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forsale [732]
3 years ago
10

Lynn is a single mother with two children's . She qualifies to file as head of household her total income was $27267 last year h

ow much will Lynn owe taxes

Mathematics
1 answer:
storchak [24]3 years ago
7 0

Answer:

$3,078.04

Step-by-step explanation:

-Given her income is $27,267, she falls under the 10% and 12% brackets with the following boundaries as attached.

-Her tax is then calculated as;

#10% bracket;

Tax=Taxable \ Income \times Tax \ Rate\\\\=9700\times 10\%\\\\\\=\$970.00

#12% Tax bracket:

Tax=Taxable \ Income \times Tax \ Rate\\\\=(27267-9700)\times 12\%\\\\\\=\$2108.04

The total tax=970+2108.04=$3,078.04

Hence, Lynn owes $3,078.04 in taxes.

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Y=2x+4 its in the y=mx+b
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3 years ago
In 2018, there were about 32 million teenagers (aged 13–17) in the United States. They each sent an average of 1200 text message
Alja [10]

Answer:3.84x10^10

Step-by-step explanation:

32,000,000 teenagers

1200 text messages per month

32,000,000 * 1,200= 38,400,000,000----(scientific notation)-----> 3.84x10^10

3 0
3 years ago
4(x + 3) = 6-x what is the answer I need help please
Amanda [17]
4(x + 3) = 6 - x

First, expand to remove parentheses.
4x + 12 = 6 - x
Second, subtract '6' from both sides.
4x + 12 - 6 = -x
Third, subtract '12 - 6' to get 6.
4x + 6 = -x
Fourth, subtract '4x' from both sides.
6 = -x - 4x
Fifth, since 'x' can be referred to as '1', add it to '4x' to get '-5x'.
6 = -5x
Sixth, divide both sides by '-5'.
\frac{6}{-5} =x
Seventh, change the whole fraction into a negative.
-\frac{6}{5} =x
Eighth, switch your sides.
x =  -\frac{6}{5}

Answer as fraction: -\frac{6}{5}
Answer as decimal: -1.2

4 0
3 years ago
Let y in the form of a + ib, where a and b are real numbers, be the cubic roots of a complex number z 20, where z =2 4+i3. Find
GalinKa [24]

The possible values of a + b are 0.89, 3.01 and -3.9

<h3>How to determine the value of a + b?</h3>

The given parameters are:

y = a + ib

z = 24 + i3

Where:

y = ∛z

Take the cube of both sides

y³ = z

Substitute the values for y and z

(a + ib)³ = 24 + i3

Expand

a³ + 3a²(ib) + 3a(ib)² + (ib)³ = 24 + i3

Further, expand

a³ + i3a²b + i²3ab² + i³b³ = 24 + i3

In complex numbers;

i² = -1 and i³= -i

So, we have:

a³ + i3a²b + (-1)3ab² -ib³ = 24 + i3

Further expand

a³ + i3a²b - 3ab² - ib³ = 24 + i3

By comparing both sides of the equation, we have:

a³ - 3ab² = 24

i3a²b - ib³ = i3

Divide through by i

3a²b - b³ = 3

So, we have:

a³ - 3ab² = 24

3a²b - b³ = 3

Using a graphing tool, we have:

(a,b) = (-1.55, 2.44), (2.89,0.12) and (-1.34,-2.56)

Add these values

a + b = 0.89, 3.01 and -3.9

Hence, the possible values of a + b are 0.89, 3.01 and -3.9

Read more about complex numbers at:

brainly.com/question/10662770

#SPJ1

6 0
2 years ago
How many gallons are equal to 27.3 hectoliters?​
Mandarinka [93]

Answer:

721.19 gallons

Step-by-step explanation:

6 0
3 years ago
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