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enyata [817]
2 years ago
13

James, who works as an accountant, is paid for overtime. Last week he worked 11,9,8,8 and 8 hours respectively on his weekdays.

How much was he paid for this week if he is paid 1.5 times his regular rate when he is working longer than 8 hours on any day? His pay per hour is $9.6
Mathematics
1 answer:
Margaret [11]2 years ago
7 0

Answer:

441.60

Step-by-step explanation:

4 hours of 1.5 times is 38.40 + 19.20=57.60

40 hours at 9.60 = 384

384+ 57.60== 441.60

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Determine whether the following statements are true and give an explanation or counterexample.
Furkat [3]

Answer:

A) When using the shell​ method, the axis of the cylindrical shells is parallel to the axis of revolution. True.

The Shell method is a technique used to find the volume of a solid of revolution. Here, we take thin shells with axis coinciding with the axis about which the region whose volume is to be found, is revolved.

B) If a region is revolved about the​ y-axis, then the shell method must be used. False.

This method can be used with any axis of rotation.

C) If a region is revolved about the​ x-axis, then in principle it is possible to use the​ disk/washer method and integrate with respect to x or the shell method and integrate with respect to y. True.

The washer method uses thin disks with infinite width but the shell method uses thin concentric shells with infinite width about the axis of revolution. So, the statement is true.

5 0
3 years ago
Kelsey must pay $200 to rent a booth at the craft fair. The materials for each pendant cost $7.80, and she plans to sell each pe
cupoosta [38]

Answer:

Kelsey must produce 34 more pendants.

Step-by-step explanation:

Giving the following information:

Fixed costs= $200

Unitary variable cost= $7.8

Selling price per unit= $13.5

Desired profit= $50

<u>To determine the number of units to be sold, we need to use the break-even point in units formula.</u>

Break-even point in units= (fixed costs + desired profit) / contribution margin per unit

Break-even point in units= (200 + 50) / (13.5 - 7.8)

Break-even point in units= 250/5.7

Break-even point in units= 43.86 = 44

Kelsey must produce 34 more pendants.

3 0
3 years ago
A construction worker is looking at blueprints drawn to a 1/20 scale and notices that a wall is 0.5 feet by 0.25 feet. He claims
Gnoma [55]

Answer:

incorrect

Step-by-step explanation:

we are finding area which is squared, or we can put it in an equation, (0.5*20)*(0.25*20) or 0.5*0.25*20^2 which equals 50      but (0.5*0.25)*20 only equals 2.5    therefor he is incorrect and the correct answer would be 20^2 or 400 times the area.

hope this helps :)

5 0
3 years ago
There are 210210210 students in a twelfth grade high school class. 909090 of these students have at least one sister and 1051051
BlackZzzverrR [31]

Answer:

(1) The value of P (A) is 0.4286.

(2) The value of P (B) is 0.50.

(3) The value of P (A ∩ B) is 0.2143.

(4) The the value of P (B|A) is 0.50.

(5) The events <em>A</em> and <em>B</em> are independent.

Step-by-step explanation:

The events are defined as follows:

<em>A</em> = a student in the class has a sister

<em>B</em> = a student has a brother

The information provided is:

<em>N</em> = 210

n (A) = 90

n (B) = 105

n (A ∩ B) = 45

The probability of an event <em>E</em> is the ratio of the favorable number of outcomes to the total number of outcomes.

P(E)=\frac{n(E)}{N}

The conditional probability of an event <em>X</em> provided that another event <em>Y</em> has already occurred is:

P(X|Y)=\frac{P(A\cap Y)}{P(Y)}

If the events <em>X</em> and <em>Y</em> are independent then,

P(X|Y)=P(X)

(1)

Compute the probability of event <em>A</em> as follows:

P(A)=\frac{n(A)}{N}\\\\=\frac{90}{210}\\\\=0.4286

The value of P (A) is 0.4286.

(2)

Compute the probability of event <em>B</em> as follows:

P(B)=\frac{n(B)}{N}\\\\=\frac{105}{210}\\\\=0.50

The value of P (B) is 0.50.

(3)

Compute the probability of event <em>A</em> and <em>B</em> as follows:

P(A\cap B)=\frac{n(A\cap B)}{N}\\\\=\frac{45}{210}\\\\=0.2143

The value of P (A ∩ B) is 0.2143.

(4)

Compute the probability of <em>B</em> given <em>A</em> as follows:

P(B|A)=\frac{P(A\cap B)}{P(A)}\\\\=\frac{0.2143}{0.4286}\\\\=0.50

The the value of P (B|A) is 0.50.

(5)

The value of P (B|A) = 0.50 = P (B).

Thus, the events <em>A</em> and <em>B</em> are independent.

6 0
3 years ago
What is the simplest form for 10/42
QveST [7]


2 goes into both numbers, so divide both by 2;

10 ÷ 2 = 5

42 ÷ 2 = 21

so 10/42 in simplest form is: 5/21

7 0
3 years ago
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