Mathematics Middle School

Which of the following modifications to the list of assets and liabilities below would result in a negative net worth? House valued at $90,000. Mortgage owed $78,000. Car valued at $11,000. Car loan of $5,000. Student loan of $13,700. Stocks valued at $2,500. Savings of $3,000. a. Net worth is already negative. b. House value decreasing to $83,000. c. Borrowing $10,000 more in student loans. d. Selling off all owned stocks.

Answers

Answer 1

Answer:

The correct answer is C. Borrowing $10,000 more in students loans.

Answer 2

Option C - Borrowing $10,000 more in student loans is the correct Alternative.

We have list of assets and liabilities.

We have to determine which of given modification would result in negative net worth.

What is Asset and Liabilities?

Assets are the items your company owns that can provide future economic benefit. Liabilities are what you owe other parties.

According to the question -

Assets = House + Car + Stocks + Savings.

Total Assets = $90,000 + $11,000 + $2,500 + $3,000 = $106500

Liabilities = Mortgage + Car loan + Student loan.

Total Liabilities = $78,000 + $5,000 + $13,700 = $96700

Now if you borrow $10000 more in student loan then -

Total Liabilities = $78,000 + $5,000 + $13,700 + $10000 = $96700 + $10000 = 1,06,700 > Assets.

Hence, Option C is the correct Alternative.

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Related Questions

Which of these expressions represent the sum of 3 and n?

Answers

Don't really need to post the options to know what the expression(s) should look like.

"Sum of" tells you its addition and because it's addition the order of the two terms (the 3 and the N) don't matter.

Your correct expressions are:

3 + n
or
n + 3

Which expression gives the distance between the points (5, 1) and (9, -6)?

Answers

Answer:

[tex]d = \sqrt{65}\text{ units}[/tex]

Step-by-step explanation:

Let [tex](x_1,x_2)[/tex] and [tex](y_1, y_2)[/tex] be the two points.

We have to find the distance between the two points.

The distance Formula:

[tex]d = \sqrt{(x_1 - y_1)^2 + (x_2 - y_2)^2}[/tex]

Here, we are given [tex](x_1,x_2)[/tex] = (5,1) and [tex](y_1, y_2)[/tex] = (9,-6)

Then, the distance between these two points is given by:

[tex]d = \sqrt{(5 - 9)^2 + (1- (-6))^2}[/tex]

[tex]d = \sqrt{(-4)^2 + (7)^2}[/tex]

[tex]d = \sqrt{16 + 49}[/tex]

[tex]d = \sqrt{65}[/tex]

Thus, the distance between the given point is [tex]\sqrt{65}\text{ units}[/tex].

The average pay of employees is $399.44 per week at a local True Value Hardware store. Jay Miller earns $411.11 per week. How much is Jay's pay over the average?

Answers

The Answer is. $11.67

Final answer:

To calculate how much more Jay Miller's weekly salary is compared to the average, subtract the average weekly salary ($399.44) from Jay's weekly salary ($411.11). The difference is $11.67, which is how much Jay's weekly pay is over the average.

Explanation:

The question is asking us to calculate how much more Jay Miller's weekly salary is compared to the weekly average salary of employees at the local True Value Hardware store. The step-by-step process to solve this is very simple. Firstly, we will subtract the average weekly salary from Jay's weekly salary.

The average weekly salary is $399.44.Jay's weekly salary is $411.11.Subtract the average weekly salary from Jay's weekly salary:
$411.11 - $399.44 = $11.67

So, Jay's weekly pay is $11.67 over the average.

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Consider a cylinder with radius 6 cm and a height of 11.5 cm. Describe how to calculate the surface area of the given cylinder and what the surface area means.

Answers

Surface area is area you get from a shapes net.
A net is an unfolded 3d shape.
To find the surface area you use the equation [tex]A= 2x \pi r h + 2 \pi r^{2} [/tex]
For this cylinder, the answer would be around 659.73

Surface area is the area you get from a shape's net.

A net is an unfolded 3rd shape.

To find the surface area you use the equation A = 2xπrh + 2πr²

The answer would be 659.73 cm²

Hope this helps have a wonderful day!

what would be the cross section from a vertical slice of a hexagonal pyramid

Answers

A cross section is the shape you see when you make one slice through a solid. A solid can have many different cross sections depending on where you make the slice. Consider the following hexagonal pyramid. Cross sections perpendicular to the base and through the vertex will be triangles.

Hope this helps!! - xeyaba

A cross section is the 2D shape that is formed when a 3D object is cut, or sliced. If you cut a hexagonal prism vertically, the face of the side that is cut will form a rectangle.

A cylinder has a circular base with a diameter of 12ft. The height of cylinder is 4 ft. What is the volume of the cylinder rounded to the nearest whole number? Use 3.14 for pi.

Answers

Is it like 12×4=48 rounded

Volume of a cylinder = πr² h

Volume = (3.14)(12÷2)²(4) = 452 ft³ (nearest whole number)

Answer: 452 ft³

Keisha has one penny, one nickel, and one dime in her pocket. She randomly takes on coin out of her pocket. Without putting it back, she randomly takes out another coin. If Keisha lists all the possible outcomes of picking the two coins one at a time, how many outcomes are there?

Answers

There are 12 different ways she could take a penny, a nickle, and a dime out of here pocket and only pick 2. What i did was i took 2 and 3 and multiplied them. because i can pick 2 coins, and there are 3 coins in total. After i multiplied them i got 6, then i got 2 and multiplied it by 6 and came out with 12. The reason why i did that is because there are 6 outcomes so far then you have to multiply them by 2 to get all of your complete outcomes. I hope i could help!!! Please give me brainliest!!! Have a great day =D!!!

3/7÷1/2 how do you graph this

Answers

3/7 divided 1/2 is the same as 3/7 times 2 which is 6/7.

Not sure what you mean by graphing it though. Like on a number line? There is no x or y in your equation.

I do not think you can graph that

use the given graph to determine the period of the function. 1 & 2 plz

Answers

The period of the function is that distance where the function becomes equal again.
We have then:
Part 1:
The period of the function is:
T = 3
Part 2:
The period of the function is:
T = 4
Answer:
The period of functions 1 and 2 respectively are:
T = 3
T = 4

given the equation (x+a)^2(x-2)=x^3+bx^2+12x-72 find a and b

Answers

Isolate the variable by dividing each side by factors that don't contain the variable.

[tex]a=- \frac{ x^{2}- \sqrt{( x^{3} + x^{2} b+12x-72(x-2)-2x} }{x-2} ,- \frac{ x^{2}+ \sqrt{( x^{3} + x^{2} b+12x-72(x-2)-2x} }{x-2} [/tex]

Solve for b by simplifying both sides of the equation then isolating the variabel.

[tex]b= \frac{12}{x}+ \frac{72}{ x^{2} }-2+2a- \frac{4a}{x}+ \frac{ a^{2} }{x}- \frac{2a^{z} }{ x^{2} } [/tex]

Hopefully i helped ^.^ Mark brainly if possible

if the circumference of the base=126 cm and h=10 cm, find the volume

Answers

126 times 10 and whatever that answer is is the volume

Thomas lives in an apartment complex where all the mailboxes are together in one area. The dimensions of his individual mailbox are shown below.

Answers

To find the volume, multiply 5/12, 6/5, and 1/2.

5/12 * 6/5 = 30/60.

30/60 * 1/2 = 30/120

If you simplify this you get 1/4.

The volume of the mailbox is 1/4, or 0.25.

Please find perimeter and area. also show work plz. It's really easy. I will mark as brainliest.

Answers

Perimeter: 115.472 ft

The perimeter of an enclosure is the length around the enclosure, or the sum of all the outer sides added up (red+blue lines in picture).

1) We are told that the two vertical sides of the enclosure (shown in blue) are each 20ft, making it 20 + 20 = 40ft total. All we need to find is the sum of the lengths of the four sides of the triangles (shown in red).

2) We are given the height of the triangle, 16ft, and the length of the base of the triangle, 20ft. To find the length of the edge we're looking for, we need to find the hypotenuse of the right triangle shaded in green. One of the legs of the triangle is 10ft (half of the base of the larger triangle) and the other leg is 16ft (same as height of the larger triangle).

Use the pythagorean theorem, which says [tex] a^{2} + b^{2} = c^{2} [/tex].
a and b are the length of your legs, 10ft and 16ft, and c is the length of the hypotenuse, or the side we're looking for. Plug your numbers in and find c:
[tex]10^{2} + 16^{2} = c^{2} \\ c^{2} = 356\\ c = 18.868 ft[/tex]

3) Now you know each red side is 18.868 ft. There are 4 red sides, so 4 x 18.868ft = 75.472ft. Add this number to the length of your two blue sides to get the perimeter:
75.472ft + 40ft = 115.472ft.

--------------

Area: [tex]720ft^2[/tex]

The area of the enclosure is shaded in yellow. To find the area of the enclosure, you want to find the sum of the areas of all the shapes. Break the enclosure down into one square (in the middle) with two triangles on the top and bottom, find the area of those three shapes, and add those areas together.

1) The equation for the area of the square is [tex]A=s^2[/tex], where s = length of the side.
You're told that the length, s = 20ft. Plug that in and solve for the area of the square:
[tex]A=s^2\\ A=20^2\\ A = 400 ft^2[/tex]

2) The equation for the area of a triangle is [tex]A = \frac{1}{2} bh[/tex], where b = length of base and h = height of triangle.
You're told that the length of the base, b = 20ft and the height of the triangle, h = 16ft. Plug these values in and solve for area of one of the triangles:
[tex]A = \frac{1}{2} bh\\ A = \frac{1}{2} (20)(16)\\ A = 160 ft^2[/tex]

3) Since you have two identical triangles, multiply the area of one triangle by two to get the total area of the two triangles:
[tex]160 ft^2 \times 2 = 320 ft^2[/tex]

4) Add up the areas of the square and the two triangles to get the total area of the enclosure:
[tex]400 ft ^2 + 320 ft^2 = 720ft^2[/tex]

The following data shows the low temperature in Vancouver, in degrees Celsius, for two weeks in January one year. 8.90, 8.35, 8.50, 8.65, 8.55, 8.20, 8.50, 8.32, 8.50, 8.60, 8.60, 8.30, 8.10, 8.65 Which box plot best represents this data?

Answers

To create the dot plot you will list the data in order and use the given numbers to create the box plot.

8.10, 8.20, 8.30, 8.32, 8.34, 8.50, 8.50, 8.50, 8.55, 8.60, 8.60, 8.65, 8.65, 8.90

Lower extreme: 8.10
Upper extreme: 8.90
Median: 8.50
1st/lower quartile: 8.32
3rd/upper quartile: 8.60

Please see the attached picture for the boxplot.

a furnace is rated 4000 BTU per hour. How many foot pounds of energy are released in one hour?

- 5.1 foot pounds

- 2,456,000 foot pounds

- 0.2 foot pounds

- 3,112,000 foot pounds

Answers

To solve this we are going to use a conversion factor. We know that 1 BTU per hour is approximately 778 foot-pounds of energy per hour, so our conversion factor will be: [tex] \frac{778foot-pound}{1BTU} [/tex].

Now we just need to multiply 4000 BTU by our conversion factor:
[tex]4000BTU*\frac{778foot-pound}{1BTU}=3112000foot-pound[/tex]

We can conclude that the furnace released 3,112,000 foot pounds of energy in one hour.

A basket is filled with white eggs and brown eggs. Half of the white eggs are cracked. An egg is randomly selected from the basket. What is the probability that it is a cracked, white egg? Write your answer as a fraction in simplest form.

Answers

Final answer:

The probability of randomly picking a cracked white egg from a basket of white and brown eggs is calculated by dividing the number of cracked white eggs (half of the total white eggs) by the total number of eggs. However, specific numbers for the number of white and brown eggs are needed for an exact answer.

Explanation:

In order to answer this question, we need to know the number of white eggs and brown eggs in the basket. However, assuming that there are 'w' white eggs and 'b' brown eggs in the basket, and half of the white eggs are cracked, the probability of randomly picking a cracked white egg would be calculated by dividing the number of cracked white eggs by the total number of eggs. Therefore, if 'w' over 2 represents cracked white eggs, the probability would be (w/2) / (w + b).

For example, if the basket had 10 white eggs and 20 brown eggs, and half the white eggs are cracked. There would be 5 cracked white eggs. Hence, the probability of picking a cracked white egg would be calculated as: (5 / (10 + 20)), which equals to 1/6.

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Elizabeth has two gardens in her yard. The first garden is 8 feet long and 6 feet wide. The second garden is half the length of the first garden. the area of the second garden is twice the area of the first garden. What is the area of the second garden? Ask for details Follow Report by Beatrizsalazar 28.02.2018

Answers

The area of the second garden is 96 square feet.

Let's denote the length of the second garden as l (since it's half the length of the first garden) and the width of the second garden as w.

Given:

Length of the first garden [tex]($L_1$)[/tex]= 8 feet

Width of the first garden [tex]($W_1$)[/tex] = 6 feet

Length of the second garden [tex]($l$) = $L_1/2$ = $8/2 = 4$[/tex] feet

Area of the first garden [tex]($A_1$) = $L_1 \times W_1$ = $8 \times 6 = 48$[/tex] square feet

We are given that the area of the second garden [tex]($A_2$)[/tex] is twice the area of the first garden:

[tex]\[A_2 = 2 \times A_1 = 2 \times 48 = 96\][/tex] square feet

I know how to solve number 4 but I’m having a hard time with 1,2,3,5,6

Answers

Part 1)
angle b=112-------> by vertical angles
angle a+112=180-----> supplementary angles
angle a==180-112----> angle a=68
angle c=angle a-----> by vertical angles
angle c=68

the answer part 1) is

angle a=68°
angle b=112°
angle c=68°

part 2)
angle a+15+38=180-----> angle a=180-(15+38)----> angle a=127

the answer part 2) is
angle a=127°

part 3)
angle b=40-----> by vertical angles
angle d=70-----> by vertical angles
2*angle x+40+angle d=180----> 2*angle x=180-(40+70)
2*angle x=70------> angle x=35
angle a=angle x-----> by vertical angles
angle a=35
angle c=angle x-----> by vertical angles
angle c=35

the answer part 3) is
angle a=35°
angle b=40°
angle c=35°
angle d=70°

Part 4)
angle a+70=90------> are complementary angles
angle a=90-70----> angle a=20
angle a+angle b=90----> are complementary angles
angle b=90-angle a----> 90-20-----> angle b=70
angle d=70 -------> by vertical angles
angle d+angle e=180------> supplementary angles
angle e=180-angle d----> angle e=180-70----> angle e=110
angle a+angle b+angle c+angle d=180
angle c=180-(20+70+70)----> angle c=20

the answer part 4) is
angle a=20°
angle b=70°
angle c=20°
angle d=70°
angle e=110°

Part 5)
angle a+90=180------> supplementary angles
angle a=180-90----> angle a=90
angle a +angle b=180----> supplementary angles
angle b=180-angle a----> angle b=180-90----> angle b=90
angle e=132-----> by vertical angles
angle d+132=180-----> supplementary angles
angle d=180-132----> angle d=48
angle c+138=180-----> supplementary angles
angle c=180-138----> angle c=42

the answer part 5) is
angle a=90°
angle b=90°
angle c=42°
angle d=48°
angle e=132°

part 6)
angle a+110=180------> supplementary angles
angle a=180-110----> angle a=70
angle c=25-----> by vertical angles
angle b+100+25=180----> angle b=180-(100+25)----> angle b=55

the answer Part 6) is
angle a=70°
angle b=55°
angle c=25°

Consider the attached diagram if the box weighs 100 N in what direction is the support force
A) up
B) down
C) left
D) right

Answers

The support force would be A) up.

There needs to be an equal amt of force exerted on the box from the bottom so that the box won't crash through the ground and into space. It needs to be kept on the ground by a force exerting upwards as gravity pulls it down.

please help me with this math question

Answers

If the two rectangles are similar, their sides must be proportional. We can figure this out by setting up a proportion. We need to make sure to match up the correct sides though. We know the two longer sides must match up, so 6 goes with 60, and 3 goes with 30:

3/6=30/60

If we reduce the fractions, we get:

1/2=1/2

Therefore, the rectangles are similar. One of them is just rotated.

Does 21.6,28.8,36 equal a right triangle

Answers

21.6 < 28.8 < 36

if they are the lengths of the sides of a right triangle then:

[tex]21.6^2+28.8^2=36^2\\\\L_s=466.56+829.44=1296\\\\R_s=1296\\\\L_s=R_s[/tex]

therefore it's the right triangle.

PLX HELP! Need this ASAP! Thx

One of the same side angles of two parallel lines is 20° smaller than the other one. Find all angles.

Answers

Same side angles together form angle with measure 180^{0}. Let x be a measure of smaller angle, then x+20^{0} is measure of bigger angle.
x+x+20^{0}=180^{0}
2x=160^{0}
x=80^{0}.
So measure of smaller angle is 80^{0} and measure of bigger angle is x+20^{0}=80^{0}+20^{0}=100^{0}.

Answer:

80° and 100 °

Step-by-step explanation:

The total of the two angles is 180°, and one angle is 20° smaller than the other, so the equation would be x+x-20°=180°, then all you need to do is find x, and x-20°.

DONT FORGET TO WRITE THE DEGREE SYMBOL OR IT WILL BE COUNTED AS INCORRECT!!!

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what components make an ellipse an ellipse

Answers

All ellipses have two focal points or foci. All ellipses have a center and a major and minor axis

Final answer:

An ellipse is a curved shape characterized by two foci and a major axis, with every point on the ellipse being at a constant sum of distances from the foci. The eccentricity, which is the ratio of the distance between the foci to the length of the major axis, determines the 'roundness' of the ellipse. The ellipse can be constructed using the gardener's method to showcase this constant sum property.

Explanation:

An ellipse is a specific type of curve that is noticeably different from a circle in that it is elongated; it has two distinct foci instead of a single central point and a major axis that defines its longest diameter. The foci are two fixed points located within the ellipse such that the sum of the distances from any point on the ellipse to the two foci is constant. This consistent sum of distances is what gives an ellipse its characteristic shape. This property is often demonstrated by the 'gardener's method' of creating an ellipse by anchoring a string to two fixed points (the foci) and tracing a path with a marker keeping the string taut.

The eccentricity of an ellipse, which determines its 'roundness,' is the ratio of the distance between the two foci to the length of the major axis. If the foci are close together relative to the major axis, the ellipse will appear more circular; if they are further apart, the ellipse will be more stretched out. The major axis (2a) cuts the ellipse into two equal halves, and each half is referred to as the semimajor axis (a).

A crucial aspect of drawing an ellipse involves identifying the length of the major axis and the location of the two foci. Because these elements are so fundamental, an ellipse can be readily illustrated by the use of string and a couple of tacks representing the foci.

PLEASE HELP!!!

Explain why the graph of quadratic function could not contain both a minimum vertex and maximum vertex at the same time.

Your explanation should be 3-4 sentences and include at least 6 of the following words.

-parabola
-U-shaped graph
-vertex
-minimum
-maximum
-Y-value of the vertex
-X-value of the vertex
-quadratic function

Answers

A parabola, a graph of a quadratic function, cannot have a maximum vertex and a minimum vertex at the same time because of the shape of the graph. A parabola is a u-shaped graph. The vertex of the parabola is the point where the u changes direction; if it was increasing, it starts to decrease, and if it was decreasing, it starts to increase. Since a parabola only changes direction once, there will either be a minimum or a maximum, not both.

Answer:

アップダウンは世の常

クズ引いたって動じない

Step-by-step explanation:

Tyrone factored the polynomial completely. What is the value of b? 12x^4+30x^3+4x^2+10x
Ax(Bx^2+1)2x+5

Answers

The value of B = 2x (3x^2 + 1) (2x + 5)

Given: 12x^4 + 30x^3 + 4x^2 + 10x

Req'd: B = ?

Sol'n:

*use elimination

solving for B:

= 2x (6x^3 +15x^2 + 2x +5)
= 2x (3x^2(2x + 5 +2x +5)
= 2x (3x^2 + 1) (2x + 5)

Answer:

[tex]B=3[/tex]

Step-by-step explanation:

We have been given an expression [tex]12x^4+30x^3+4x^2+10x[/tex].

Let us factor our given expression to answer the given problem.

Factor out [tex]2x[/tex] from all terms:

[tex]2x(6x^3+15x^2+2x+5)[/tex]

Now, we will make two groups of [tex]6x^3+15x^2+2x+5[/tex] as shown below:

[tex]2x((6x^3+15x^2)+(2x+5))[/tex]

Factor out [tex]3x^2[/tex] from 1st group:

[tex]2x((3x^2(2x+5))+(2x+5))[/tex]

[tex]2x(3x^2+1)(2x+5)[/tex]

Upon comparing [tex]2x(3x^2+1)(2x+5)[/tex] with [tex]Ax(Bx^2+1)(2x+5)[/tex], we can see that [tex]A=2[/tex] and [tex]B=3[/tex].

Therefore, the value of B is 3.

Determine the rate of change from the table of solutions.
Determine the y-intercept from the table.
Write the equation of the line.

x y
--------------------
-3 10
-2 7
-1 4
0 1
1 -2
2 -5

Please Help!!
Show your work please!
Will give brainliest!!

Answers

Pick two points at random so we can find the slope. I picked (0, 1) and (- 1, 4)

Slope = [tex] \frac{Y2 - Y1}{X2 - X1} [/tex]

(4 - 1) / (- 1 - 0)
3 / - 1
- 3 is the slope.

Now plug this into slope-intercept form y = mx + b

y = - 3x + b

Use either of the points to find the b variable

1 = - 3(0) + b
1 = 0 + b
1 = b

Your equation is y = - 3x + 1

Rate of change is the same as slope so your rate of change is - 3.

The y-intercept is the "b" in slope-intercept form so your y-int is 1.

A number cube is rolled 360 times , and the results are recorded as follows : 96 ones , 31 twos , 49 threes , 76 fours , 45 fives , and 63 sixes . What is the experimental probability of rolling a 2 or a 3 ?

1. 0.16
2. 0.22
3. 0.37
4. 0.78

Answers

Total number of times rolled = 360

Total number of 2s and 3s = 31 + 49 = 80

P(2 or 3) = 80/360 = 2/9 = 0.22 (nearest hundredth)

Answer: 0.22

The experimental probability of rolling a 2 or a 3 would be 0.22

What is the probability?

Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.

We are given that number cube is rolled 360 times , and the results are recorded as follows : 96 ones , 31 twos , 49 threes , 76 fours , 45 fives , and 63 sixes .

Total number of times rolled = 360

Total number of 2s and 3s = 31 + 49 = 80

P(2 or 3) = 80/360 = 2/9

P(2 or 3) = 0.22 (nearest hundredth)

The answer is: 0.22

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Kathy is baking cakes each cake requires 1/12 of a teaspoon of vanilla and she has 9/12 of a teaspoon how many cakes can she bake?

Answers

Kathy can make 9 cakes

9 cakes•••• If 1 teaspoon = 1 cake, then 9 teaspoons must = 9 cakes.

In a large apartment building, 35 of the apartments have a balcony and 55 do not. An apartment us randomly selected as part of a survey. What is the probably it has a balcony?

Answers

11/18 probability

90 apartments total

35/90=

11/18

Answer:

Thanks

Step-by-step explanation:

This person is correct peeps :DD

How would I set up the equation to find mRQS on this circle?

Answers

mRQS=360-mSR. or mRQS=31x+13...To solve the measure of the minor arc RQS you would use this... 31x+13+(6+18x/2. )=360.

Other Questions

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