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1 year ago

Solve: 3.2/s = 0.4/8 640 64 6.4 0.16

Mathematics

2 answers:

Harrizon [31]1 year ago

3 0

Answer:6

Step-by-step explanation:

balandron [24]1 year ago

3 0

Step-by-step explanation:

$\frac{3.2}{s} = \frac{0.4}{8}$

cross multiply ✖

$3.2 \times 8 = 0.4s$

$0.4s = 25.6$

$s = 64$

$s = \frac{25.6}{0.4}$

Hope it will help you.

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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

1 year ago

Clay and Clod thought of the same number. Clay divided the number by 7 to that number and added 14 to the result. He got 23. Clo

Nesterboy [21]

Clod would get 11, because the number they both thought of was 63

5 0

1 year ago

Let f(x)=4x-1 and g(x)=2x^2+3. Perform each function operations and then find the domain.

Triss [41]

F(x) = 4x - 1
g(x) = 2x² + 3

1. (f + g)(x) = (4x - 1) + (2x² + 3)
(f + g)(x) = 2x² + 4x + (-1 + 3)
(f + g)(x) = 2x² + 4x + 2
Domain: {x| -∞ < x < ∞}, (-∞, ∞)

2. (f - g)(x) = (4x + 1) - (2x² + 3)
 (f - g)(x) = 4x + 1 - 2x² - 3
(f - g)(x) = -2x² + 4x + 1 - 3
(f - g)(x) = -2x² + 4x - 2
Domain: {x|-∞ < x < ∞}, (-∞, ∞)
3. (g - f)(x) = (2x² + 3) - (4x - 1)
(g - f)(x) = 2x² + 3 - 4x + 1
(g - f)(x) = 2x² - 4x + 3 + 1
(g - f)(x) = 2x² - 4x + 4
Domain: {x| -∞ < x < ∞}, (-∞, ∞)

4. (f · g)(x) = (4x + 1)(2x² + 3)
(f · g)(x) = 4x(2x² + 3) + 1(2x² + 3)
(f · g)(x) = 4x(2x²) + 4x(3) + 1(2x²) + 1(3)
(f · g)(x) = 8x³ + 12x + 2x² + 3
(f · g)(x) = 8x³ + 2x² + 12x + 3
Domain: {x| -∞ < x < ∞}, (-∞, ∞)

5. $(\frac{f}{g})(x) = \frac{4x - 1}{2x^{2} + 3}$
Domain: 2x² + 3 ≠ 0
- 3 - 3
2x² ≠ 0
2 2
 x² ≠ 0
x ≠ 0
(-∞, 0) ∨ (0, ∞)

6. $(\frac{g}{f})(x) = \frac{2x^{2} + 3}{4x - 1}$
Domain: 4x - 1 ≠ 0
+ 1 + 1
4x ≠ 0
4 4
x ≠ 0
 (-∞, 0) ∨ (0, ∞)

6 0

2 years ago

Winston earns $140.00 by selling 56 hot dogs at the concession stand at school. Using the same rate for

Free_Kalibri [48]

Answer:

140/56= 2,5$ every hot dog

175/2,5=70 hot dogs

70-56=14 more hot dogs to earn 175$

Step-by-step explanation:

7 0

1 year ago

Three years ago Tom was twice as old as Jean, and in two years the sum of their ages will be 28 years. Find their present ages.

lubasha [3.4K]

Answer:

Jean is 9 and Tom is 15.

Step-by-step explanation:

3 years ago, Tom was 12 and Jean was 6, hence Tom was twice as old as Jean.

Since that was their age 3 years ago, they are currently 15 (Tom) and 9 (Jean).

Add 2 years to each of these ages, you get 17 and 11.

17 + 11 = 28

3 0

2 years ago

Read 2 more answers