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34kurt
3 years ago
13

Given the pay rate and hours worked, determine the gross earnings, Federal taxes (assuming 20% of gross earnings), state taxes (

assuming 6% of gross earnings), social security deduction (assuming 6.45% of gross earnings), total deductions, and net pay.
Mathematics
1 answer:
qaws [65]3 years ago
8 0

Answer: Total deductions= 0.3245ab and Net pay= 0.6755ab


Step-by-step explanation:

Suppose, the pay rate= a dollar per hour

And hours worked= b hours

Gross earning= the pay rate x hours worked

Gross earning= ab

Deductions are:

Federal taxes= 20% of gross earnings= 20/100 x ab= 0.2ab dollars

State taxes= 6% of gross earning= 6/100 x ab= 0.06ab dollars

Social security deduction= 6.45% of gross earning= 6.45/100 x ab= 0.0645ab

So,

The total deduction= federal taxes + state taxes + social security deduction

The total deduction= 0.2ab + 0.06ab + 0.0645ab= 0.3245ab dollars

And  

Net pay= gross earning – total deduction

Net pay= ab – 0.3245ab= 0.6755ab dollars


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zepelin [54]
To calculate hypothenuse you use the formula a^2+b^2=c^2 where c is the length of the hypothenuse.

1. 5^2+7^2=c^2
2.25+49=74
3. Now you will square root the 74
4. The hypothenuse is equal to 8.6
4 0
3 years ago
If A denotes some​ event, what does Upper A overbar ​denote? If ​P(A)equals0.999​, what is the value of ​P(Upper A overbar​)? Wh
meriva

Answer:

<h3>The event P(\overline{A}) denotes the complement of event A.</h3><h3>The value of P(\overline{A}) is 0.001</h3>

Step-by-step explanation:

Given that A denotes some event .

And also given that P(A)=0.999

<h3>To find the value of P(\overline{A}) :</h3>

Here the event P(\overline{A}) denotes the complement of event A Therefore P(\overline{A}) contains all the events that does not occur in A.

We know that the total probability is 1

So we have that

P(A)+P(\overline{A})=1

P(\overline{A})=1 -P(A)

=1-0.999

=0.001

Hence the complement of event A is P(\overline{A})=0.001

<h3>Therefore the value is P(\overline{A})=0.001</h3>

6 0
3 years ago
Two items in a package have a combined weight of 6 1/4 kg. If one weighs 2 5/8 kg what is the weight of the second item?
mamaluj [8]

Answer:

3 7/8

Step-by-step explanation:

6 1/4 = 25/4 and 2 5/8 = 19/8

25/4 - 19/8 = 3 7/8

6 0
3 years ago
What is the solution to 3/4b=8
soldier1979 [14.2K]

Answer:

b=\frac{32}{3}

Step-by-step explanation:

\frac{3}{4}b=8

Multiply both sides by 4:

4\times \frac{3}{4}b=8\times4

3b=32

Divide both sides by 3:

\frac{3b}{3}=\frac{32}{3}

b=\frac{32}{3}

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3 years ago
Use prime factorization to find the least common multiple of 54 and 36​
irinina [24]
Answer: 108


Explanation:

GCF(36,54) = 18
LCM(36,54) = ( 36 × 54) / 18
LCM(36,54) = 1944 / 18
LCM(36,54) = 108
6 0
2 years ago
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