Simon's salary has increased by 6% p.a. over the past three years. it is now $35730.40 p.a.
a) what did he earn per year three years ago
b) what is his gross monthly salary at the present rate
c) His deductions each month amount to 22.5% of his gross salary. what is his net pay per month?​

Answers

Answer 1

Answer:

Step-by-step explanation:

The employee earns $10,100/month, with his employer paying 1.5 times the regular rate of pay for overtime hours. To date, he has earned $124,740 during the year. He has requested that his employer withhold 12% of gross pay, which is to be contributed to a 401(k) plan. Taxable income for federal income tax withholding = $

Answer 2

(a) Simon's salary three years ago is $33586.576.

(b) Gross monthly salary at the present is $2798.88.

(C)  Net pay per month is $2169.09.

What is a word problem?

A word problem is a verbal description of a problem situation. It consists of few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.

For the given situation,

The Simon's salary at present = $35730.40 p.a.

Increased rate = 6% = 0.06

(a) Simon's salary three years ago:

⇒ [tex]\$35730.40(0.06)[/tex]

⇒ [tex]\$2143.824[/tex]

Original salary of Simon,

⇒ [tex]35730.40-2143.824[/tex]

⇒ [tex]\$33586.576[/tex]

(b) Gross monthly salary at the present:

⇒ [tex]\frac{33586.57}{12}[/tex]

⇒ [tex]2798.88[/tex]

(C)  Net pay per month:

Deductions each month amount to 22.5% of his gross salary,

⇒ [tex]22.5\%=0.225[/tex]

⇒ [tex]2798.88(0.225)[/tex]

⇒ [tex]\$629.79[/tex]

Thus net pay per month,

⇒ [tex]2798.88-629.79[/tex]

⇒ [tex]\$2169.09[/tex]

Hence we can conclude that

(a) Simon's salary three years ago is $33586.576.

(b) Gross monthly salary at the present is $2798.88.

(C)  Net pay per month is $2169.09.

Learn more about word problems here

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Related Questions

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Answer:500 g

Step-by-step explanation:

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20 degrees

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Answer:

[tex]\frac{(x + 1)(x - 2)}{x^{2} + 5}[/tex] This is the third option.

Step-by-step explanation:

Dividing a fraction is the same as multiplying the reciprocal of the second fraction.

[tex]\frac{x + 1}{x + 4}[/tex] × [tex]\frac{(x + 4)(x - 2)}{x^{2} + 5}[/tex]

[tex]\frac{(x + 1)(x + 4)(x - 2)}{(x + 4)(x^{2} + 5)}[/tex]  Here, we can just get rid of the (x + 4) because it is common in both the numerator and denominator so they cancel each other out.

So the answer would be [tex]\frac{(x + 1)(x - 2)}{(x^{2} + 5)}[/tex] .

I hope this makes sense!! ^-^

An even number is divisible by 2.
if - then :
hypothesis:
conclusion:​

Answers

Answer:

A logical sentence is written as:

If P, then Q.

Where:

P = hypothesis

Q = conclusion.

For this particular case, we know that a number is even only if the number is divisible by 2.

Then we can write:

if a number is divisible by 2, then it is an even number.

Here we have:

hypothesis = a number is divisible by 2.

conclusion = the number even.

Which of the following expressions are equivalent?
A. –3(3x + 5) and –9x + 5
B. 7(6x – 1) and 42x – 7
C. –6(4x – 3) and –6x
D. 5(2x + 3y) and 25xy

Answers

Answer:

B. 7(6x – 1) and 42x – 7 is equivalent

Step-by-step explanation:

A. –3(3x + 5) and –9x + 5

=–3(3x + 5)=-9x-15 not equivalent

B. 7(6x – 1) and 42x – 7

7(6x – 1)=42x-7 equivalent

C. –6(4x – 3) and –6x

=–6(4x – 3)=-24+18 not equivalent

D. 5(2x + 3y) and 25xy

=5(2x + 3y)=10x+15y not equivalent.

PLEASE HELP ME GIVING BRAINLEST AND NO LINKS!!!

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Answer:

1.)280 2.)142.5 3.)30

Step-by-step explanation:

What is the product of -3 1/3 and -8 7/10?

Answers

Answer:

29

Step-by-step explanation:

-3 1/3 • -8 7/10

-10/3 • -87/10

870/30

29

five less than three time a number is greater than two thrirds of that number

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Answer:

3x - 5 > 2/3x

Step-by-step explanation:

Determine the value of x in each figure.
HELPPPPP PLEASEEEEE

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Answer:

15°

Step-by-step explanation:

120° and 8x are vertically opposite angles, which are always equal.

=> 8x = 120°

=> x = 120/8

=> x = 15°

The measure of arc BC is ___ degrees.

Answers

Answer:

150

Step-by-step explanation:

2 sin^2 (x) + 3 sin (x) + 1 = 0
help me find the solution

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Answer:

Step-by-step explanation:

\[2~ sin^2 x+3sin x+1=0\]

\[2sin^2x+2sin x+sin x+1=0\]

2sinx(sin x+1)+1(sin x+1)=0

(sin x+1)(2 sin x+1)=0

either sin x+1=0

sin x=-1=sin 3π/2=sin (2nπ+3π/2)

x=2nπ+3π/2,where n is an integer.

or 2sin x+1=0

sin x=-1/2=-sin π/6=sin (π+π/6),sin (2π-π/6)=sin (2nπ+7π/6),sin (2nπ+11π/6)

x=2nπ+7π/6,2nπ+11π/6,

where n is an integer.

Sam plays a basketball training game, she gets s points for every basket. The equation ya shows the total number of points she scores, which depends on the Belect the graph with the correctly labeled aves for

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Answer:

Step-by-step explanation:

On my screen it is C. Which is number of baskets on the bottom and total pints in the side. Hope this helps:)

can somebody help!! fastest and correct answer gets brainly!

Answers

Answer and Step-by-step explanation:

We know that the triangle got dilated by a scale factor of 4. This means that the sides are multiplied by 4.

So 6 becomes 24, and 8 becomes 32.

Now, we find the area of the triangle.

24 × 32 = 768

768 ÷ 2 = 384.

The answer is D. 384 square cm.

The answer IS NOT B. 96 square cm, because you don't multiply the area of the triangle before the dilation. The dilation occurs first, and then you have to find the area.

#teamtrees #PAW (Plant And Water)

Suppose a book has been on a desk 1 m above the floor. A student accidentally knocks the book off of the desk and it falls to the floor. During this process, ___________ energy has been changed into _______ energy.

Answers

Answer: Potential; Kinetic

Step-by-step explanation:

''...During this process, potential energy has been changed into kinetic energy.''

Potential energy is the energy that a stationery object has because it is stored within the object. In this case the object is the book.

When an object begins to move, it gains kinetic energy which is converted from its potential energy. As the book falls to the floor in this scenario, it gained kinetic energy as its potential energy was converted to enable it move.

Question 1
1.1
The difference between two numbers is 308328.If the smaller number is
6524, what is the larger number?
-(2) maths

Answers

Answer:

Let get small number is x and large number is y.

The difference between two numbers is 308328.

ie. y- x = 308328.

If the smaller number is

6524.

So, x= 6524.

Hence,

y - x = 308328

y- 6524 = 308328

y = 308328 + 6524

y = 314852

Step-by-step explanation:

Chandra and her friends bought three tubs of popcorn at the movies for t dollars each and some candy that cost $7.00. If the girls spent less than $28, what is the most a tub of popcorn could cost? Write an inequality to represent the situation.

Answers

Answer:

3t+ 7 < 28

Step-by-step explanation:

The inequality function as follows;

Given that the cost is $7

There are three tubs of popcorn i.e. t

And, if the girl spend lower than $28 so the inequality function is

3t + 7<28

Hence, the above represent the answer

The ratio of red to blue marbles in a bag is 2:5. If there are 65 blue marbles in the bag, how many red marbles are there? Let x represent the number of red marbles. Set up a proportion and cross multiply to solve.

Answers

Answer:

first get the total ratio; 2 + 5 = 7

so the fraction of blue marbles is 5/7

then assume the number of total marbles to be k

then use the expression;

5/7*k = 65

7*5/7 * k = 65*7

5k =455

5/5k = 455/5

k = 91

then calculate the number if red marbles from;

x = 2/7*91

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calculate the first four terms t=3n+2

Answers

Answer:

[tex]n = \frac{t - 2}{3} [/tex]

Step-by-step explanation:

1) Subtract 2 from both sides.

[tex]t - 2 = 3n[/tex]

2) Divide both sides by 3.

[tex] \frac{t - 2}{3} = n[/tex]

3) Switch sides.

[tex]n = \frac{t - 2}{3} [/tex]

Therefor, the answer is n = t-2/3.

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Answers

Answer:

your answer is

1 - o

16- 2

20 - 5

24 - 4

Step-by-step explanation:

LOL i also have a acer laptop but its paired with windows 10

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Answers

Answer:

the median should be 2.5

Answer:

2.5

Step-by-step explanation:

By taking the dots ploted on the graph we can take those as actual numbers and put them on a line.

0, 1, 1, 2, 2, 2, 3, 3, 3, 4, 4, 5

Now you will take off the numbers until you get to the middle number

0, 1, 1, 2, 2, 2, 3, 3, 3, 4, 4, 5

Because the middle two numbers are 2 and 3, you take the mean of the two numbers.

(2 + 3) / 2

= 2.5

HELP giving brainlest and extra points

Answers

divide tomato genome and human genome and you'll get

= 0.3

standard form is

3 × 10-¹

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Answer:

The answer is 35 degrees because 60-25=35.

Step-by-step explanation:

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The answer is the C=10p

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Answer:

it might be 390

Step-by-step explanation:

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The length of a side of a square is (6x + 6) km. Find the area of the square in terms of
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Answers

36x^2+72x+36 I think

Today, everything in the store is on sale. The store offers a 20% discount.

A) The regular price of a t-shirt is $18. What is the discount price?

B) Which equation represents this problem?
a) y = 0.8x b) y = 0.2x c) y = 1.80x d) y = 1.20x

C) The discount price of a hat is $18. What is the regular price?

Answers

A) The regular price of a t-shirt is $18. What is the discount price?

$14.4

B) Which equation represents this problem?

a) y = 0.8x b) y = 0.2x c) y = 1.80x d) y = 1.20x

The answer would be B.

C) The discount price of a hat is $18. What is the regular price?

22.5

Hope it helped!! ^^

Note: if you need me to explain i Would be happy to do so! :)

hey can you state what's wrong in the given solution.

=》
[tex]0 = 0[/tex]

we know, zero is always equal to zero

=》
[tex]16 - 16 = 20 - 20[/tex]
because, 16 - 16 = 0
and 20 - 20 = 0

=》

taking 4 as common from 16 - 16 and 5 as common from 20 - 20
[tex]4(4 - 4) = 5(4 - 4)[/tex]
now dividing both sides by
(4 - 4)

=》
[tex] \frac{4(4 - 4)}{(4 - 4)} = \frac{5(4 - 4)}{(4 - 4)} [/tex]
=》
[tex]4 = 5[/tex]
because, (4 - 4) in denominators of both sides cancels out (4 - 4) in numerator of both sides.

=》
[tex]2 + 2 = 5[/tex]
we know, 4 = 2 + 2 , so plugging (2 + 2) in place of 4

Answers

Answer:

i also guess 2+2=4 not 5 ╮(╯▽╰)╭

A shaded semicircle is inside a circle as shown.

Answers

Answer:

Answer is on the picture

Step-by-step explanation:

Answer is on the picture

A contractor digs a rectangular hole for the basements of a new house that is 10 1/2 feet deep. What is the width of the hole if 6,510 cubic feet of dirt are removed?

Answers

Answer:

w = 2√155 ft ✅

Step-by-step explanation:

Given that:

depth (d) = 10½ ft

Volume (v) = 6,510 ft³

Find the width (w) of the hole!

If the base is a square, then

the width and the length of the base is 'equal', so the

Volume of a cuboid =

V = w²d

width = square root of the division of volume by depth

w = √(V/d)

w = √(6,510/10½)

w = √620

w = √(4×155)

w = 2√155 ft ✅

_________________

#StayPositive - kexcvi

from Indonesia

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