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JulijaS [17]
3 years ago
9

Sam Kramer earns an annual salary of $38,900. He is paid semimonthly. His personal exemptions total $4826. The state income tax

on taxable wages is 2% of the first $1000, 3% on the next $3000, 3. 5% on the nest $3000, and 4% on the amount over $7000. How much is deducted from Sam’s salary each pay period for state income tax?
Mathematics
1 answer:
Alisiya [41]3 years ago
8 0

Step-by-step explanation:

we pay taxes of the income without the exemptions.

so, the tax-interresting amount is

38,900 - 4826 = $34,074

2% of the first $1000 = $20

$34,074 - 1000 = $33,074

3% of the next $3000 = $90

$33,074 - 3000 = $30,074

3.5% of the next $3000 = $105

$30,074 - 3000 = $27,074

4% of $27,074 = $1,082.96

so, in total he pays state taxes over a year

20+90+105+1082.96 = $1,297.96

now, he gets paid semimonthly, that means twice a month.

his salary but also his deductions (incl. tax deductions) are all split across these 24 paychecks per year.

so, each state income tax deduction is then

$1,297.96 / 24 = $54.08 on every paycheck.

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Find the equation of the line through point (5,1) and perpendicular to 5x−y=−3. Use a forward slash (i.e. "/") for fractions (e.
IRINA_888 [86]
Y = -1/5x + 2

A line perpendicular to another line has an opposite reciprocal slope. What opposite means is that you flip the sign (from - to + or from + to -) and reciprocal means that you flip the numerator and denominator (so if line A is perpendicular to line B and line As slope is -3, line Bs slope would be 1/3).

First find the slope of 5x - y = -3
Add y to both sides
5x = y - 3
Add 3 to both sides
y = 5x + 3

So the slope of the line is 5. That means the slope of of the perpendicular line is -1/5.

Plug the slope of the perpendicular line and the point (5, 1) into point slope form to solve the equation

y - y1 = m(x - x1)
y - 1 = -1/5(x - 5)
y - 1 = -1/5x + 1
y = -1/5x + 2
3 0
2 years ago
Increasing and decreasing Functions (anyone help):
Alekssandra [29.7K]

Step-by-step explanation:

the function of increasing for -2.5 < x < 2.5

or written as :

x > -2.5

x < 2.5

8 0
3 years ago
There are 15 candidates for 4 job positions.
Veronika [31]

Answer:

32760 ways

Step-by-step explanation:

Given

Number of Candidates = 15

Job Positions = 4

Required:

Number of outcomes

This question represent selection; i.e. selecting candidates for job positions;

This question can be solved in any of the following two ways

Method 1.

The first candidate can be chosen from any of the 15 candidates

The second candidate can be chosen from any of the remaining 14 candidates

The third candidate can be chosen from any of the remaining 13 candidates

The fourth candidate can be chosen from any of the remaining 12 candidates

Total Possible Selection = 15 * 14 * 13 * 12

<em>Total Possible Selection = 32760 ways</em>

<em></em>

Method 2:

This can be solved using permutation method which goes thus;

nPr = \frac{n!}{(n-r)!}

Where n = 15 and r = 4

So;

nPr = \frac{n!}{(n-r)!} becomes

15P4 = \frac{15!}{(15-4)!}

15P4 = \frac{15!}{11!}

15P4 = \frac{15*14*13*12*11!}{11!}

15P4 = 15*14*13*12

15C4 = 32760

<em>Hence, there are 32760 ways</em>

8 0
3 years ago
25.
bulgar [2K]

Using the slope concept, it is found that the angle between the ladder and the floor will be of 33.69º.

<h3>What is a slope?</h3>

The slope is given by the <u>vertical change divided by the horizontal change</u>, and it's also the tangent of the angle of depression.

In this problem, we have that:

  • The angle is of 45º.
  • The vertical distance is the height of h.
  • The horizontal distance is of 3m.

Hence:

tan(45º) = h/3.

1 = h/3.

h = 3 m.

If the ladder slides 1 m down, the height will be of 2m, hence the angle will be given as follows:

\tan{\theta} = \frac{2}{3}

\theta = \arctan{\left(\frac{2}{3}\right)}

\theta = 33.69^\circ

More can be learned about the slope concept at brainly.com/question/18090623

#SPJ1

8 0
2 years ago
1.6 liters = ___ milliliters A.160 B.0.016 C.1,600 D.0.0016
zvonat [6]
1.6 liters is 1600 milliliters. Hope this helps!
7 0
3 years ago
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