The population of a city can be modeled with a linear equation, y = –80x + 3,450, where x is the number of years after 2000 and y is the city’s population. Write a description of the city’s population based on the equation.

Eduardo's pre-tax income is calculated as: $69,216.

To find Eduardo's pre-tax income, we need to first calculate how much he contributes to his 401(k) plan.

We know that he contributes 16% of his $82,400 annual salary, so:

16% of $82,400 = 0.16 * $82,400

= $13,184

This means that Eduardo contributes $13,184 to his 401(k) plan each year. To find his pre-tax income, we need to subtract this amount from his annual salary:

$82,400 - $13,184 = $69,216

Therefore, Eduardo's pre-tax income is $69,216.

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Final answer:

Eduardo's pre-tax income is his annual salary of $82,400. His 401(k) contribution is 16% of this amount, but it does not reduce his pre-tax income.

Explanation:

Eduardo’s pre-tax income is the total amount he earns before any deductions such as his 401(k) contributions. Since he contributes 16% of his $82,400 annual salary to his 401(k) plan, we calculate the contribution amount and then affirm that it is part of his pre-tax income, which is the full $82,400. To find the contribution amount, we use the formula:

Contribution = (Percentage / 100) × Salary

Contribution = (16 / 100) × $82,400

Contribution = 0.16 × $82,400

Contribution = $13,184

Hence, Eduardo’s pre-tax income remains $82,400 for the year, not the amount after the contribution is subtracted.

The answer is B

We are going from figure X to figure X', it is rotating more than 90 degrees so it must be 270, and it is rotating to the right so it is clockwise

Why hello there

Your answer will be B

In th epicture we can see that Figure X moved clockwise in a 270 degree angle.

If my answer helped please mark me as brainliest and have the best day ever!

To maintain the ratio of 3:2 for yellow to blue paint, if Jack uses 18 pints of yellow paint, he needs to use 12 pints of blue paint.

In this problem, Jack is using a ratio of 3 pints of yellow paint for every 2 pints of blue paint. This ratio simplifies to 3:2. If he uses 18 pints of yellow paint, we can set up a simple proportion to find out how much blue paint he should use.

Yellow : Blue = 3 : 2 = 18 : x. To solve for x, we cross-multiply: 3*x = 2*18. Which leads us to 3x = 36, and dividing both sides by 3 gives x = 12. Therefore, Jack should use 12 pints of blue paint.

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Answer:

1/2

Step-by-step explanation:

The angle 5pi/3 shows up in the 3rd quadrant and is equivalent to the angle 300 degrees.  The "reference angle" of 300 degrees is 60 degrees; the reference angle in this case has the same trig function values as does 300 degrees.  Thus, the cosine of 5pi/3 is the same as the cosine of 60 degrees, which is 1/2.

Using equivalent angles, it is found that:

[tex]\cos{\left(\frac{5\pi}{3}\right)} = \frac{1}{2}[/tex]

[tex]\frac{5\pi}{3}[/tex] is an angle in the fourth quadrant, as [tex]\frac{2\pi}{3} \leq \frac{5\pi}{3} \leq 2\pi[/tex].

To find the equivalent in the first quadrant to an angle in the fourth quadrant, we subtract [tex]2\pi[/tex] from the angle, then:

[tex]2\pi - \frac{5\pi}{3} = \frac{6\pi}{3} - \frac{5\pi}{3} = \frac{\pi}{3}[/tex]

Just as in the first quadrant, the cosine is positive in the fourth quadrant, thus, applying the equivalent angle:

[tex]\cos{\left(\frac{5\pi}{3}\right)} = \cos{\left(\frac{\pi}{3}\right)} = \frac{1}{2}[/tex]

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s=6 t=5. (4s+t)

4(6)+5

24+5

29

Answer:

It is Milk

Step-by-step explanation:

The liquid in the bottle has mass given in grams and the mass of that substance is 117 grams.

The volume of the substance is 15 cubic centimeters.

Now, using the formula of density we can estimate which substance could it be.

[tex]d=\frac{m}{v}[/tex], where 'd', is the density, 'm' is the mass, and 'v' is the volume of the substance.

Plugging the value of mass and volume we get:

[tex]d=\frac{117}{15} =7.8g/cm^3[/tex]

So the density of the substance is 7.8 grams per cubic centimeter.

It cannot be water since the density of water is 1 grams per cubic centimeter.

It cannot be gasoline because its density is 0.77 grams per cubic centimeter.

It cannot be mercury because the density of mercury is 13.56 grams per cubic centimeter.

Since, the density in this case matches the density of thick milk and hence,therefore, the liquid in the bottle is milk.

1/2 inch = 0.5 inches

The circumference of a circle is equal to: π * diameter.

0.5 * 3.14 = 1.57 inches

Hello there!

[tex]V=KT/P[/tex]

Explanation:

↓↓↓↓↓↓↓↓↓↓↓

First you had to switch sides of the equation.

[tex]k\frac{t}{p}=v[/tex]

Then you multiply by p from both sides of the equation.

[tex]k\frac{t}{p}p=VP; P\neq0[/tex]

Simplify

[tex]tk=vp; p\neq0[/tex]

Divide by t from both sides of the equation.

[tex]\frac{tk}{t}=\frac{vp}{t}; P\neq0, T\neq0[/tex]

Simplify it should be the correct answer.

[tex]K=\frac{VP}{T}; P\neq0, T\neq0[/tex]

Answer⇒⇒⇒⇒K=VP/T; P≠0, and T≠0

Hope this helps!

Thank you for posting your question at here on Brainly.

Have a great day!

-Charlie

Answer:

Step-by-step explanation:

First, you will add 2x for both sides.

y - 2x = 3

  +2x       +2x

Then, you will get y = 2x + 3

So the slope will be 2

Answer:

Missing same value is 0.02

Step-by-step explanation:

Instead of multiplying big decimal numbers we put short cut by making 0.98 as a difference of near integer and one decimal.

i.e 0.98 =1-0.02

Since 0.02 is the same for other also other term

0.73 = 0.75-0.02

Now product can be done very easily.

Steps are shown below:

0.98x0.73

= (1-0.02) (0.75-0.02)

= 0.75 -0.02(1+0.75)+0.0004

= 0.7504-(0.035)

= 0.7154

=0.44

Answer:

Doing the assignment got all right answers x + y = –1, x + 4y = 0, 8x – 3y = 20

Step-by-step explanation:

The linear equations written in the standard form are x + y = -1, x + 4y = 0 and 8x – 3y = 20.

Linear equations are equation involving one or more expressions including variables and constants and the variables are having no exponents or the exponent of the variable is 1.

Standard form of a linear equation is, Ax + By = C, where A, B and C are integers.

We have to select all the linear equations which are of the form as given above.

x + y = -1 is in standard form, where A = 1, B = 1 and C = -1

x + 4y = 0 is in standard form, where A = 1, B = 4 and C = 0

8x – 3y = 20 is in standard form, where A = 8, B = -3 and C = 20

Other equations  –3x = y, y = 5x – 2 and x = 3 – 0.1y are not in the standard form.

Hence the equations in the standard form are x + y = -1, x + 4y = 0 and 8x – 3y = 20.

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Final answer:

The annual population growth rate for the raccoons is calculated using the formula which involves subtracting the initial population from the final population, dividing by the initial population, and then multiplying by 100%. The growth rate is approximately 150.26%.

Explanation:

To calculate the annual population growth rate for the raccoons, we use the following formula:

Growth Rate = (Final Population - Initial Population) ÷ Initial Population × 100%

Initial Population = 189 raccoons

Final Population = 473 raccoons

Plugging in the values we get:

Growth Rate = (473 - 189) ÷ 189 × 100%

Growth Rate = 284 ÷ 189 × 100%

Growth Rate ≈ 150.26%

Therefore, the annual population growth rate for the raccoons is approximately 150.26%.

Answer:

y= -23.8

Step-by-step explanation:

I don't know if this is the right answer but you can try

When x is -6, y is approximately -23.8.

The given equation is y = 2 + 4.3x, and you want to find the value of y when x = -6.

Substitute x = -6 into the equation:

y = 2 + 4.3 * (-6)

Now, calculate the value:

y = 2 - 25.8

Simplify:

y = -23.8

When x = -6, the value of y is -23.8.

This means that if you plug in x = -6 into the equation, you will get y = -23.8 as the corresponding y-coordinate on the graph.

This represents a point on the line described by the equation y = 2 + 4.3x when x is -6, y is -23.8.

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Answer:

5

Step-by-step explanation:

took k12 test

Answer: B) 90

Since c is perpendicular to b (given) and line 'a' is parallel to line c (also given), this means line 'a' is perpendicular to line b.

Put another way, angles 5, 6, 7, 8 are all 90 degrees (since c is perpendicular to b). If a || c, then angles 2 and 6 are corresponding angles that are congruent.

So this is why angle 2 is also 90 degrees.

*(Respuesta)* = [tex]\frac{8}{12}[/tex]

* (Explicación) * = El motivo por el que necesita agregar [tex]\frac{5}{12}[/tex] a [tex]\frac{3}{12}[/tex].

Espero que esto ayude

Persona que respondió: BangtanBoyScouts

Hi,

Here is the solution.

3 years = 36 months

Leased amount for 3 years = $3000 + 36*350

= $3000 + $12600

Leased amount for 3 years = $15600

Residual value = $12000

Assume you didn't buy the car, you took it for lease, so your expense = $15600.

Now Assume you bought the car for $21,000.

After using 3 years, you can sell it for $12000.

Your expense = $21,000 - $12,000 = $9000.

Conclusion:

It is less expensive to buy the car.

The cost for buying the car and selling it after 3 years = $9000.

Hope you will understand the steps. Thank you :)

Let's say the cost to feed each horse is $5.00.

The expression would be written as:

(5.00)h or simplified as 5h

This is because you are multiplying the cost for feeding each horse by the amount of horses, represented as h.

If you are feeding 6 horses you would substitute the h for 6 giving you the expression:

5(6)

which equals $30 total.

Hope this helps and have a nice day! :)

Same side.  Locate -3.9 on the number line.  Then -0.99 is to the right of -3.9, with both numbers being on the same side (that is, on the left side) of zero.

Same side, think of it as a number line. there is a left side for negitives, and a right for positives. Every negitive number is on the same side, while the positives have their own side too. Only if it was a positive with a negitive it would be on opposite sides.

Hello there. And welcome to brainly.

The answer to this question is ≈7.69%

Hope this helped! And have a great day. ♥~

To find the percent of change, subtract to find the amount of change

387 - 207 = 180. The increase is 207.

Then divide the amount of change by the original amount

207 ÷ 180 = 1.15

Change the decimal to a percent, and multiply the number by 100:

1.15 X 100 = 115

The answer is 115%

Answer:

There is no solution

answer: the first graph

explanation:

it would not be the second one because it is a slope (y = mx + b) and so would be the third choice.

i don't think it would be the last one because it's going only up to 40. which the equation say only y = 1/x and it's not a big number equation.

hope this helps! ❤  from peachimin

i attached this image which is sorta similar to the the to this equation:

Let us calculate the area of the walk.

Since the width of the walk is 3 feet, and the walk will be placed all the 4 sides,

Length of the plot including walk = 20 + (2 × 3) = 20 + 6 = 26 feet.

Breadth of the plot including walk = 30 + (2 × 3) = 36 feet.

Area of the plot including walk = 26 × 36 square feet.

Area of the plot = 20 × 30 square feet.

Area of the walk = (26 × 36) - (20 × 30)

= 936 - 600

= 336 square feet.

= [tex]\frac{336}{3(3)}[/tex] square yards

= 37.3 square yards

Cost of the walk per square yard = $12.25.

Therefore, total cost of the walk = 12.25 × 37.3 = $456.92.

Answer:

7 m3

Step-by-step explanation:

got it right on edgen

Answer:  Charlie's down payment to purchase home is $30,000.

Step-by-step explanation:

Given that :- Charlie purchased a home for price = $300,000

Mortage company requires a down payment of =10% of price of home

Therefore, Charlie's down payment = 10% of price for home

⇒Charlie's down payment =10% of  $300,000

⇒Charlie's down payment =0.1 × $300,000

⇒Charlie's down payment =$30,000.

Thus, Charlie's down payment to purchase home is $30,000.

Answer:

Alternate exterior angles

======================================================

Step-by-step explanation:

The parallel lines are like the metal parts of a train track, so I'll just refer to these lines as "train tracks" from now on. Note how x and y are on the outside or exterior of the train tracks. At the same time, they are on opposite or alternate sides of the transversal line.

Since x and y are on the alternate sides of the tranversal line, and they are on the exterior of the train tracks, we have alternate exterior angles

Answer:

y = (x - 2)^2 + 1

Step-by-step explanation:

The general equation of a parabola in vertex form is y-k = (x-h)^2.  Here, we can see immediately from the graph that the vertex is at (2, 1).  Thus, the equation of this particular parabola takes the form y - 1 = a(x - 2)^2.  We must still determine the value of a.  Note that the graph goes through (0, 5).  Thus, 5 - 1 = a(0 - 2)^2, or

4 = 4a.  Thus, a = 1, and the equation of this parabola is y - 1 = (x - 2)^2, or, after simplification, y = (x - 2)^2 + 1.