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sergij07 [2.7K]
2 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]2 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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Exhibit 5-3 The probability distribution for the number of goals the Lions soccer team makes per game is given below. Number of
ioda

Answer:

0.55 is the probability that Lions will score less than 3 goals.

Step-by-step explanation:

We are given the following in the question:

Number of goals(x):         0         1           2         3          4

             Probability:      0.05     0.15     0.35     0.30     0.25

We have to find the probability that Lions will score less than 3 goals.

P(X

0.55 is the probability that Lions will score less than 3 goals.

8 0
1 year ago
The Ages of mark and Adam add up to 28 years total mark is 20 years older than Adam how old is adam
aleksandrvk [35]

Answer:

Adam is 8.

Step-by-step explanation:

28-20=8

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6 0
1 year ago
The average density of Styrofoam is 1.00 kg/m^3. If a Styrofoam cooler is made with outside dimensions of 50.0 x 35.0 x 30.0 cm
Nadusha1986 [10]

Answer:

View graph

Step-by-step explanation:

The closest by default to 1100 cubic inches is taking two side and two front covers and that would give you 1080.12 cubic inches since two of the covers you must subtract 3 cm per side and side which would add 6 cm in total so outside would be 35 cm and indoor 29 cm . According the graph

29*50*3= 4350 * 2 lid = 8700 cm3

30*50*3= 4500*2 lid = 9000 cm3

So 8700+9000 = 17700 cm3 to inches 3 = 1080.12 cm3

5 0
1 year ago
A heated piece of metal cools according to the function c(x) = (.5)x − 7, where x is measured in hours. A device is added that a
Mama L [17]

Answer:

Option (b) is correct.

The temperature of the metal after two hours is 28 Celsius

Step-by-step explanation:

  Given : A heated piece of metal cools according to the function  c(x)=(0.5)^{x-7} ,  where x is measured in hours and then a cooling device id added that aids in cooling according to the function h(x)=-x-2

We have to determine the temperature of the metal after two hours.

Let w(x) denotes the temperature of metal .

Thus, w(x) can be given by function c(x) + h (x) = [c + h](x)

Thus, w(x)=[c+h](x)\\\\w(x)=(0.5)^{x-7}+(-x-2)\\\\ , where x is measured in hours.

Thus, after two hours that is when x = 2

the temperature of metal is given by w(2)

w(x)=(0.5)^{x-7}+(-x-2)\\\\ w(2)=(0.5)^{2-7}+(-2-2)

Solving , we get,

w(2)=(0.5)^{2-7}+(-2-2)\\\\ w(2)=(0.5)^{-5}+(-4)\\\\ w(2)=32-4=28

Thus, the temperature of the metal after two hours is 28 Celsius.

Hence, Option (b) is correct.

7 0
2 years ago
Read 2 more answers
A daylily farm sells a portion of their daylilies and allows a portion to grow and divide. The recursive formula an=1.5(an-1)-10
zaharov [31]

Answer:

Hence, the number of daylilies in the first year were:

600

Step-by-step explanation:

It is given that:

the recursive formula a_n=1.5(a_{n-1})-100 represents the number of daylilies, a, after n years.

Also we are given that in the fifth year they have 2,225 daylilies.

i.e.

a_5=2225

Also,

a_5=1.5a_4-100

a_4=1.5a_3-100

This means that:

a_5=1.5(1.5a_3-100)-100\\\\a_5=(1.5)^2a_3-100\times (1.5)-100

Similarly,

a_3=1.5a_2-100

so,

a_5=(1.5)^2\times (1.5a_2-100)-100\times (1.5)-100\\\\a_5=(1.5)^3a_2-(1.5)^2\times 100-(1.5)\times 100-100

and so, putting a_2 in terms of a_1 we get:

a_5=(1.5)^4a_1-(1.5)^3\times 100-(1.5)^2\times 100-(1.5)\times 100-100

Now on putting the value of a_5 we find the value of a_1

2225-(1.5)^4a_1-337.5-225-150-100\\\\2225=5.0625a_1-812.5\\\\2225+812.5=5.0625a_1\\\\3037.5=5.0625a_1\\\\a_1=\dfrac{3037.5}{5.0625}\\\\a_1=600

Hence, the number of daylilies in the first year were:

600

4 0
2 years ago
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