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3 years ago

Calculate the state income tax owned on a 40,000 per year salary

Mathematics

1 answer:

kenny6666 [7]3 years ago

8 0

Answer:

The state income tax to be paid will be $ 2,300.

Step-by-step explanation:

Given that an annual salary of $ 40,000 pays a state income tax of 5.75% of said value, to determine the total amount of tax to be paid, the following calculation must be made:

40,000 x 5.75 / 100 = X

230,000 / 100 = X

2,300 = X

Therefore, the state income tax to be paid will be $ 2,300.

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Divide -3x^3-2x^2-x-2 by x-2

Rasek [7]

Let's do this by Briot-Ruffini

First: Find the monomial root

x - 2 = 0

x = 2

Second: Allign this root with all the other coeficients from equation

Equation = -3x³ - 2x² - x - 2

Coeficients = -3, -2, -1, -2

2 | -3 -2 -1 -2

Copy the first coeficient

2 | -3 -2 -1 -2

-3

Multiply him by the root and sum with the next coeficient

2.(-3) = -6

-6 + (-2) = -8

2 | -3 -2 -1 -2

-3 -8

Do the same

2.(-8) = -16

-16 + (-1) = -17

2 | -3 -2 -1 -2

-3 -8 -17

The same,

2.(-17) = -34

-34 + (-2) = -36

2 | -3 -2 -1 -2

-3 -8 -17 -36

Now you just need to put the "x" after all these numbers with one exponent less, see

2 | -3x³ - 2x² - 1x - 2

-3x² - 8x - 17 -36

You may be asking what exponent -36 should be, and I say:

None or the monomial. He's like the rest of this division, so you can say:

(-3x³ - 2x² - x - 2)/(x - 2) = -3x² - 8x - 17 with rest -36 or you can say:

(-3x³ - 2x² - x - 2)/(x - 2) = -3x² - 8x - 17 - 36/(x - 2)

Just divide the rest by the monomial.

5 0

3 years ago

Graciela was trying to solve the quadratic equation x2+2.5x−1.5=0 "I think I need to use the Quadratic Formula because of the de

drek231 [11]

Answer:

The answer to your question is x² + 5/2x - 3/2 = 0

Step-by-step explanation:

Data

Quadratic equation x² + 2.5x - 1.5 = 0

Process

1.- Convert the decimals into fractions

2.5 = 25/10 = 5/2

1.5 = 15/10 = 3/2

2.- Substitution

x² + 5/2x - 3/2 = 0

3.- Conclusion

I rewrite the equation, now it is expressed in fractions. It could be solve by factoring.

7 0

3 years ago

LaTonda rolls two number cubes that are each numbered 1 through 6. What is the probability that the sum of the numbers on the to

ZanzabumX [31]

Answer:

1/4

Step-by-step explanation:

The maximum sum of the two cubes is 6 + 6 = 12

The multiples of 4 until 12 are: 4, 8 and 12.

each cube has 6 possible values, so two cubes have a total of 6 * 6 = 36 possible results

We can have a sum of 4 with the pairs (1,3), (2,2), (3,1).

We can have a sum of 8 with the pairs (2,6), (3,5), (4,4), (5,3), (6,2)

We can have a sum of 12 with the pair (6,6)

So we have a total of 9 pairs that satisfy our condition over a total of 36 possibilities, so the probability is 9 / 36 = 1/4

8 0

3 years ago

Find the general solution of the differential equation and check the result by differentiation. (Use C for the constant of integ

atroni [7]

Answer: $y=Ce^(^3^t^{^9}^)$

Step-by-step explanation:

Beginning with the first differential equation:

$\frac{dy}{dt} =27t^8y$

This differential equation is denoted as a separable differential equation due to us having the ability to separate the variables. Divide both sides by 'y' to get:

$\frac{1}{y} \frac{dy}{dt} =27t^8$

Multiply both sides by 'dt' to get:

$\frac{1}{y}dy =27t^8dt$

Integrate both sides. Both sides will produce an integration constant, but I will merge them together into a single integration constant on the right side:

$\int\limits {\frac{1}{y} } \, dy=\int\limits {27t^8} \, dt$

$ln(y)=27(\frac{1}{9} t^9)+C$

$ln(y)=3t^9+C$

We want to cancel the natural log in order to isolate our function 'y'. We can do this by using 'e' since it is the inverse of the natural log:

$e^l^n^(^y^)=e^(^3^t^{^9} ^+^C^)$

$y=e^(^3^t^{^9} ^+^C^)$

We can take out the 'C' of the exponential using a rule of exponents. Addition in an exponent can be broken up into a product of their bases:

$y=e^(^3^t^{^9}^)e^C$

The term e^C is just another constant, so with impunity, I can absorb everything into a single constant:

$y=Ce^(^3^t^{^9}^)$

To check the answer by differentiation, you require the chain rule. Differentiating an exponential gives back the exponential, but you must multiply by the derivative of the inside. We get:

$\frac{d}{dx} (y)=\frac{d}{dx}(Ce^(^3^t^{^9}^))$

$\frac{dy}{dx} =(Ce^(^3^t^{^9}^))*\frac{d}{dx}(3t^9)$

$\frac{dy}{dx} =(Ce^(^3^t^{^9}^))*27t^8$

Now check if the derivative equals the right side of the original differential equation:

$(Ce^(^3^t^{^9}^))*27t^8=27t^8*y(t)$

$Ce^(^3^t^{^9}^)*27t^8=27t^8*Ce^(^3^t^{^9}^)$

QED

I unfortunately do not have enough room for your second question. It is the exact same type of differential equation as the one solved above. The only difference is the fractional exponent, which would make the problem slightly more involved. If you ask your second question again on a different problem, I'd be glad to help you solve it.

7 0

2 years ago

Car A travels 6 miles in 8 minutes at a constant speed. if this car continues to travel at this rate, how many minutes would it

ivanzaharov [21]

Answer:

I'm guessing 12 not sure why just guessing

4 0

3 years ago