Gretchen's gross annual salary is $57,852 what is the maximum amount of rent she can afford to pay

Answers

Answer 1
Answer: Varies depending on the percent that you use.

To find the amount that you should spend on rent, you simply multiply your total annual salary by the recommend percent. Use the one that you were given.

A common percent is 30%.

So you would do the following problem if you were using 30%.
0.30 x 57852 = $17,355.6.


Answer 2

Rent should be no more than 28% of a person's gross monthly income. Divide the annual salary by 12 and multiply the quotient by 0.28.

Answer is $1350


Related Questions

1. What is the value of x? Show all of your work.

Answers

Pythagorean Theorem: A^2 + B^2 = C^2 
We know A and C, let's find B by doing it backwards 

C^2 - A^2 = B^2 
4^2 - 7 (square root of 7 squared is just 7) = B^2 
16 - 7 = B^2 
9 = B^2 

Please help me. Thank you.

Answers

The equation for Circumference is: 2πr

The diameter is 8.4 cm

to find radius (r), divide 8.4 by 2

8.4/2 = 4.2

plug in 4.2 for "r"

2π(4.2)

8.4π cm is your answer

hope this helps

The distance from the origin to the point ​(-24​, 32​) is

Answers

The Pythagorean theorem tells you that distance is
.. √((-24)^2 +32^2)) = √(576 +1024) = √1600 = 40

Question 4 find the indicated probability or percentage for the normally distributed variable. the volumes of soda in quart soda bottles are normally distributed with a mean of 32.3 oz and a standard deviation of 1.2 oz. what is the probability that the volume of soda in a randomly selected bottle will be less than 32 oz?

Answers

Answer: 40.13% of the soda bottles will have a volume less than 32 oz.

First, we need to find the z-score. That is the number of standard deviations below the mean.

(32 - 32.3) / 1.2 = -0.25

A bottle of 32 oz is -0.25 standard deviations below the mean. Use a standard normal distribution probability table and you will find the 40.13% of the scores are below a z-score of -0.25.

The Campbell family has a disposable income of $60,000 annually. Assume that their marginal propensity to consume is 0.8 (the Campbell family spends 80% of new disposable income on consumption) and that their autonomous consumption spending is equal to $10,000. What is the amount of the Campbell family\'s annual consumer spending?,

Answers

Given the Keynesian equation C=A+MD, we find 10000 + (0.8 x 60000) = $58000. M is the Marginal propensity to consume, the A is the Autonomous consumption, and D is disposable income, giving Annual consumer spending as C.
Final answer:

The annual consumer spending of the Campbell family is $58,000.

Explanation:

To calculate the amount of the Campbell family's annual consumer spending, you need to consider their autonomous consumption spending and their marginal propensity to consume. The autonomous consumption spending is $10,000, which means that even if their disposable income is zero, they will still spend $10,000. The marginal propensity to consume is 0.8, so for every additional dollar of disposable income, they will spend 80 cents. To find the annual consumer spending, you can use the formula: Consumer Spending = Autonomous Consumption Spending + (Marginal Propensity to Consume * Disposable Income). In this case, the disposable income is $60,000, so the annual consumer spending would be $10,000 + (0.8 * $60,000) = $58,000.

Learn more about Calculating consumer spending here:

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The angle between 0 and 2 π in radians that is coterminal with the angle 62 9 π in radians is

Answers

ill  recomment on my thing right now with the answer let me just go read up on how to do this 

8π/9 is coterminal with 62π/9 and lies between 0 and 2π.

Given that, the angle between 0 and 2 π in radians that is coterminal with the angle 62π/9 in radians.

What is the coterminal with the angle?

The coterminal angles are the angles that have the same initial side and the same terminal sides. We determine the coterminal angle of a given angle by adding or subtracting 360° or 2π to it.

To find a coterminal angle, add or subtract any multiple of 2π, that is

62π/9 - 2π = (62π-18π)/9

44π/9 - 2π = 26π/9

26π/9 - 2π = 8π/9

Therefore, 8π/9 is coterminal with 62π/9 and lies between 0 and 2π.

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I need help with math help me?
Cindy bought 5 dresses for $20 each and 3 pairs of shoes for $20 each. She used this expression to calculate the total amount she spent.

(5 × 20) + (3 × 20)


What is another expression to calculate the total amount spent?
A) (5 + 3) × 20
B) 5 × (20 + 3)
C) 5 × 20 × 3
D) (5 + 20) × (3 + 20)

Answers

Answer:

A) (5+3) x 20

Step-by-step explanation:

5 and 3 both go into 20. So therefore the answer is A because 20 goes into both 5 and 3.

one light year is 5.88 x 10^12 miles. suppose a star is 2.23 x 10^2 light years away from earth. In scientific notation how many miles is it?

Answers

we have that

applying a rule of three

if 1 light year is ----------------> 5.88 x 10^12 miles
2.23 x 10^2 light years-----------> X
X=2.23 x 10^2*(5.88 x 10^12 miles)---------> 1.31 x 10^15 miles

the answer is 1.31 x 10^15 miles

Peter is making an "X marks the spot" flag for a treasure hunt. The flag is made of a square white flag with sides of
12 inches. He will make the "X" by stretching red ribbon diagonally from corner to corner. How many inches of ribbon will Peter need to make the "X"? Round your answer to the nearest inch.

Answers

To answer this question you can use the Pythagorean Theorem Which states that a squared plus b squared equals c squared. C is the hypotenuse of a triangle (one of the diagonals forming the X). The hypotenuse is the side directly across from the right angle. A and b are both 12, so 12 squared plus 12 squared is 288. To solve for c, find the square root of 288, which is approximately 17 inches. Double this (one for each line in the X and you need approximately 34 inches of ribbon. Always label your answers!
the answer would be 34

The owner of a garden center delivers bags of mulch. Each bag is sold for $6. The owner spends $16 for transportation to deliver the bags. Which of the following is the slope of the profit function for the garden center owner per delivery? Answer Choices m=6 m=−6 m=16 m=−16

Answers

m=6  
The profit function for this would be  P=6s-16 where P is profit, s is bags sold and -16 is the cost of transportation. the 6 represents how much each bag sells for. it is a linear equation that can be represented as y=mx+b where m is the slope or 6 in this case. 

If the height of Mount Everest is about 8.8×103 meters, and the height of the Empire State Building is about 3.8×102 meters, which of these statements is true?

Answers

Mount Everest is about 23 times as tall as the Empire State Building. Hope that helps!

Answer:

option C is correct, i.e. Mount Everest is about 23 times as tall as the Empire State Building .

Step-by-step explanation:

Given options are:-

A. There is no way to compare these heights .

B. Mount Everest is about 40 times as tall as the Empire State Building .

C. Mount Everest is about 23 times as tall as the Empire State Building .

D. The Empire State Building is about 23 times as tall as Mount Everest.

Given the height of Mount Everest is about 8.8×10^3 meters, and the height of the Empire State Building is about 3.8×10^2 meters.

Finding ratios of given heights:-

[tex]\frac{Mount\;\;Everest}{Empire\;\;State\;\;Building} =\frac{8.8*10^3m}{3.8*10^2m} \\\\\frac{Mount\;\;Everest}{Empire\;\;State\;\;Building} =23.15789474 \approx 23 \\\\Mount\;\;Everest=23*(Empire\;\;State\;\;Building)[/tex]

Hence, option C is correct, i.e. Mount Everest is about 23 times as tall as the Empire State Building .

PLEASE HELP 20 POINTS!!!!!!!!! The graph below shows a system of equations: Draw a line labeled y equals x plus 4 by joining the ordered pairs negative 4, 0 and 1, 5. Draw a line labeled 3 times y equals minus 2 x plus 2 by joining the ordered pairs negative 2, 2 and 4, negative 2 The x-coordinate of the solution to the system of equations is__________

Answers

2 y = - x - 12 y = x + 5

- x - 1 = x + 5- 2 x = 5 + 1- 2 x = 6x = - 6 : 2x = - 32 y = - 3 + 52 y = 2y = 1The solution is ( - 3 , 1 ).Answer: x = - 3.
this was easy it is -3

The square of the sum of 7 times x and 3 divided by 4 times the difference of x and 1

Answers

I believe the 3rd answer down if the information you provided is correct

Squaring the sum on the top, rules out 1 and 2 (not squaring the 7 only)
then 4 times the difference.  so I believe 4 (x-1) on the bottom.

Answer:  Third option is correct.

Step-by-step explanation:

Since we have given that

The square of the sum of 7 times x and 3 divided by 4 times the difference of x and 1.

The square of the sum of 7 times x and 3 would be written as

[tex](7x+3)^2[/tex]

and 4 times the difference of x and 1 is written as

[tex]4(x-1)[/tex]

Mathematically, it is expressed as

[tex]\dfrac{(7x+3)^2}{4(x-1)}[/tex]

Hence, Third option is correct.

The opening of the tunnel can be modeled by the graph of the equation y=-0.18x^2+4.4x-12 where x and y are measured in feet. Find the maximum height of the tunnel.

Answers

1. To find the vertex of a parabolla whose equation is written in the standard form, you must apply the following proccedure:
 
 2. You have:
 
 y=-0.18x²+4.4x-12 
 
 a=-0.18
 b=4.4
 
 3. You must apply the following formula:
 
 x=-b/2a
 x=-4.4/2(-0.18)
 x=-4.4/-0.36
 x=12.22
 
 4. When you susbtitute x=12.22 into the equation y=-0.18x²+4.4x-12, you obtain:
 
 y=-0.18x²+4.4x-12
 y=-0.18(12.22)²+4.4(12.22)-12
 y=14.88 feet
 
 5. The answer is: The maximum height of the tunnel is 14.88 feet

PLEASE HELP ME ON THIS!!!!

Answers

The last two choices are appropriate.

Both give you f(1) = 7, f(2) = 9.50, f(3) = 12.00, ... as they should.

Angle 1 and angle 3 are complementary and angle 1 =~ angle 2 which one of these statements will always be true

Answers

Can you add the options?
Also since the options aren't there I'll just help set up.
So angle 1 and angle 3 add up to 90 degrees. Angle 1 and Angle 2 are equal so whatever option has something around those lines is correct.

Jacob drew the similar triangles below to represent the sides of two bicycle stunt jumps. The area of the smaller triangle is 36 square inches. what is the area of the larger triangle?

A. 54
B.108
C. 324
D. 432

Answers

The answer is D. 432.
Solution to this is,
36 x 12= 432
If the area of the smaller triangle is 36, then the answer to the area of the larger triangle is 432 inches square.

Which expression is equivalent to 3^12 • 7^9

Answers

The answers are...

B. (3 ^3) ^9 * (7 ^3) ^6
D. (3 ^3 + 3 ^9) * (7 ^6 + 7 ^3)

Help! Please. I don't get this.

Answers

a) ∠SQR and ∠2
b) Q
c) QR and QT

MATH HELP PLEASE UGRGENT WILL GIVE BRAINIEST!!
In the figure, YX−→− and YZ−→− are tangents to circle A at points X and Z, respectively.

mXZ=140∘
mXSZ=220∘



What is the measure of ∠XYZ ?

Answers

The measure of an angle formed by two tangent lines intersecting at a point outside the circle is equal to one-half their intercepted arcs.
XYZ = 1/2(XSZ - XZ)
XYZ = 1/2 (220 - 140)
XYZ = 1/2 (80)
XYZ = 40

The measure of angle XYZ is 40 degrees.

Hope this helps =)

Answer:

40

Step-by-step explanation:

The perimeter of to similar polygon is 20 and 28. On side of the smaller polygon is 4. Find the corresponding side of the larger polygon

Answers

Hey there! :D

Use proportions to figure out the similarity and the missing side. 

The smaller polygon has a side of 4. 

[tex] \frac{4}{20} = \frac{x}{28} [/tex]

[tex]20*x= 4*28 [/tex]

[tex]20x=112[/tex]

[tex]x= 5.6 [/tex]

The corresponding side of the larger polygon is 5.6. 

I hope this helps!
~kaikers

Final answer:

The corresponding side of the larger polygon is 5.6 units, found by setting up a proportion between the sides and the perimeters of the similar polygons. Scaling a square's side length by 2 makes its area 4 times larger, reflecting the square of the scale factor.

Explanation:

To solve the problem of finding the corresponding side of the larger polygon, we must use the property that the perimeters of similar polygons are proportional to their corresponding sides. Given that the perimeters are 20 for the smaller polygon and 28 for the larger one, we can set up a proportion to find the length of the corresponding side.

Let x be the length of the corresponding side in the larger polygon. The ratio of the perimeters is the same as the ratio of any pair of corresponding sides. Since we have a side of the smaller polygon being 4, we would set up the proportion as follows:

4 / x = 20 / 28

Cross-multiplying to solve for x, we have:

4 x 28 = 20 x x

112 = 20x

x = 112 / 20

x = 5.6

Therefore, the corresponding side of the larger polygon is 5.6 units. In the context of squares, when scaling a square by a factor of 2, the area increases by the square of the scale factor. If the smaller square has a side of 4 inches, the larger square will have a side length of 8 inches. Hence, the area of the larger square is 64 square inches (8x8), which is 4 times larger than the area of the smaller square which is 16 square inches (4x4).

Paul is going to buy a collectible vintage painting from the local art gallery. The painting is priced at $600 in the gallery. The gallery owner does accept credit cards but pefers cash. In fact, he offers to give Paul a 5% discount if he can pay in cash. Paul doesn’t have any cash but can get a cash advance on his credit card. His credit card has and APR f 16% in credit purchases and a 32% APR on cash advances. Assuming Paul wants to pay the painting off over 12 months, which of the following is true?

Answers

Given:Painting priced at $600.
If paid using credit card and in installment basis.$600 x 16% = $96 interest on credit card balance$600 + $96 = $696 total debt$696 ÷ 12 months = $58 monthly payments
If paid using cash from cash advance.$600 x 5% discount = $30$600 - $30 = $570$570 x 32% = $182.40 interest on cash advance$570 + $182.40 = $752.40$752.40 ÷ 12 months = $62.70 monthly payment
It is cheaper for Paul to buy the painting using his credit card. He will only pay $58 per month on his credit card provider compared to the $62.70 monthly bill if he used cash advance.

Hope this helped☺☺

Answer:

Answer ended up being "B" just finished the test and this is one i got wrong, however it lets you see the correct answer, which again was option "B"

Step-by-step explanation:

i gotta write some words here my guy. good luck tho

Anyone have the proper answer to this?

Answers

The translation rule used here is (x+2 , y+4).

So the image of (-7,3) will be:

(-7+2 , 3+4)
(-5 , 7)

So the answer is (-5,7).

Hope this helps :)


Write the standard equation for the circle.
center (-6 9) r=3
A. (X-9)^2+(y+6)^2=9
B. (X+6)^2+(Y-9)^2=3
C. (X-6)^2+(Y+9)^2=3
D. (X+6)^2+(Y-9)^2=9

Find the center and radius of the circle with equation (x+2)^2+(y+10)2=4
A. Center (-2, -10); r=2
B. Center (2, 10); r=4
C. Center (-2, -10); r=4
D. Center (10, 2); r=2

What is the equation of the fircle with center 3,5 that passes through the point (-4, 10)?
A. (x-3)^2 + (y-5)^2 = 226
B. (x+4)^2 + (y-10)^2 = 74
C. (x+4)^2 + (y-10)^2 = 226
D. (x+3)^2 + (y-5)^2 = 74

What is the equation of the circle with center (0,0) that passes through the point (5,-4)?
A. x^2 + y^2 = 41
B. (x+4)^2 + (y+4)^2 = 41
C. (x-5)^2 + (y+4)^2 = 9
D. x^2 + y^2 = 9

Answers

The equation of the circle with center (h, k) and radius r is
.. (x -h)^2 +(y -k)^2 = r^2

1. selection D matches the specification of the circle

2. selection A matches the given equation

3. None of the offered selections matches
.. (x -3)^2 +(y -5)^2 = 74

4. selection A matches the requirements

Can someone do question 3 by showing step by step solutions

Answers

The question is asking for the largest possible area

BUT it only gives you details on the perimeter of the fence. One of the sides of the area enclosure will be used from his fence and he has a maximum of 1,000 meters available for a perimeter... So the first step is to set up a perimeter equation and solve for the dimensions, before solving the max area problem

The equation for the perimeter will be:
2 (Width) + 1 (Length) =  1,000 m
Theres only 1 length being included in the equation because the fence the farmer has will be used instead of the building materials.

Solving for Length =
L = 1,000 m - 2 Width

Now using this equation (and replacing the L) into Area of a rectangle:
Length * Width = (1,000 m - 2 W) * W =

Area = - 2(W^2) + 1,000 W 

Now that we have the area, there are a few methods to find the maximum amount. Using calculus we can find the derivative of the function and solve for critical points to find extrema points and find the absolute maximum area.

You can also solve this using algebra by factoring this function because its a quadratic and then you can solve for the highest values.   y = -2x^2 +1000x 
=  -2x(x + 500)  where x = 0 and -500

Checking at x = -1,  y(-1) = 998

***** EDIT *****

Sorry, the question is only asking for the dimensions of the fence. Its not asking for you to solve the actual maximum size.

The dimensions would be 2 Width x Length

Janey bought a used bicycle for $640. the bike was 3 years old when she bought it, and cost $850 new. assuming it decreases in value by the same amount each year, write a linear equation for the value of the bicycle, v, when it is t years old (so t = 0 was when it was new).

Answers

The first thing we must do in this case is to define the variables.
 We have then:
 v: the value of the bicycle
 t: years
 The standard equation of the line is:
 v-vo = m (t-to)
 The slope is:
 m = (v2-v1) / (t2-t1)
 Substituting values:
 m = (640-850) / (3-0)
 m = -70
 We choose an ordered pair:
 (to, vo) = (0, 850)
 Substituting values:
 v-850 = -70 (t-0)
 Rewriting:
 v = -70t + 850
 Answer:
 
assuming it decreases in value by the same amount each year, a linear equation for the value of the bicycle, v, when it is t years old is:
 
v = -70t + 850

A playground is being designed where children can interact with their friends in certain combinations.

If there is 1 child, there can be 0 interactions.
If there are 2 children, there can be 3 interactions.
If there are 3 children, there can be 12 interactions.
If there are 4 children, there can be 39 interactions.

Which recursive equation represents the pattern?

an = an – 1 + 3(n – 1)

an = an – 1 + 3(n – 1)

an = an – 1 + (3n – 1)

an = an – 1 + (n – 1)3

Answers

From your situations given:
If there is 1 child, there can be 0 interactions. 
If there are 2 children, there can be 3 interactions. 
If there are 3 children, there can be 12 interactions. 
If there are 4 children, there can be 39 interactions. 

The equation would be an = an – 1 + 3(n – 1)

Answer:

[tex]a_n=a_{n-1}+3^{n-1}[/tex]

Step-by-step explanation:

It is given that

If there is 1 child, there can be 0 interactions.

If there are 2 children, there can be 3 interactions.

If there are 3 children, there can be 12 interactions.

If there are 4 children, there can be 39 interactions.

It means we have,

[tex]a_1=0, a_2=3, a_3=12, a_4=39[/tex]

We need to find the recursive equation that represents the pattern.

[tex]a_2=3\Rightarrow 0+3=a_1+3[/tex]

[tex]a_3=12\Rightarrow 3+9=a_2+3^2[/tex]

[tex]a_4=39\Rightarrow 12+27=a_3+3^3[/tex]

Similarly,

[tex]a_n=a_{n-1}+3^{n-1}[/tex]

Therefore, the required recursive formula is [tex]a_n=a_{n-1}+3^{n-1}[/tex].

i need help PLEASEEEEEEEEEE!:P Susan is paying $0.30 per $100 on her $483,000 home in homeowners insurance annually. If her annual homeowners insurance premium is divided into twelve equal monthly installments to be included on each of her monthly mortgage payments of $2128.00, what is her total monthly payment?
a.
$2,248.75
b.
$2,409.75
c.
$3,381.00
d.
$3,577.00

Answers

We first need to figure out how much insurance Susan pays annually. For every $100, she pays 30 cents. Well, let's pretend that we have her entire home's value in 100 dollar bills. There will be 4830 bills. On each of those bills, she will pay 30 cents. If we multiply .30 x 4830 we get $1449. This is how much she pays all year- to find out how much she pays each month, we divide by 12. This gives us 120. 75. We include this on her monthly mortgage payment: 120.75 + 2128 and we get A) 2248.75.

6.2 practice a 6th grade

Answers

U need to practice what you have trouble with

A product transformation _____.
multiplies coordinates to transform the image
combines the coordinates of multiple transformations
finds the result of combining multiple transformations
uses a scale factor to multiply coordinates of the image

Answers

The answer is 'D' because a transformation needs to have a pattern. Only A and D have a pattern to them and B and C don't because they are random every time. It's not A because it doesn't specify what you multiply the coordinates by.

Answer:

The answer is C

Step-by-step explanation:

Other Questions
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