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BigorU [14]
3 years ago
5

Valerie works in a law office. Her annual salary is 24,000. Valerie is paid monthly and pays income tax of 15% on her earnings o

ver $944 plus $76.60. How much income tax does she pay each month?​
Mathematics
1 answer:
Darina [25.2K]3 years ago
6 0

Answer: $235

Step-by-step explanation: First you need to calculate how much her monthly salary is. Her annual salary is $24,000, so you need to divide by 12 to determine how much she is paid each month. $24,000/12 = $2,000 per month.

She pays income tax on her earnings over $944. The amount of her earnings over that threshold is $2,000 - 944 = $1,056.

To determine the total tax it is .15 x 1056 + 76.60=

$158.40 + 76.60=

$235 = Total Income Taxes

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The ellipse with x-intercepts (2, 0) and (-2, 0); y-intercepts (0, 4) and (0, -4).
masya89 [10]

Answer:

\dfrac{x^2}{4}+\dfrac{y^2}{16}=1

Step-by-step explanation:

If the ellipse has its x-intercepts at points (2, 0) and (-2, 0) and y-intercepts at points (0, 4) and (0, -4), then its symmetric across the y-axis and across the x-axis.

Moreover,

a=2\\ \\b=4

The equation of such ellipse is

\dfrac{x^2}{a^2}+\dfrac{y^2}{b^2}=1

Hence, the equation of the ellipse is

\dfrac{x^2}{2^2}+\dfrac{y^2}{4^2}=1\\ \\ \\\dfrac{x^2}{4}+\dfrac{y^2}{16}=1

3 0
3 years ago
Determine between which consecutive integers the real zeros of y(x) = x2 - 4x – 2 are located.
Sholpan [36]

Answer:

The zeros are x1=4.45 and x2=-0.45.

x1 is between 4 and 5.

x2 is between -1 and 0.

Step-by-step explanation:

We have the function:

y(x) = x2 - 4x-2

As this is a quadratic function, we can calculate the zeros of the function with the quadratic equation:

x_{1,2}=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\\\x=\dfrac{-(-4)\pm\sqrt{(-4)^2-4\cdot 1\cdot(-2)}}{2\cdot 1}\\\\\\x=\dfrac{4\pm\sqrt{16+8}}{2}\\\\\\x=\dfrac{4\pm\sqrt{24}}{2}\\\\\\x=\dfrac{4\pm4.9}{2}=2\pm2.45\\\\\\x_1=2+2.45=4.45\\\\x_2=2-2.45=-0.45

The zeros are x1=4.45 and x2=-0.45.

x1 is between 4 and 5.

x2 is between -1 and 0.

7 0
3 years ago
Read 2 more answers
The cost to repair Linda's car is $500, including parts and labor. The cost of parts is $140. If the cost of labor is $40 per ho
Vladimir79 [104]
The answer is 9 hours
3 0
3 years ago
If 0.142857142857......is expressed in the form m/n, then what is the value<br>of (2m + n)?​
frosja888 [35]

Answer:

The value will be: 1,285,713

Step-by-step explanation:

We have the number:

N = 0.142857...

Such that we have 6 decimals after the decimal point that repeat infinitely.

Then let's start by multiplying our number by 1,000,000 (same number of zeros as decimals after the decimal point)

Then we get:

1,000,000*N = 142,857.142857...

Now let's subtract N from both sides:

1,000,000*N - N =  142,857.142857... - 0.142857...

999,999*N = 142,857

Now let's isolate N

N = 142,857/999,999

Here is our number expressed in the form m/n, where:

m = 142,857

n = 999,999

Then the value of (2*m + n) is:

(2*142,857 + 999,999) = 1,285,713

5 0
3 years ago
Why do certificates of deposit tend to offer better interest rates than money market accounts?
victus00 [196]

Answer:

b

Step-by-step explanation:

Certificates of deposit are only available to the bank's most proven and valuable customers, so the bank can afford to give a greater interest rate on them.

6 0
3 years ago
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