Hours of Overtime Worked:

Hours of Overtime Worked = Overtime Earnings / Overtime Hourly Rate

Overtime Hourly Rate = 1.5 × Regular Hourly Rate

Overtime Hourly Rate = 1.5 × $14.50 = $21.75

Now, plug in the values:

Hours of Overtime Worked = $174 / $21.75 ≈ 8

Martha worked approximately 8 hours of overtime during the past week.

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Answer 2

Answer:

Answer:

Step-by-step explanation:

14.50*40=580 for reg pay

754-580=174 over time

14.50*1.5=21.75 an hour for ot

174/21.75=8 hours of overtime

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A survey showed that the probability that an employee gets placed in a job that is suitable for the employee is 0.65. A psychometric test consultant claimed that he could help place any employee in a suitable job based on the result of a psychometric test. An employee working in a particular company decides to take this test. The test has an accuracy rate of 70%. This data is represented in the tree diagram.The probability that the employee is in the wrong job and the test predicts that he is in the wrong job is .

A. 0.105

B. 0.195

C. 0.245

D. 0.455

Answers

Answer would be A)0.105.

The answer to this question is a.

A circle is defined by the equation x2 + y2 + 8x + 22y + 37 = 0. What are the coordinates for the center of the circle and the length of the radius?

Answers

The center of the circle is: (-4 ; -11) and the radius of the circle is r = 10

What is equation of circle?

The general equation for a circle is (x-a)² + (y-b)² = r², where ( a, b ) is the center and r is the radius.

Given:

x² + y² + 8x + 22y + 37 = 0.

Now, to find both coordinates and radius write the given equation in standard form:

(x-a)² + (y-b)² = r²

x² + 8x + y²+ 22y= -37

( x² + 2* x*4 + 4²)+( y² + 2*y* 11 + 11²) = -37 + 16 + 121

(x + 4)² + ( y+ 11)² = 100

(x + 4)² + ( y+ 11)² = 10²

So, center of the circle is: (-4 ; -11)

and the radius of the circle is r = 10

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We can say that:
8x = -2ax
8 = -2a
a = -4

22y = - 2by
22 = -2b
b = -11

37 = a² + b² - r²
37 = (-4)² + (-11)² - r²
r² = 16 + 121 - 37
r² = 100
r = 10

With all this information, we can say that:
The center of the circle is: (-4 ; -11)
and the radius of the circle is r = 10

P.S:
(a - x)² + (b-y)² = r²
a² - 2ax + x² + b² -2by + y² - r² = 0
x² + y² -2ax - 2by + a² + b² - r² = 0

How do you solve the function y = 2.5^x for y=20

Answers

$y=2.5^x;\ y=20\n\n2.5^x=20\n\nlog_(2.5)2.5^x=log_(2.5)20\n\nx=log_(2.5)20\n\nx=log_(2.5)(2.5\cdot8)\n\nx=log_(2.5)2.5}+log_(2.5)8\n\nx=1+log_(2.5)8$

What is the standard form for 25x²+4y²+50x-24y-39=0

Answers

25x² + 4y² + 50x - 24y - 39 = 0
25x² + 50x + 4y² - 24y - 39 = 0
25x² + 50x - 39 = 0   4y² - 24y - 39 = 0
x = -b + √b² - 4ac y= -b + √b² - 4ac
      2a 2a
x = -50 + √(-50)² - 4(25)(-39)     y = -(-24) + √-(-24)² - 4(4)(-39)
   2(25) 2(4)
x = -50 + √2500 + 3900 y = 24 + √-576 + 624
   50 8
x = -50 + √6400 y = 24 + √48
      50    8
x = -50 + 80 y = 24 + √16 × 3
   50 8
x = -50 + 80 y = 24 + √16 √3
   50   8
x= -50 + 80    y = 24 + 4 √3
   50 8
x = -50 + 80                                        y = 24 + 4 √3
   50    8
x = -50 + 80   x = -50 - 80 y = 24 + 4 √3   y = 24 - 4 √3
      50 50 8     8
x = 30     x = -130     y = 28 √3     y = 20 √3
      50      50         8      8
x = 3     x = -13 y = 28 √3        y = 20 √3
      5     5    8     8
(x, y) = (3, 26 √3) (x, y) = (-13, 20 √3 )
        5    8 5 8

$25x^2+4y^2+50x-24y-39=0\n25x^2+50x+25+4y^2-24y+36-100=0\n(5x+5)^2+(2y-6)^2=100$

Find the prime factorization of 63.

Answers

3x3x7=63 prime factorization

Suppose you want to factor the expression x2 + 2xn+n?. Given that n>0, what are the factors? Explain.Select the correct answer below and, if necessary, fill in the answer box to complete your choice.

O A. The value of n can be any positive integer resulting in the same factor

O B. The value of n can be any positive integer resulting in the distinct factors

(Use a comma to separate answers as needed.)

O C. The value of n can be any prime integer resulting in the same factor

O

D. The value of n can be any prime integer resulting in the distinct factors

(Use a comma to separate answers as needed.)

O E. The expression cannot be factored for the given values of n.