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jekas [21]
3 years ago
10

In the diagram NP= 16 units find NS.

Mathematics
1 answer:
Irina18 [472]3 years ago
8 0

Point P is located at 1/3 the distance from S to N

This means NP is 2/3 the distance.

16 /2 = 8, so each 1/3 distance is equal to 8.

NS = 8 units.

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Write a polynomial function of least degree with integral coefficients that has the given zeros of 5 and -2i
vova2212 [387]
Hello :
f(x) = (x-5)(x+2i)
      = x² +2ix -5x-10i
f(x) = x² +(2i-5)x -10i 
<span>coefficients : a =1      b = 2i-5     c =-10i</span>
5 0
3 years ago
-0.85 - (-¼) + 0.4 + (-⅖) ?<br> what is the value of the expression?
drek231 [11]

Answer: =−3/5

Step-by-step explanation: Hope this help :D

6 0
2 years ago
Social security tax that is 6.2% of her gross pay medicare tax that is 1.45% of her gross pay state tax that is 21% of her feder
user100 [1]

Marilyn's net pay will increase by $18.15 as her Federal Withholding Allowance increases from 3 to 4.

<h3>What is Federal Withholding Allowance?</h3>

A Federal Withholding Allowance is an exemption that lowers the amount of income tax you must deduct from an employee's paycheck.

Given: The following are the deductible computation:

  • For federal withholding allowance = 3:
  1. Social Security Tax: 6.2% of $810 = \frac{6.2\times810}{100} = $50.22
  2. Medicare tax : 1.45% of $810 = \frac{1.45\times810}{100} = $11.745
  3. State tax: (21% of 3)% of $810= \frac{21\times3 }{100} \times\frac{810}{100} = 0.63% of $810 = \frac{0.63\times810}{100} = $5.103

Total = $67.068; deducted amount of his gross pay = $810 - $67.068 $742.932 (3 federal withholding).

  • For Federal Withholding Allowance = 4:
  1. State tax: (21% of 4)% of $810 = (\frac{21\times4}{100}) \times\frac{810}{100} = 0.84% of $810 = \frac{0.84\times810}{100} =  $6.8704

Thus, as we can see from the calculations, the State taxes increased from $5.103 to $6.8704. Hence, the net pay increases by $18.15 as the federal allowance increases from 3 to 4.

To learn more about Federal Withholding Allowance, refer to the link: brainly.com/question/1212566

#SPJ4

4 0
2 years ago
A number is selected at random from the set {2, 3, 4,. 10}. Which event, by definition, covers the entire sample space of this e
Citrus2011 [14]

The event by definition that covers the entire sample space of the experiment is;

<em><u>The number is even or less than 12</u></em>

We are given the numbers in the set as;

set {2, 3, 4,... 10}.

Now, the numbers in the set are even and odd numbers from 2 to 10 with 10 being the highest and 2 being the lowest.

Thus the event that covers this sample space is simply a set of numbers that are even or less than 12.

Read more about sample space of set at; brainly.com/question/18866708

6 0
2 years ago
Of the 6.25 billion people in the world, 310 million live in North America. What percent of the world's population lives in Nort
Talja [164]

Answer:

The percent of the world's population lives in North America is <u>5%</u>.

Step-by-step explanation:

Given:

Of the 6.25 billion people in the world, 310 million live in North America.

Now, to find the percent of the world's population lives in North America.

Population of people in the world = 6.25 billion.

1 billion = 1000 million.

So, by using conversion factor we convert into million:

6.25 billion = 6250 million.

Population of people in North America = 310 million.

Now, to get the percent of the world's population lives in North America:

\frac{310}{6250} \times 100

=0.0496\times 100

=4.96\%.

So, the percent to the nearest whole number is 5%.

Therefore, the percent of the world's population lives in North America is 5%.

6 0
2 years ago
Read 2 more answers
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