Suppose the income tax rate is 6%. Determine the amount of money remaining after paying income tax on
an income of $50,000

Answer:

Step-by-step explanation: I had $37 in my bank account but my monthly fee for PlayStation plus Internet connection is $40 so my bank account  Got drafted 3 dollars that I didn’t have So now I have -3 dollars

Answer:

d. Cos B = 9/41

Step-by-step explanation:

Recall, SOHCAHTOA.

Cos B = Adjacent length / Hypotenuse length

Adjacent length to reference angle B = 27

Hypotenuse length = 123

Cos B = 27/123 = 9/41

Step-by-step explanation:

Correct, the dilation is an enlargement .

the base '4'  becomes  '6'     a factor of 1.5       ( because 1.5 * 4 = 6)

Answer: 18

Step-by-step explanation:

Answer:

\(\frac{115\pi }{6} \\or\\19.16666667\pi\)

Step-by-step explanation:

Arc length is \(2\pi r*\frac{o}{360}\)

r is 46 theta is 75

\(2(46)\pi *\frac{75}{360} \\92\pi *\frac{75}{360} \\\frac{6900\pi }{360} \\\frac{115\pi }{6} or 19.166666667\pi\)

Functions can either be discrete or continuous.

The function is given as:

\(\mathbf{y = 35x}\)

Where x represents the number of blankets

x can only take whole numbers (i.e 0, 1, 2....)

A discrete function is such that can only non-decimal values.

Hence, the function is discrete

(b) The domain

In (a), we listed the values of x to be: (0,1,2...)

This means that, the domain is: \(\mathbf{[0,\infty)}\)

(c) The range

When x = 0, we have:

\(\mathbf{y = 35x}\)

\(\mathbf{y = 35 \times 0 = 0}\)

This means that, the range is: \(\mathbf{[0,\infty)}\)

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Answer:

3-5 minutes

Step-by-step explanation:

The average heart rate is 60-100 per minute.

make the decimal into into 3

then

3/10×3 =9/10=0.9

Approximately 17.65% of Ana's salary is withheld for taxes.

To calculate the percentage of Ana's salary that is withheld for taxes, we need to determine the amount of tax withheld and then express it as a percentage of her net salary.

Number of hours worked per week (H) = 25 hours

Hourly wage (W) = $10

Net salary (S) = $212.50

Calculate the total earnings before taxes:

Total earnings = Hours worked * Hourly wage

Total earnings = 25 hours * $10/hour

Total earnings = $250

Determine the amount of tax withheld:

Tax withheld = Total earnings - Net salary

Tax withheld = $250 - $212.50

Tax withheld = $37.50

Calculate the percentage of salary withheld for taxes:

Percentage withheld = (Tax withheld / Net salary) * 100

Percentage withheld = ($37.50 / $212.50) * 100

Percentage withheld ≈ 17.65%

Therefore, approximately 17.65% of Ana's salary is withheld for taxes.

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Answer:

-26

Step-by-step explanation:

first, simplify the equation

2(a - 4) -4(a + 3)

distribute

2a -8 -4a -12

combine like terms

-2a - 20

now plug in a =3

-2 (3) -20

simplify by distributing then solving

-6 -20

= -26

A repeating decimal is acceptable to use during calculations when you require a certain level of precision

A repeating decimal is acceptable to use during calculations when you require a certain level of precision, but it's important to keep in mind that the result will be an approximation rather than an exact value.

It is commonly used in situations where a rounded value is sufficient and the level of precision doesn't significantly impact the final result.

On the other hand, you should convert a repeating decimal to a fraction for calculations when you need an exact value or when further mathematical operations or comparisons are required.

Converting a repeating decimal to a fraction allows for precise calculations and eliminates any potential rounding errors associated with working with decimal approximations.

Converting a repeating decimal to a fraction involves identifying the repeating pattern and expressing it as a fraction. This allows for exact calculations and maintains the mathematical properties of fractions.

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The power set P(A) is P(A) = { {}, {x}, {y}, {z}, {x,y}, {x,z}, {y,z}, {x,y,z} }

The power set of a set A is the set of all subsets of A, including the empty set and A itself.

For the set A = {x, y, z}, the possible subsets are:

Therefore, the power set of A, denoted P(A), is:

P(A) = { {}, {x}, {y}, {z}, {x,y}, {x,z}, {y,z}, {x,y,z} }

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Answer:

Step-by-step explanation:

From the given information:

x = number of ads in sports illustrated

y = number of ads in Man's health

Thus, the total ads read by z = (4x +y) million people

The objective function to maximize Z (millions) is:

Z = 4x + y

To determine x & y; constraint to,

x  ≥ 3,  y  ≥  4

Budget constraint:  2000x + 1000y ≤ 14000

By approaching the graphically

If we draw the line x = 3 , y = 4

Then;

2000x + 1000y = 14000

2x + y = 14

Corner points are A (3,4), B(5,4), C(3,8)

At A(3,4):

Z = 4(3) + 1 (4) = 16

At B(5,4):

4(5) + 1 (4) = 24

At C(3,8):

4(3) + 1(8) = 20

Thus, Z = 24 million.    x = 5, y = 4

Therefore;

they should place 5 ads in sports illustrated.

4 ads in man's health to maximize the number of 24 million readers.

Answer:

y = -32

Step-by-step explanation:

-6(y+15)=-3y+6

Distribute

-6y - 90 = -3y +6

Add 6y to each side

-6y -90+6y = -3y+6y +6

-90 = 3y+6

Subtract 6 from each side

-90 -6 = 3y +6-6

-96 = 3y

Divide by 3

-96/3 = 3y/3

-32 = y

Answer:

-32 !!!!

Step-by-step explanation:

Answer:

6x - 15

Step-by-step explanation:

(2x - 5)3

3(2x) - 3(5)

6x - 15

Therefore, Paxton will need to invest her money for approximately 21.62 years to increase her investment from $4850 to $8000 at a simple interest rate of 7.6% per year.

To determine how long Paxton needs to invest her money in order for it to increase to $8000, we can use the formula for simple interest:

I = P * r * t

Where:

I = Interest earned

P = Principal (initial investment)

r = Interest rate per year (expressed as a decimal)

t = Time (in years)

Given that Paxton invests $4850 at an interest rate of 7.6% per year, we have:

4850 * 0.076 * t = 8000

Simplifying the equation:

369.8t = 8000

To find t, we divide both sides of the equation by 369.8:

t ≈ 8000 / 369.8 ≈ 21.62 years

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The value of m ∠ABC=86° ,because of the cyclic quadrilaterals.

Hence, Option (B) is correct.

Since, We know that,

A cyclic quadrilateral is a four-sided polygon whose vertices all lie on a common circle.

The opposite angles of a cyclic quadrilateral have a total of 180°.

Hence, We can formulate;

m ∠ABC +  m ∠ADC  = 180°

m ∠ABC + 94° = 180°

m ∠ABC = 180° - 94°

m ∠ABC = 86°

Similarly, one can find m∠DCB

m∠DAB +  m∠DCB  = 180°

99° + m∠DCB = 180°

m∠DCB = 180° - 99°

m∠DCB = 81°

Hence, m∠ABC = 86°

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Answer:

Y-intercept=(0, 2)

X-intercepts=(-4,0) & (-2,0)

Step-by-step explanation:

X and y- intercepts are determined when they pass through either the x or y axis. If the line passes through the x axis it is the x-intercept and vice versa for y.

Hope this helped.

Answer:

commutative property of multiplication

Step-by-step explanation:

Answer:

Multiplication Property

Answer:

75 games

Step-by-step explanation:

5 : 3 =8

8 = 120 games

1= 120÷8

=15

Games the team win:

= 5×15

= 75 games

If  team's win-loss ratio was 5 to 3. If the team played 120 games without a tie then 75 games are win by team.

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

Given,

The team's win-loss ratio was 5 to 3.

The team played 120 games without a tie.

We need to find how many games did the team win

5x+3x =8x

8x = 120 games

Divide both sides by 8

x= 120/8

x=15

Games the team win:

= 5×15

= 75 games

Hence, 75 games did the team win.

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Answer:

10 root 2

Step-by-step explanation:

root 200 = root 2 × root 100 = 10 root 2

Answer:

3x + n+6

Step-by-step explanation:

The required expression to represent the situation is; 3n+18

According to the question;

Hence, it follows that, the absolute value of the sum of a number and 6 is; |n + 6|.

Hence, 3 times the absolute value is;

Hence, upon evaluation; the expression is; 3n + 18

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The square of a binomial, when the binomials are subtracted, is defined as follows:

(a - b)² = a² - 2ab + b².

When the two binomials are added, the square is given as follows:

(a + b)².

Expanding the square, we have that:

(a + b)² = (a + b) x (a + b).

(a + b)² = a² + ab + ab + b².

(a + b)² = a² + 2ab + b².

Which is the result presented in this problem.

Now, when the binomial has a minus sign, involving a subtraction, the pattern is obtained as follows:

(a - b)² = (a - b) x (a - b).

(a - b)² = a² - ab - ab + b².

(a - b)² = a² - 2ab + b².

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Answer: 36

Step-by-step explanation:

Simply do 24/(2/3) to get 36 2/3 ounce slices.

Hope it helps <3

Answer:

10/3

Step-by-step explanation:

X is the what in this equation.

6x = 20

x = 20/6

x = 10/3

Six times 10/3 is equals to 20.

The mathematical operation of multiplication is arithmetic. Additionally, it involves repeating the same forms of statements.

Example - 2 × 3 means 2 is added three times, or 3 is added 2 times.

Let x be the required number.

Then to find what times 6 equals 20:

We have expression,

6x = 20

Simplifying,

x = 20 /6

x = 10/3

The number is 10/3.

Therefore, the required number is 10/3.

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Answer:

7

Step-by-step explanation:

:)

Answer:

D: 7

Explanation: after the decimal, its tenths, hundredths, thousandths

Answer:

y=1/3x+10.5

Step-by-step explanation:

y=mx+b, the equation of the parallel line is  y=1/3x+1/2. So we know the slope is 1/3 and all we need is the Y intercept (b). We can find that manually with arithmetic because we know the slope. It turns out to be 10.5

Answer:

It would decrease

Step-by-step explanation: