What is Mary's net worth if her assets total $16000, her gross income is $45000, her student loan debt is $22000 (she has no other debts), and her annual expenses (including taxes) total $40000?

Answers

Answer 1

Answer:

$ 143000

Step-by-step explanation:

her net worth is her assets and income minus her debts and expenses

160000 + 45000 - 22000 - 40000 = 143000


Related Questions

solve the following simultaneous equation
4x-3y=1
x-2y=4

Answers

Answer:

(-2,-3) or x=-2 and y=-3

Write the expression as a complex number in standard form.

( 7 - 4i ) + ( 8 + 6i )


(Please don't spam anything for points, and could you leave an explanation as well? Thanks!)

Answers

Answer:

15+2i

Step-by-step explanation:

Hi there!

We are given the following expression:

(7-4i) + (8+6i)

And we want to write it as a complex number in standard form

Standard form is a+bi, where a is the real part of the number and bi is the imaginary part of the number.

We can open up the parentheses on the expression

7-4i+8+6i

Now combine the like terms (add 8 and 7 together, then add -4i and 6i together)

15+2i

The complex number is now in standard form

Hope this helps!

Which equation represents a line with a slope of 3 that passes through the point (5,2)? Show all work

(A) y=3x-13

(B) y=3x+17

(C) y=3x-1

(D) y=3x+2

Answers

Answer:

A

Step-by-step explanation:

use the equation y-1=m(x-x1)

the slope is the same as the m which is the gradient

x1 is 5 and y1 is 2.the x and the y are constants

replace the values given in the equation

y-2=3(x-5)

y-2=3x-15

y=3x-13

I hope this helps

Solve the inequality 12(1/2 x - 1/3) > 8 - 2x

O A. x>-1
O B. x > 3
O C. X>1/2
O D. x>3/2

Answers

Answer:

[tex]D. \\x>\frac{3}{2}[/tex]

Step-by-step explanation:

12(1/2x - 1/3) > 8 - 2x

6x - 4 > 8 - 2x

6x + 2x - 4 > 8 - 2x + 2x

8x - 4 > 8

8x - 4 + 4 > 8 + 4

8x > 12

8x ÷ 8 > 12 ÷ 8

x  > 1.5

Which of the following equations of a line is NOT written in standard form?
A. 3x + 2y = 8
B. -9x – 4y = 17
C. x + y = 10
D. y = 6x

Answers

Step-by-step explanation:

None of the options are written as standard except option D.

Answer:

D. y = 6x

Step-by-step explanation:

Edge 2022

Can someone help me with this math homework please!

Answers

1st one = Arithmetic (A)

2nd = neither

3rd = Geometric (G)

4th = A

5th = G

Solve the following system of equations by graphing. Label the solution and all intercepts.
4x-2y=8
y=1/2x+2
Please show me also how to graph it. Thanks a ton!

Answers

Answer:

(4,4)

y = 4

x = 4

Step-by-step explanation:

First we need to input y = 1/2x + 2 into 4x - 2y = 8.

4x - 2 (1/2x + 2) = 8 <-- Then solve

4x - 1x + -4 = 8

3x - 4 = 8

    +4   +4

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

3x    =    12

3             3

x = 4

Now we need to use x and apply it to find y.

y = 1/2x + 2

y = 1/2(4) + 2

y = 2 + 2

y = 4

Now to graph go on the x axis (horizontal axis) and go to 4, then up 4 on the y axis.

You need to graph the point (4,4).

I hope this helps!

Answer:

see graph  (4,4)

to manually graph just pick any two values for X in the first equation and calculate the corresponding Y value ... put a "dot" (a point on the graph)

do for both points , and draw al LINE between them...

repeat fore the second equation... the "solution" is where the two lines cross

Step-by-step explanation:

A group of ten people is going to play ball this weekend . Four will play basketball : half as many people will play baseball , and the rest will play soccer. How many people will play soccer?

Answers

Answer:

4

Step-by-step explanation:

Four people will play basketball, so 10 - 4 = 6.

Half as many people will play baseball, and half of 4 is 2, so 6 -2 = 4.

The rest will play soccer, which is 4.

I need helppppp!!!!!!!!

Answers

Answer:

√124

Step-by-step explanation:

Using the Pythagorean theorem, We got: x^2 + (√101)^2 = 15^2

x^2 + (√101)^2 = 15^2

x^2 = 15^2 -  (√101)^2

x^2 = 225 - 101

x^2 = 124

x = √124

The answer is √124

If there were 36 candies and only 12 children, how many candies would each child get?

Answers

Answer:

3 each

Step-by-step explanation:

36 / 12 = 3

.................................................

each would get 3 pieces

3) Differentiate with respect to x: a) (x²-3x+5)(2x-7)​

Answers

Answer:

6x²-26x+31

Step-by-step explanation:

(x²-3x+5)(2x-7)​

=2x³-7x²-6x²+21x+10x-35

=2x³-13x²+31x-35

Now to differentiate:

dx=6x²-26x+31

A regular hexagon has a radius of 20 in. What is the approximate area of the hexagon?

600 in.2
1,038 in.2
1,200 in.2
2,076 in.2

Answers

Answer:

B

Step-by-step explanation:

A=(3*sqrt(3)*a^2)/2

A=(3*sqrt(3)*400)/2=1038

Answer:

B.  1,038 in.2

Step-by-step explanation:

Solve for 2. Round to the nearest tenth of a degree, if necessary.
3.9
0
H
2.2
NO0
Answer: 2
Submit Answer
Pls heparin

Answers

Answer:

x = 60.6

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta = opp /adj

tan x = 3.9/ 2.2

Taking the inverse tan of each side

tan ^-1 (tan x )=  tan ^-1(3.9/ 2.2)

x=60.57254

To the nearest tenth

x = 60.6

Determine the value of x.


Question options:

A) 72.64 units


B) 12.86 units


C) 16.66 units


D) 1.11 units

Answers

Answer:

Step-by-step explanation:

The 48 degree angle is our reference angle. The side measuring x is opposite that reference angle, and the side measuring 15 is adjacent to that reference angle. That means we need the trig ratio that uses the sides opposite and the side adjacent, which is tangent; namely:

[tex]tan48=\frac{x}{15}[/tex] and solve for x by multiplying both sides by 15 to get

15tan48 = x so

x = 16.66 units

Answer:C

Step-by-step explanation:

Rewrite the expression in the form y^n. y^5/4 / y^1/4

Answers

Answer:

y^{n+4}

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]\frac{y^n *y^{\frac{5}{4} } }{y^{\frac{1}{4} } } =y^n*y^{\frac{5}{4} } \times y^{-\frac{1}{4} } =y^{n+\frac{5}{4} -\frac{1}{4} } \\=y^{n+\frac{5-1}{4} } \\=y^{n+\frac{4}{4} } \\=y^{n+1}[/tex]

Un chip tiene un espesor de 0,12 mm y un atomo de cobre mide 0,00000000133 m.¿cuantos atomos se necesita para alinearlos en el espesor de un chip de celular uno a continuacion de otro

Answers

Answer:

El espesor de un chip es de 0.12mm

Y el diámetro de un átomo de cobre, mide aprox:

0.00000000133 m

Queremos saber cuantos átomos deberemos alinear de tal forma que la "cadena" de átomos de cobre mida 0.12mm

Eso es equivalente a ver cuantas veces entra 0.00000000133 m en 0.12mm

Primero, escribamos ambos valores en las mismas unidades, sabiendo que:

1m = 1000mm

Podemos reescribir:

0.00000000133m = 0.00000000133*(1000 mm) = 0.00000133mm

Entonces tenemos que ver cuantas veces entra 0.00000133mm en 0.12mm

Esto sera igual al cociente entre 0.12mm y  0.00000133mm, esto es:

N = (0.12mm)/(0.00000133mm) = 90,225.6

Redondeamos al próximo número entero:

N = 90,226

Esa es la cantidad de átomos que se necesitan.

8 is added to the queintel of 36 divided by 4​

Answers

Answer:

[tex](36 \div 4) + 8[/tex]

[tex]9 + 8[/tex]

[tex]17[/tex]

hope this will help you

Answer: 17

Step-by-step explanation:

36/4 = 9

9 + 8 = 17

4x-2y=10
y=-2x-5

A.(-1,-3)
B.(-1,-6)
C.(3,1)
D.(-3,-1)

Answers

Answer:

D.-3,-1 for 4x-2y=10 y=2x-5

Divide

(16x^2 + 16x^3 –6x)➗(6x–2)​

Answers

ANSWER: [tex]\frac{8x^2}{3} + \frac{32x}{9} +\frac{5}{27} +\frac{10}{27(6x-2)}[/tex]

GOOD LUCK, I hope this helped!

Help Please!!!
Find the volume of the triangle prism?

Answers

Answer:

Formula of a triangle:

B(base)H(height) x 1/2

Area of triangle:

8(base) x 13(height) x 1/2(basically just dividing by 2) = 52(area of triangle)

Now we multiply by the actual height of the whole thing

52(area of triangle) x 11(height) = 572 cm3 is your answer.

Answer:

area of base= B=1/2 bh

=1/2×8×13

=52

height of prism=11

volume of prim= Bh

=52(11)

=572 cm³

OAmalOHopeO

In a triangle ABC, angle BAC = 53° and angle ACB = 28°. If AB is produced to D, find angle CBD.​

Answers

Angle CBD= 81°

I hope it helps you...

Answer:

81

Step-by-step explanation:

∠CBD is the exterior angle of  the ΔABC.

Exterior angle property:

Exterior angle equals the sum of opposite interior angles.

∠CBD = ∠ABC + ∠ACB

           = 53 + 28

           = 81°

Identifying linear pairs and vertical angles

Answers

Answer:

a. <2 and <4

b. <5 and <8

c. <6 and <7

Step-by-step explanation:

a. Vertical angles are pairs of opposite angles formed by intersecting lines (they have congruent angles).

b. Linear pairs are the adjacent angles formed by the intersection of two lines. The sum of linear pairs is always 180 degrees.

c. A pair of angles whose sum is equal to 180 degrees.

hope it helps!

Answer:

a) <7 and <5

b) <2 and <3

c) <6 and <7

Step-by-step explanation:

a) Vertical angles that have the same point, and have the same angle degrees. Such as <7 and <5.

b) A Linear pair is two angles that add up to 180 and are next to each other. Such as <2 and <3.

c) Similar to linear pair, supplementary angles are two that add up to 180. Such as <6 and <7

Hope this helped.

ITC sells one product at a profit of 30% another at a loss of 30% at the same selling price.What is the loss incurred by ITC? A. 1% B. 2% C. 4% D. 0%​

Answers

Answer:

D. 0%

Step-by-step explanation:

The percentage of profit at which one of the products are sold = 30%

The percentage loss at which the other product are sold = 30%

Let x represent the prices of each of the products, we have;

The profit from the sale of the first product = 30% of x = 0.3·x

The loss from the sale of the second product = -30% of x = -0.3·x

The total gain or loss = Profit + Loss = 0.3·x + (- 0.3·x) = 0

Therefore, there is no net loss

The total loss incurred = 0%.

Oliver invested $970 in an account paying an interest rate of 7 1/2 % compounded continuously. Carson invested $970 in an account paying an interest rate of 7 3/8% compounded annually. To the nearest of a hundredth of a year, how much longer would it take for Carson's money to double than for Oliver's money to double?

Answers

Answer:

0.50 or about half a year longer.

Step-by-step explanation:

We can write an equation to model bot investments.

Oliver invested $970 in an account paying an interest rate of 7.5% compounded continuously.

Recall that continuous compound is given by the equation:

[tex]A = Pe^{rt}[/tex]

Where A is the amount afterwards, P is the principal amount, r is the rate, and t is the time in years.

Since the initial investment is $970 at a rate of 7.5%:

[tex]A = 970e^{0.075t}[/tex]

Carson invested $970 in an account paying an interest rate of 7.375% compounded annually.

Recall that compound interest is given by the equation:

[tex]\displaystyle A = P\left(1+\frac{r}{n}\right)^{nt}[/tex]

Where A is the amount afterwards, P is the principal amount, r is the rate, n is the number of times compounded per year, and t is the time in years.

Since the initial investment is $970 at a rate of 7.375% compounded annually:

[tex]\displaystyle A = 970\left(1+\frac{0.07375}{1}\right)^{(1)t}=970(1.07375)^t[/tex]

When Oliver's money doubles, he will have $1,940 afterwards. Hence:

[tex]1940= 970e^{0.075t}[/tex]

Solve for t:

[tex]\displaystyle 2 = e^{0.075t}[/tex]

Take the natural log of both sides:

[tex]\ln\left (2\right) = \ln\left(e^{0.075t}\right)[/tex]

Simplify:

[tex]\ln(2) = 0.075t\Rightarrow \displaystyle t = \frac{\ln(2)}{0.075}\text{ years}[/tex]

When Carson's money doubles, he will have $1,940 afterwards. Hence:

[tex]\displaystyle 1940=970(1.07375)^t[/tex]

Solve for t:

[tex]2=(1.07375)^t[/tex]

Take the natural log of both sides:

[tex]\ln(2)=\ln\left((1.07375)^t\right)[/tex]

Simplify:

[tex]\ln(2)=t\ln\left((1.07375)\right)[/tex]

Hence:

[tex]\displaystyle t = \frac{\ln(2)}{\ln(1.07375)}[/tex]

Then it will take Carson's money:

[tex]\displaystyle \Delta t = \frac{\ln(2)}{\ln(1.07375)}-\frac{\ln(2)}{0.075}=0.4991\approx 0.50[/tex]

About 0.50 or half a year longer to double than Oliver's money.

Which of the following statements is false?

Answers

Answer:

A. A Rhombus is a regular polygon

Guys please help me find the answer

Answers

Given

Value of Boat = $23,000

Rate = 18% per year

Time = 5 years

y = 23000(1-18/100)⁵

= 23000(82/100)⁵

So y = 23000 (0.82)

x = 5

Answered by Gauthmath must click thanks and mark brainliest

What is the length of BC? Round to the nearest tenth.

Answers

Answer:

BC ≈ 14.5 cm

Step-by-step explanation:

Using the sine ratio in the right triangle

sin65° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{BC}{AB}[/tex] = [tex]\frac{BC}{16}[/tex] ( multiply both sides by 16 )

16 × sin65° = BC , then

BC ≈ 14.5 cm ( to the nearest tenth )

If ABCD is dilated by a factor of 3, the
coordinate of C' would be:
5
c
B
2
-6 -5 -4 -3 -2 -1 0
2
3
4
5
-1
-2
A
D
C' = ([?],[])
--3

Answers

The new coordinate for C would be 1,2.

If m ≠ 1 and mn - 3 = 3 - n , then what is the value of n?
A) 6/ m+1
B) 6/ m-1
C) 6/ m+n
D) 6/ m-n

Answers

[tex]n = \frac{6}{m + 1} [/tex]

Hope it helps you...

The value of n is n= 6/( m+1).

What is expression?

An expression is a set of terms combined using the operations +, – , x or , /.

Given:

mn - 3 = 3 - n

mn + n = 6

n(m+ 1) =6

n= 6/( m+1)

Learn more about expression here:

https://brainly.com/question/14083225

#SPJ2

PGCPS ALGEBRA 1 CR (SUMMER 2021) 793023

Solve the equation

Use the equation solver to find the value of x that

makes the mathematical statement true.

1. For parentheses:

Distribute

O 0.5

0Bx93 94-03-17

63x93 126-17

• 17x

17x

O 0.5

2 If necessary

Combine Terms

O 0.87

O 1.5

23 Bx9326

-93 -93

2388

- 119

• 238

• 238

2. Apply properties:

Add Subtract

Multiply

Divide

05

To start over

Reset

You have solved the equation

Show Me

(1) Intro

✓ Done

Previous Activity

1 of 10

Answers

Answer:

See explanation

Step-by-step explanation:

The texts in the question is distorted and unclear; So, I will provide a general explanation of solving an equation with 1 variable.

A similar question that can be found online is:

[tex]8x - 8 = 4x + 12[/tex] --- to solve for x

First, collect all like terms

[tex]8x - 4x = 8 + 12[/tex]

Distribute the expression on the left-hand side

[tex]x(8 - 4) = 8 + 12[/tex]

[tex]x * 4 = 8 + 12[/tex]

Simplify like terms

[tex]x * 4 = 20[/tex]

Divide both sides by 4

[tex]x = 5[/tex]

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