What is the value of x? Enter your answer in the box.

You decide to work part-time at a local veterinary hospital. The job pays $9.50 per hour and you work 20 hours per week. Your em

nadezda [96]

Answer:

a. Weekly Gross pay:

= 9.50 * 20

= $190

b. Federal tax withheld:

= 10% * 190

= $19

c. FICA Tax withheld:

= 5.65% * 190

= $10.74

d. State tax withheld:

= 5% * 190

= $9.50

e. Weekly net pay

= Gross pay - taxes

= 190 - 19 - 10.74 - 9.50

= $150.76

f. Percentage withheld for taxes:

= (19 + 10.74 + 9.50) / 190 * 100%

= 20.7%

8 0

3 years ago

Two trains leave the station at the same time, one heading east and the other west. The eastbound train travels 16 miles per hou

Verizon [17]

We'll use variables to represent the speeds of the eastbound and westbound trains.

x will represent the speed of the eastbound train.
y will represent the speed of the westbound train.

The eastbound train is 16 mph faster than the westbound train. An equation can be made from this:

$x - y = 16$

Subtraction is used, because it represents the difference in distances between the two trains if they travel the same direction.

After 4 hours, the trains are 800 miles apart. An equation can be made from this:

$4x + 4y = 800$

Addition is used, because the trains are heading in opposite directions, which means their distances from the starting point are added together.

Set the two equations up vertically:

$x - y = 16$
$4x + 4y = 800$

We will use elimination to solve for x.

Multiply the entire first equation by 4 so that the coefficients for y will be opposite numbers:

$(x - y = 16) \times 4 = 4x - 4y = 64$

$4x - 4y = 64$
$4x + 4y = 800$

Combine the two equations together to cancel out y:

$8x = 864$

Divide both sides by 8 to get x by itself:

$x = 108$

The speed of the eastbound train is 108 mph.

5 0

3 years ago

Sophia has an ear infection. The doctor prescribes a course of antibiotics. Sophia is told to take 500 mg doses of the antibioti

ser-zykov [4K]

Answer:

Step-by-step explanation:

Part 1:

Let

Q₁ = Amount of the drug in the body after the first dose.

Q₂ = 250 mg

As we know that after 12 hours about 4% of the drug is still present in the body.

For Q₂,

we get:

Q₂ = 4% of Q₁ + 250

= (0.04 × 250) + 250

= 10 + 250

= 260 mg

Therefore, after the second dose, 260 mg of the drug is present in the body.

Now, for Q₃ :

We get;

Q₃ = 4% of Q2 + 250

= 0.04 × 260 + 250

= 10.4 + 250

= 260.4

For Q₄,

We get;

Q₄ = 4% of Q₃ + 250

= 0.04 × 260.4 + 250

= 10.416 + 250

= 260.416

Part 2:

To find out how large that amount is, we have to find Q₄₀.

Using the similar pattern

for Q₄₀,

We get;

Q₄₀ = 250 + 250 × (0.04)¹ + 250 × (0.04)² + 250 × (0.04)³⁹

Taking 250 as common;

Q₄₀ = 250 (1 + 0.04 + 0.042 + ⋯ + 0.0439)

= 2501 − 0.04401 − 0.04

Q₄₀ = 260.4167

Hence, The greatest amount of antibiotics in Susan’s body is 260.4167 mg.

Part 3:

From the previous 2 components of the matter, we all know that the best quantity of the antibiotic in Susan's body is regarding 260.4167 mg and it'll occur right once she has taken the last dose. However, we have a tendency to see that already once the fourth dose she had 260.416 mg of the drug in her system, that is simply insignificantly smaller. thus we will say that beginning on the second day of treatment, double every day there'll be regarding 260.416 mg of the antibiotic in her body. Over the course of the subsequent twelve hours {the quantity|the quantity|the number} of the drug can decrease to 4% of the most amount, that is 10.4166 mg. Then the cycle can repeat.

3 0

3 years ago

Determine the rate of change for the graph from 2010 to 2012

mash [69]

Answer:

B)-20 students per year

8 0

3 years ago

1/2 (y-3)= 1/2 + (x-3) Rapidoo

netineya [11]

Because there are two variables in this equation, you cannot solve for answers. However, I'll assume that you want to get this into slope intercept form as that is the most common way to graph these. The answer in that case is y = 2x - 2

1/2 (y-3)= 1/2 + (x-3) ---> Start by multiplying both sides by 2
(y - 3) = 1 + 2x - 6 ---> now add 3 to each side
y = 3 + 1 + 2x - 6 ----> now simplify like terms.
y = 2x - 2

7 0

3 years ago