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3 years ago

Dennis Hausearns $67,000 per year as a business manager. His exemptions

Mathematics

1 answer:

nikklg [1K]3 years ago

4 0

Answer: $2,187.50

Step-by-step explanation:

Define all the exemptions that applie:

exemption for being married: $3000

exemption for 1 dependent: $ 1,500

3000 + 1500 = 4500

Subtract the exemptions from the yearly earnings:

67000 - 4500 = 62,500

Now, applied the 3.5 % tax

3.5 / 100 = (0.035)

62,500 x 0.035 = 2187.50

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yulyashka [42]

Answer:

Step-by-step explanation:

Women total age = 5 x 23 = 115

Men total age = 3 x 24 = 72

The mean age of all the people

= (115+72)÷(8)

= 23.375

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3 years ago

F(6) if f(x) = 2x – 5

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Step-by-step explanation:

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Which function has the greatest rate of change? A. x y 3 3 4 6 5 9 B. y = 4 + 6x C. 12x + 6y = 18 D. A linear function that goes

Alex787 [66]

Answer:

B. y = 4 + 6x

Step-by-step explanation:

We know that the rate of change of a straight line is equal to the slope of the line.

Now, the general form of a straight line is y = mx + b, where m is the slope and b is the y-intercept.

Also, the slope of a line joined by $( x_{1},y_{1} )$ and $( x_{2},y_{2} )$ is given by $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$ .

So, using these, we will find the slopes of the lines given in the options.

A. Here, we are given two points (3,3) and (4,6). Then, the slope is given by,

$m_{1}=\frac{6-3}{4-3}$ i.e. $m_{1}=3$ .

B. We have the equation of line y = 4 + 6x. On comparing it with the general form, we get that the slope is 6 i.e. $m_{2}=6$ .

C. We are given the standard form of a line. First, we convert it into the slope-intercept form ( or the general form ).

i.e. 12x + 6y = 18 → 2x + y = 3 → y = -2x + 3

Now, on comparing this equation with the general form of a line, we get that the slope is -2. i.e. $m_{3}=-2$ .

D. Here, we are given a linear function passing through (1,-1) and (0,4). Then the slope is given by,

$m_{1}=\frac{4+1}{0-1}$ i.e. $m_{4}=-5$ .

Hence, we obtain that the function y=4+6x has the greatest slope or the greatest rate of change i.e. $m_{2}=6$ .

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3 years ago

Which of the following equations best represents the relationship in the table?

vazorg [7]

Answer: A y= -4x + 2

Step-by-step explanation:

y= mx + b

when x is 0, y is 2 which you make the y intercept (b) 2

going from x=0 to x=1, the y coordinate moves down 4, so the slope would be -4

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3 years ago

at a library book sale, hardcover books sell for $4 and paperbacks sell for $2. The expresstion 4b+2b represents the total cost

Aleonysh [2.5K]

Answer:

6b is a simpler expression that is equivalent to 4b+2b.

Step-by-step explanation:

Given : At a library book sale, hardcover books sell for $4 and paperbacks sell for $2.

The expression 4b+2b represents the total cost for b hardcover books and b paperbacks.

We have to write a simpler expression that is equivalent to 4b+2b.

Equivalent expression are expression which are different in seeing but when we solve both we get the values same as the original expression.

Given expression is 4b+2b,

We can take 2b common from terms to get an equivalent expression as,

4b+2b = 2b(2+1) = 2b(3) = 6b.

Thus, 6b is a simpler expression that is equivalent to 4b+2b.

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