If I make 11.50 an hour working full time (40 hours a week) how much money do i make a year after deducting 60 dollars of taxes from my pay check every month? ( Keep in mind, some months have 4 weeks and some have 5 wks and I get paid bi-weekly not semi monthly )

Answers

Answer 1
Answer: Given:
hourly rate = 11.50
hours worked in a week = 40 hours
taxes per moth = 60

Every month may be 4 weeks or 5 weeks but we know that 1 year has 52.1429 weeks.

Let us compute for the whole year:

Earnings:
11.50 /1 hour * 40 hours/1week * 52.1429 weeks/1year  
= 11.50 * 40 *  52.1429/year
= 23,985.734 per year

Taxes:
60 / per month * 12 months / 1 year
= 60 * 12/year
= 720 per year

Net earning per year
23,985.734 - 720 = 23,264.734 

Net earning per month
23,264.734 ÷ 12 months = 1,938.81 

You will earn 23,264.73 annually from a monthly earning of 1,938.81

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Find the difference 9/11-5/12

Answers

First we need to find a common denominator.  For this one, the easiest way to do that is multiply 11 x 12 = 132

now convert the numerator

9x12 = 108
5x11 = 55

108/132 - 55/132 =

now just subtract the numerators

108/132 - 55/132 = 53/132

A surveyor has poles A, B, and C set to form a right triangle with the right angle at B. If the distance from A to B is 35 meters and the distance from B to C is 25 meters, what is the distance from A to C? He can t measure it because there is a deep pond between points A and C.

Answers

It's about Pythagorean theorem.

AB*AB + BC*BC = AC*AC, so:

35*35 + 25*25 = AC*AC
1225 + 625 = AC*AC
1850 = AC*AC

So AC is a root of 1850, which is ~43 (exactly: 43,01162633521313)

It means that distance between A and C is 43 meters and some milimeters.

Find the product of (4x − 3)(2x2 − 7x + 1). 8x3 − 22x2 + 17x− 3

8x3 + 8x2 + 4x − 3

8x3 − 34x2 + 25x − 3

8x3 − 42x2 + 25x − 3

Answers

(4x - 3)(2x^2 -7x + 1)=\n\n(4x)(2x^2) - (4x)(7x) + (4x)(1) - (3)(2x^2) + (3)(7x) - (3)(1) =\n\n8x^3-28x^2 + 4x - 6x^2+21x-3=\n\n8x^3-34x^2+25x-3

The correct answer is C.

Find the product of (4x − 3)(2x2 − 7x + 1).

Answer:

8x3 − 34x2 + 25x − 3

(Took the exam)

Square root of -25 in imaginary form

Answers

remember
√(mn)=(√m)(√n)

and
√-1=i

√-25=(√-1)(√25)=(i)(5)
aswer is +/-5i
root (-25) = root(-1) * root(25) 
in imaginary form we know that root(-1) = i 
so root(-25) = 5 i 

teacher asked her students write down the number of hours studied rounded to the nearest half hour. she complies the results in develops the probability distribution below for randomly selected student. what is the mean of the probability distribution

Answers

Answer:

1.5

Step-by-step explanation:

The question is incomplete due to the probability distribution table, investigating you can find it so I will attach it.

Having the table, we need to find the mean of the probability distribution, which is defined as the sum of the product of probability and value of random distribution, that is:

M = Sum (xi) * P (xi)

We replace:

M = 0.5 * 0.07 + 1 * 0.2 + 1.5 * 0.46 + 2 * 0.2 + 2.5 * 0.07

M = 1.5

Therefore, the mean of the given table is 1.5

Write a real world situation that would representby the system y=3x +20 and y=5x + 10

Answers

there are 2 car rental companies
the first one charges 3 dollars per day you drive plus a 20 dollar insurance fee

the second one charges 5 dollars per day and a 10 dollar insurance fee
y=cost
x=days