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Mathematics

1 answer:

8090 [49]3 years ago

3 0

0.5477225575 ... u have to change this in scientific notation

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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

storchak [24]

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.

7 0

3 years ago

what is perpendicular to y= 3x -9 and passes through the point (3,1)

GREYUIT [131]

$(3,1) , \ \ y= 3x -9 \\ \\ The \ slope \ is :m _{1} =3 \\ \\ If \ m_{1} \ and \ m _{2} \ are \ the \ gradients \ of \ two \ perpendicular \\ \\ lines \ we \ have \ m _{1} \cdot m _{2} = -1 \\ \\3\cdot m_{2}=-1 \ \ /:3\\ \\ m_{2}=-\frac{1}{3}$

$\Now \ your \ equation \ of \ line \ passing \ through \ (3,1) would \ be: \\ \\ y=m_{2}x+b \\ \\1=-\frac{1}{ 3} \cdot3 + b$

$1=-1+b\\ \\ b=1+1\\ \\b=2 \\ \\ y =- \frac{1}{3}x+2$

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3 years ago

Using the distance formula, calculate how far Tre threw the ball. (4 points: 2 points for setup, 1 for calculation, 1 for the an

sergij07 [2.7K]

Answer:

$D = 63.717$