The assets and liabilities of a 22-year-old recent college graduate are listed below.


Furniture $4,091
Car Loan $6,060
Credit Card Balances $3,940
Savings Account Balance $2,143
Student Loans $29,400
Car Value $21,500
Equipment $4,805


The college graduate is hired at a law firm with a $10,000 signing bonus, that will be deposited into the savings account. The firm also agrees to immediately pay off $25,000 in student loan debt. What is the college graduate's new net worth?
$11,309
$14,400
$23,643
$28,139

Answer:

a

Step-by-step explanation:

a measuring tape is more precise than measuring by whatever the second method is.

The inequality that represents p, the number of people the theater can seat is p ≤ 25

From the question, we have the following parameters that can be used in our computation:

A movie theater can seat a maximum of 25 people

This means that

Maximum =  25 people

In other words, the movie theatre can allow 25 or less people to attend a movie

In inequality, 25 or less means less than or equal to 25

When represented as an inequality expression, we have

≤ 25

Using the variable p, we have

p ≤ 25

Hence, the inequality is p ≤ 25

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Answer:

Point d

Step-by-step explanation:

because the x is -2 and the y is 3 so you look for the x and then the y

Answer:

please add screenshots of the question and/or illustrations

Answer:

144

Step-by-step explanation:

48 ÷ 4 (which is how many sides a square has) is 12

So 12x12 because l×w (length and width) and all sides of a square are equal

So the answer would be 144

The perimeter of a square is 48 inches. What is the area, in square inches, of the square?

The perimeter of a square is 48 inches.

= 48 inches ÷ 4

= 12 inches

= (12 inches)^2

= (12×12) square inches

= 132 square inches

The area of the square is 132 square inches.

Answer:

2100 miles

Step-by-step explanation:

Remark

357 is on one side of the equation all by itself. It represents 17% of the total distance. The 17% is on the other side of the equation.

Equation

17%  * x = 357                Change the 17% to 17 / 100

17/100 * x = 357            Multiply both sides by 100

Solution

17x = 357 * 100

17x = 35700                  Divide by 17

x = 35700 / 17

x = 2100 miles.

The statement "Once we give up the full Comprehension Schema, Russell's Paradox is no longer a threat" implies that by leaving out the unrestricted version of the Schema of Comprehension (which gives room for the construction of sets based on any property), one can be able to avoid meeting up Russell's Paradox.

Russell discovered the contradiction that arises when analyzing the collection of sets that lack themselves as components. A contradiction arises due to the paradoxical situation of attempting to ascertain if the set includes itself or not.

By adopting the Subset Schema, which limits the creation of sets based on certain criteria, we can steer clear of the paradox and depart from the comprehensive Comprehension Schema.

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Answer:

Domain: 0, 1, 2, 3, 4,

Range: 1, 2, 3, 4, 5,

Step-by-step explanation:

Based on the graph the domain of the function is 0, 1, 2, 3, 4, and the range is 1, 2, 3, 4, 5,  therefore, the answer is:

Answer:

1. ASA

2.SSS

3. AAS

4. HL

5. it cannot be proven congruent (not satisfy any criteria)

6. ASA (the top angle of each triangle are congruent)

7. SAS

8. SSS

9. HL

10. AAS

11. it cannot be proven congruent (not satisfy any criteria)

12. SAS or AAS or ASA (the three angles of each triangle are congruent)

Step-by-step explanation:

In the picture attached, the triangles are shown. The criteria are:

SSS: side side side

SAS: side angle side

ASA:  angle side angle

AAS: angle angle side

HL: hypotenuse-leg (only valid for right triangles)

Answer:

Based on the provided information, the table summarizes service times (in seconds) of dinners at a fast food restaurant. To determine the number of individuals included in the summary, we can sum up the frequencies listed in the table:

7 + 24 + 14 + 1 + 4 = 50

Therefore, there are 50 individuals included in the summary.

Regarding the exact values of all the original service times, it is not possible to determine them precisely based on the given information. The table only provides ranges of service times and their corresponding frequencies. We can determine the range within which each individual's service time falls, but we cannot determine the exact value within that range.

Answer:

\(y=-\frac{2}{3}x+1.\)

Step-by-step explanation:

1. common form of slope-interception form is:

y=(slope)*x-interception;

Then

\(2. \ y=-\frac{2}{3} x+interception;\)

3. in order to calculate the 'interception' is it needed to substitute the given coordinates into this non-completed equation:

\(5=-\frac{2}{3} *(-6)+interception; \\interception=1;\)

4. finally, the required equation is:

\(y=-\frac{2}{3} x+1.\)

The expression can be written as \(90,000(3.71)^{\frac{t}{5} }\)

A function whose value is a constant raised to the power of the argument, especially the function where the constant is e.

Given that, we have to express the function \(f(t) = 90,000(1.3)^t\) in the form of \(f(t) = ab^{\frac{t}{5} }\)

Comparing both the functions,

\(b^\frac{t}{5} = (1.3)^t\)

We can write, \((1.3)^t\) as

\((1.3)^t = (1.3^5)^\frac{t}{5}\)

\(= 3.71^\frac{t}{5}\)

Therefore, the equation ca be written as,  \(90,000(3.71)^{\frac{t}{5} }\)

Hence, the expression can be written as \(90,000(3.71)^{\frac{t}{5} }\)

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A mathematics topic that van be looked into is how linear algebra, graph theory and optimization can be used on the airline industry.

In this case, to solve the scheduling issues faced by airlines such as planning flights, assigning planes and crews to routes - mathematical techniques can be employed.

By leveraging Linear Algebra, operators can simulate the flow of aircrafts and passengers while Graph Theory can help model flight schedules and aircraft routes.

Simultaneously using Optimization techniques in the problem-solving process can work to streamline various operations resulting in reduced costs and improved efficiency which can increase profit margins.

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Answer:

  45 minutes

Step-by-step explanation:

At 30 mph for 1/4 hour, Peter has a 7.5 mile head start. After he leaves, Mitchell closes that gap at the rate of 40-30 = 10 miles per hour. It will take him ...

  t = d/s

  t = (7.5 mi)/(10 mi/h) = 0.75 h

to catch Peter.

Mitchell will catch Peter in 45 minutes.

__

Alternate Solution

Another way to look at it is that Mitchell's 10 mph advantage is 1/3 of Peter's speed, so it will take 1/(1/3) = 3 times the period of Peter's head start:

  3 × 15 minutes = 45 minutes . . . for Mitchell to catch Peter

_____

You can write equations involving time and distance and see where the distances traveled become the same. You need to be careful choosing the time reference, since you're concerned with Mitchell's travel time. I personally prefer to work "head start" problems by considering the differences in time and speed, as above. This is where you end up using the equations approach, anyway.

Answer: 7

Step-by-step explanation:

Since there are 42 tubes and each tray can hold 6 tubes, it will be 42/6 which is 7.

Answer:

24

Step-by-step explanation:

Thanks to their discount, they get 10 dollars off. The result is 14.

(24 - 10 = 14)

A) The distance that a force of 3 newtons would stretch the rubber band is; 0.015 m

B) The amount of work it takes to stretch the rubber band this far is; 0.0225 J

From Hookes's law, as long as the elastic limit is not exceeded the extension is directly proportional to the force applied.

F = Ke

Where;

F = force

K = force constant

e = extension

Thus,  for a restoring force of magnitude 2 newtons ;

2 N = K(1 × 10⁻²) m

K = 2 N /(1 × 10⁻²) m

K = 200 N/m

a) For a force of 3 newtons, we have;

3N = 200 N/m × a

Where a is the extension in meters

a = 3N/200 N/m

a = 0.015 m

b) The formula to find the work done is;

P.E = ¹/₂Ke²

P.E = ¹/₂ * 200 * 0.015²

P.E = 0.0225 J

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Answer:

\(x^2+2x+1\)

Step-by-step explanation:

Note that \((a+b)^2=a^2+2ab+b^2\).

Let \(a=x\) and \(b=1\).

\((x+1)^2=x^2+2(x)(1)+1^2=x^2+2x+1\)

The trigonometric equations has the following solutions: x = 0 + j · π or x = 0.352π + j · π or x = - 0.352π + j · π, where j is a non-negative whole number.

In this problem we find the case of a trigonometric equation, whose solutions on the interval [0, 2π] must be found. This can be done by both algebra properties and trigonometric formulae. First, write the entire expression:

tan² x · sec² x + 2 · sec² x - tan² x = 2

Second, use trigonometric formulas to reduce the number of trigonometric functions:

tan² x · (tan² x + 1) + 2 · (tan² x + 1) - tan² x = 2

Third, expand the equation:

tan⁴ x + tan² x + 2 · tan² x + 2 - tan² x = 2

tan⁴ x + 2 · tan² x = 0

Fourth, factor the expression:

tan² x · (tan² x - 2) = 0

tan² x = 0 or tan² x = 2

tan x = 0 or tan x = ± √2

Fifth, determine the solutions to trigonometric equation:

x = 0 + j · π or x = 0.352π + j · π or x = - 0.352π + j · π, where j is a non-negative whole number.

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Answer:

-3/5

Step-by-step explanation:

3/ -5 is also equal to -3/5  or - (3/5)

a)The value of acceleration will be 4.8 m/s²

b)The total distance travelled is 505 m.

a) As all the movement happens along a straight line, we need to define an axis only, which we call x-axis, being the positive direction the one followed by the car.

We can choose to place our origin at the location where the motorcycle was stopped at the side of the road (assuming that it is the same point  for the car when it passes him), so our initial position is 0.

We can also choose our time origin to be the same as the instant that the motorcycle starts from rest, so t₀ = 0.

With these assumptions, and assuming also that the acceleration is constant, we can write two equations, one for the car (at constant speed) and the another one for the motorcycle, as follows:

xc = vx*t

xm= 1/2*a*t²

When the motorcycle passes the car, both distances traveled from the origin will be equal each other, i.e., xc = xm :

⇒ vx*t = 1/2*a*t²

We have as givens vx=35 m/s and t = 14.5 sec when both equations are equal each other.

⇒ 35 m/s* 14.5 s = 1/2*a*(14.5)²(s)²

Solving for a:

a = (2* 35 m/s) / 14.5 s = 4.8 m/s²

b) Replacing the value of a in the equation for xm, we have:

xm = 1/2*4.8 m/s²* (14.5)²s² = 505 m.

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Answer:

$5,172

Step-by-step explanation:

I multiplied by the 4.31% x 12,000 that got me 517.2 but if yo multiplied by 10 that gives me $5,172 years of his balance.

Answer:

-25

Step-by-step explanation:

= 2*(2) - 28 - 1

= 4 - 29

= -25

Given:-

\( \: \)

Solution:-

\( \: \)

\( \: \)

\( \: \)

\( \: \)

━━━━━━━━━━━━━━━━━━━━━━━

hope it helps! :)

Answer:

952

Step-by-step explanation:

LCM(8,14) = (8 × 14)  = (8 × 14) / 2  = 112 / 2  = 56

LCM(56,17) = (56 × 17)

= (56 × 17) / 1

= 952 / 1

= 952

Therefore,

                  LCM (Lowest common multiple) (8, 14, 17) = 952

To find the percentage change, here is what we can do:difference/original value x 100%The difference: 149-49 = 100The original value:149The percentage change: 100/149 x 100%=67.11409...%Therefore the answer is 67.1%(corr. to three significant figures)Hope it helps!

Answer:

Try your best! You can do it! I know you can! :) But sorry I can't help.

Step-by-step explanation:

Answer:

The answer is most likely A.

The reason why, is because since the earning in 6 hours is $94.50, so the hourly wage would be, $15.75 because:

94.50/6 = 15.75

Graph B, for the first hour, the amount of dollars is correct, but in 11 hours, it says 25.75, which is not correct so Graph B cannot be it.

Graph C, shows that at hour 1, that it is 15.75 dollars, but at hour 2 16.75, as well with hour 3, 17.75. The graph is showing an increase of 1 dollar per hour, which is not correct so graph C is not it.

Graph D shows that at hour 6, there is $94.50, which is correct, but at hour 12, its 100.50. This is not true because , the hour has increased by 6, and when it increased by 6, the amount of pay increased by 6 as well, which is not the right way in which you would do so.

Option A is correct!

Step-by-step explanation:

Hope it helps! =D

Answer:

70

Step-by-step explanation:

y-19 greater than 51

y greater than 51 +19

y is equals to 70

The mean monthly rainfall, Rounded to the nearest thousandth, is 2.520 inches.

To determine the mean monthly rainfall, we need to calculate the average of the rainfall values provided in the table. Here is the table:

| Month | Rainfall (in inches) |

|-------|----------------|

| January   | 2.3                

| February  | 1.7                

| March     | 3.2                

| April     | 2.9                

| May       | 2.5                

To find the mean monthly rainfall, we add up the rainfall values for each month and divide the sum by the total number of months. In this case, we have five months:

Mean Monthly Rainfall = (2.3 + 1.7 + 3.2 + 2.9 + 2.5) / 5

Calculating the sum of the rainfall values:

Mean Monthly Rainfall = 12.6 / 5

Dividing the sum by the number of months:

Mean Monthly Rainfall = 2.52

Rounded the result to the nearest thousandth, the mean monthly rainfall is approximately 2.520 inches.

Therefore, the mean monthly rainfall, rounded to the nearest thousandth, is 2.520 inches.

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