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sergij07 [2.7K]
3 years ago
7

Michael earns $21 per hour and works 40 hours per week. How many overtime hours would he have to worky in a week for his time-an

d-a- half overtime pay to be greater than his regular gross pay? Explain your answer.
Mathematics
1 answer:
Alex73 [517]3 years ago
6 0

Answer:

27 hours

Step-by-step explanation:

The regular hours are paid normally, 21/hr hence working for 40 hours, Michael earns 40*21=$840

To work x hours paid overtime as 1.5 of the normal rate, the rate would be $21*1.5=$31.5/hr

X hours multiplied by rate of $31.5/hr should be at least equal to $840

31.5x>=840

X>=840/31.5>=26.6667 hours and when rounded off

X is 27 hours

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The tiles on the left contain functions written using function notation. Match each function with its input.
Degger [83]

Answer:

1. The input is f

2. The input is g

3. The input is h

Step-by-step explanation:

The value inside the bracket of the function is the input given to the function.

1. g(f) = 2f

The input is f

2. h(g) = -4+g

The input is g

3. f(h) = h - 7

The input is h

3 0
3 years ago
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The 59th and 4th team of an Ap are - 61 and 64 respectively. Show that the common differences is - 2.5 and 23rd term is 16.5​
Mnenie [13.5K]

Answer:

See answers below

Step-by-step explanation:

T59 = a+58d = -61

T4 = a+3d = 64.

Subtract

58d-3d = -61-64

-55d = -125

d =125/55

d = 25/11

Get a;

From 2

a+3d = 64

a+3(25/11) = 64

a = 64-75/11

a = 704-75/11

a = 629/11

T23 = a+22d

T23 = 629/11+22(25/11)

T23 = 1179/11

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3 years ago
A construction worker needs to put a rectangular window in the side of a building. He knows from measuring that the top and bott
Sliva [168]

Answer: 5 feet

Step-by-step explanation: A rectangle is a quadrilateral with 4 sides. The opposite sides are parallel and have the same length.

Top and bottom of the window are opposite, so they have the same measure of 3 feet.

One length of the window is 5 feet. Since the last side is opposite to the length of the window, it has the same length, i.e., its value is 5 feet.

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3 years ago
4x+1=9+4y solve for y
koban [17]

Answer:

y = x-2

Step-by-step explanation:

6 0
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Orlando invested $16,000 in an eight-year CD bearing 6.5% simple annual interest, but needed to withdraw $3,500 after five years
baherus [9]

Answer:

Therefore, the correct option is OPTION C.

Step-by-step explanation:

If Orlando had not made his early withdrawal, the amount of money he would have earned is:

F = 0.065($16,000)(8) = $8.320

Given that he withdraw $3500, he now earns:

F1 = (0.065)($16,000)(5) + ($12,500)(0.065)(3)

F1 = $5200 + $2437.5 = $7637.5

And now we have to take into acount the year of penalty, which is one year’s worth of interest on the amount withdrawn.

Penalty= $3500(0.065)(1) = $227.5

So the total money he earns now is: $7637.5 - $227.5 = $7410

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Money = $8.320 - $7410 = $910

Therefore, the correct option is OPTION C.

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3 years ago
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