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3 years ago

Help me with this please

Mathematics

1 answer:

Mkey [24]3 years ago

8 0

Answer:

a. 320

b. 210

c. 1200

Step-by-step explanation:

We multiply 47 x 38 using place values.

First ones, 8 x 7 =56.

Second ones and tens, 8 x 40 = 320.

Third tens and ones, 30 x 7 = 210.

Fourth tens and tens, 30 x 40 = 1200

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3 years ago

Susan, a recent college graduate, makes a base salary of $70,000 per year. Susan has federal income tax withholding of $12,000,

Damm [24]

Answer:

Susan's take-home pay $48,645.

Step-by-step explanation:

Given:

Susan, a recent college graduate, makes a base salary of $70,000 per year. Susan has federal income tax withholding of $12,000, and state tax withholding of $4,000. Employers are required to withhold a 6.2% Social Security tax and a 1.45% Medicare tax.

Now, to find Susan's take-home pay.

Basic salary = $70,000.

Now, her tax withholdings:

Federal income tax = $12,000.

State tax = $4,000.

Social security tax = 6.2% of $70,000.

$=\frac{6.2}{100} \times 70,000\\\\=0.062\times 70,000\\\\=\$4340.$

Medicare tax = 1.45% of $70,000.

$=\frac{1.45}{100} \times 70000\\\\=0.0145\times 70000\\\\=\$1015.$

Now, to get the take-home pay of Susan's we subtract all the tax holdings of federal, state, social and medicare from the basic salary:

$70,000-(12,000+4,000+4340+1015)$

$=70,000-(21,355)$

$=70,000-21,355$

$=\$48,645.$

Therefore, Susan's take-home pay $48,645.

7 0

3 years ago

Find the value of each variable

Inessa [10]

Answer:

x = 7

y = 7√3

Step-by-step explanation:

Formulas : -

sin θ = opposite side / hypotenuse

When θ = 60,

Opposite side = y

Hypotenuse = 14

sin 60 = y / 14

√3 / 2 = y / 14

y = √3 x 14 / 2

= √3 x 7

y = 7√3

When θ = 30,

Opposite side = x

Hypotenuse = 14

sin 30 = x / 14

1 / 2 = y / 14

x = 1 x 14 / 2

= 1 x 7

x = 7

Note : -

The value of,

sin 30 = 1 / 2

cos 60 = 7√3

4 0

2 years ago