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Pie
3 years ago
10

You were just hired as an apprentice architect. Your starting salary is $68,000 annually. What is your semimonthly salary

Mathematics
1 answer:
Vikki [24]3 years ago
8 0
Annual = $68,000
Semiannual = $34,000
Monthly = $5,666.67
Semimonthly or bimonthly = $2,833.33
Weekly = $1,416.67
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Six pyramids are shown inside of a cube. The height of the cube is h units. Six identical square pyramids can fill the same volu
MAXImum [283]

Answer:

(A)The height of each pyramid is One-half h units.

Step-by-step explanation:

Height of the Cube = h units

Volume of the Cube =h^3 $ cubic units

If Base of the cube =Base of the square pyramid

Base of the square pyramid = h units

\text{Volume of a Pyramid}=\dfrac{1}{3}*Base Area*Height

\text{Volume of One Pyramid}=\dfrac{1}{3}*h^2*Height

\text{Volume of Six Pyramids}=6*\dfrac{1}{3}*h^2*Height\\=(2h^2*Height)\:cubic\:units

Since Volume of the Cube = Volume of Six Square Pyramids

Then:

2h^2*Height=h^3\\Height=\dfrac{h^3}{2h^2} \\$Height of each pyramid =\dfrac{1}{2}h \:Units

5 0
3 years ago
Read 2 more answers
Lois and Clark own a company that sells wagons.The amount they pay each of their sales employees (in dollars) is given by the ex
Karolina [17]
12h + 30w represents the amount paid to each employee.....where h is the number of hrs and w is the number of wagons sold.

working 6 hrs and selling 3 wagons.....so h = 6 and w = 3

12h + 30w = total pay
12(6) + 30(3) =
72 + 90 =
162 = total pay <===


8 0
2 years ago
What number equals 2/9?​
kati45 [8]
So I would say 4/18 but it could probably be 18/81 to
3 0
2 years ago
Prime factorization of 1408
V125BC [204]

Answer:

There are 7 copies of 2 and 1 copy of 11 in the product:

1408 = 2^7×11

Step-by-step explanation:

Factor the following integer:

1408

The last digit of 1408 is 8, which means it is even. Therefore 1408 is divisible by 2:

1408 = 2 704:

1408 = 2×704

The last digit of 704 is 4, which means it is even. Therefore 704 is divisible by 2:

704 = 2 352:

1408 = 2×2×352

The last digit of 352 is 2, which means it is even. Therefore 352 is divisible by 2:

352 = 2 176:

1408 = 2×2×2×176

The last digit of 176 is 6, which means it is even. Therefore 176 is divisible by 2:

176 = 2 88:

1408 = 2×2×2×2×88

The last digit of 88 is 8, which means it is even. Therefore 88 is divisible by 2:

88 = 2 44:

1408 = 2×2×2×2×2×44

The last digit of 44 is 4, which means it is even. Therefore 44 is divisible by 2:

44 = 2 22:

1408 = 2×2×2×2×2×2×22

The last digit of 22 is 2, which means it is even. Therefore 22 is divisible by 2:

22 = 2 11:

1408 = 2×2×2×2×2×2×2×11

11 is not divisible by 2 since 11 is odd and 2 is even:

1408 = 2×2×2×2×2×2×2×11 (11 is not divisible by 2)

The sum of the digits of 11 is 1 + 1 = 2, which is not divisible by 3. This means 11 is not divisible by 3:

1408 = 2×2×2×2×2×2×2×11 (11 is not divisible by 2 or 3)

The last digit of 11 is not 5 or 0, which means 11 is not divisible by 5:

1408 = 2×2×2×2×2×2×2×11 (11 is not divisible by 2, 3 or 5)

Divide 7 into 11:

| | 1 | (quotient)

7 | 1 | 1 |  

- | | 7 |  

| | 4 | (remainder)

11 is not divisible by 7:

1408 = 2×2×2×2×2×2×2×11 (11 is not divisible by 2, 3, 5 or 7)

No primes less than 11 divide into it. Therefore 11 is prime:

1408 = 2×2×2×2×2×2×2×11

There are 7 copies of 2 and 1 copy of 11 in the product:

Answer: 1408 = 2^7×11

8 0
3 years ago
The average triglyceride level of adult males is 126 milligrams per deciliter. You want to determine whether the true mean male
crimeas [40]

Answer: The test statistic is 1.30 and the p-value is 0.1167.

Step-by-step explanation:

A test statistic is a random variable which is calculated from sample data and also used in a hypothesis test. It can also be used to know whether to reject the null hypothesis.

The test statistic is 1.30 and the p-value is 0.1167. The solution is attached below

7 0
3 years ago
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