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4 years ago

Over But not over The tax is

Mathematics

1 answer:

Zigmanuir [339]4 years ago

5 0

There are different slab rates for income tax given.

We are to calculate the tax for Mary Hernandez. Her income is 43000 dollars.

Hence she comes in the slab of 31850-77100

1) Earned income = 43000 dollars

2) Base amount = 4386 (refer slab amount)

3) The amount over base amount = 43000-31850 = 11150 dollars.

4) Multiplied by 25% = 25(11150)/100 = 2787.50

5) Added lines 2 and 4 = 4386+2787.50 = 7173.50

Hence tax amount due by Mary Hernandez = 7173.50 $

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o-na [289]

Answer:

Step-by-step explanation:

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4 years ago

Use the following number line to determine if the expressions are true or false.

Usimov [2.4K]

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3 years ago

Find a nonzero vector orthogonal to the plane through the points: ????=(0,0,1), ????=(−2,3,4), ????=(−2,2,0).

ser-zykov [4K]

Answer:

The nonzero vector orthogonal to the plane is <-9,-8,2>.

Step-by-step explanation:

Consider the given points are P=(0,0,1), Q=(−2,3,4), R=(−2,2,0).

$\overrightarrow {PQ}==$

$\overrightarrow {PR}==$

The nonzero vector orthogonal to the plane through the points P,Q, and R is

$\overrightarrow n=\overrightarrow {PQ}\times \overrightarrow {PR}$

$\overrightarrow n=\det \begin{pmatrix}i&j&k\\ \:\:\:\:\:-2&3&3\\ \:\:\:\:\:-2&2&-1\end{pmatrix}$

Expand along row 1.

$\overrightarrow n=i\det \begin{pmatrix}3&3\\ 2&-1\end{pmatrix}-j\det \begin{pmatrix}-2&3\\ -2&-1\end{pmatrix}+k\det \begin{pmatrix}-2&3\\ -2&2\end{pmatrix}$

$\overrightarrow n=i(-9)-j(8)+k(2)$

$\overrightarrow n=-9i-8j+2k$

$\overrightarrow n=$

Therefore, the nonzero vector orthogonal to the plane is <-9,-8,2>.

8 0

4 years ago

Which exponential equation is equation is equivalent to the logarithmic equation below? Log 200 = a

weqwewe [10]

Answer:

Which exponential equation is equation is equivalent to the logarithmic equation below? Log 200 = a

A) 200^10=a

B)a^10=200

C)200^a=10

D)a0^a=200

D) 10^a = 200 is the answer

Hope This Helps! Have A Nice Day!!

4 0

3 years ago

Read 2 more answers

There are 6 red marbles 4 blue marbles to yellow marbles. Sabrina picks 2 marbles without putting the first one back what is the

Yanka [14]

Answer:

P = 3/11

Step-by-step explanation:

There are:

6 red marbles

4 blue marbles

2 yellow marbles.

So there are a total of 12 marbles in the bag, such that each one has the same probability of being randomly picked.

We want to find the probability that the first pick is not yellow (so it can be either blue or red), and the second pick is a blue marble.

Now there are two cases.

The first marble is red and the second blue

the first marble is blue and the second blue

We need to find the probability in each case.

The probability that the first marble is red is equal to the quotient between the number of red marbles (6) and the total number of marbles (12)

p = 6/12

Now, for the second draw, we need a blue marble, the probability in this case is the quotient between the number of blue marbles (4) and the total number of marbles in the bag (now there are 11, because one is already taken)

q = 4/11

The joint probability is equal to the product of the individual probabilities, then:

P₁ = p*q = (6/12)*(4/11) = 2/11

And for the other case, we draw two blue marbles:

For the first draw, the probability is:

p = 4/12

And for the second draw, now there are 3 blue marbles and 11 total marbles, then the probability is:

q = 3/11

The joint probability is:

P₂ = (4/12)*(3/11) = 1/11

The total probability is then:

P = P₁ + P₂ = 2/11 + 1/11 = 3/11

4 0

4 years ago