Mathematics College

Gabriela's monthly take-home pay is $2800, and her monthly rent is $700. If both her monthly take-home pay and her rent increase by $210, what percentage of Gabriela's take-home pay will be used to pay rent?

Answers

Answer 1
Gabriela spends about 30% of her take home pay on rent.
Answer 2

Answer:

30.23%

Step-by-step explanation:

Gabriela's monthly take-home pay  = $2,800

Her monthly rent = $700

if her monthly take-home pay and her rent increase by $210.

Her monthly take-home pay would be = 2800 + 210 = $3,010

Her monthly rent would be = 700 + 210 = $910

Now we have to calculate the percentage of Gabriela's take-home pay used to pay rent.

[tex]\frac{910}{3010}[/tex] × 100

= 0.3023 × 100

= 30.23%

Gabriela's take-home pay will be used 30.23% to pay rent.

Related Questions

Brandon sights a helicopter above a building that is 200 feet away at an angle of elevation of 30 degrees. To the nearest foot, How high above the ground the is the helicopter

Answers

The problem says that Brandon sights a helicopter above a building that is 200 feet away at an angle of elevation of 30 degrees. So, you can calculate the height asked, by following this procedure:

 Tan(α)=Opposite leg/Adjacent leg

 α=30°
 Opposite leg=x
 Adjacent leg=200 feet

 When you substitute these values into the formula above (Tan(α)=Opposite leg/Adjacent leg), you have:

 Tan(α)=Opposite leg/Adjacent leg
 Tan(30°)=x/200
 
 You must clear "x":

 x=200xTan(30°)

 Therefore, the value of "x" is:

 x=115 feet

 How high above the ground the is the helicopter?

 The answer is: 115 feet

Find the value of the expression below.log5 2 + log5 10 - log5 4 A.0 B.1 C.3 D.2

Answers

[tex]\bf \textit{logarithm of factors}\\\\ log_a(xy)\implies log_a(x)+log_a(y) \\\\\\ \textit{Logarithm of rationals}\\\\ log_a\left( \frac{x}{y}\right)\implies log_a(x)-log_a(y)\\\\ -------------------------------\\\\ log_5(2)+log_5(10)-log_5(4)\implies log_5(2)+\left[log_5\left( \cfrac{10}{4} \right) \right] \\\\\\ log_5(2)+log_5\left( \cfrac{5}{2} \right)\implies log_5\left[(2)\left( \frac{5}{2} \right) \right]\implies log_5(5)\implies 1[/tex]

The solution to the expression log₅ ( 2 )+ log₅( 10 ) - log₅( 4 ) is 1. Option B is correct.

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

The expression is calculated as:-

E = log₅ ( 2 )+ log₅( 10 ) - log₅( 4 )

Use Logarithmic property Loga(x / y ) = Loga(x) - Loga(y)

E = log₅ ( 2 ) + log₅( 10 / 4 )

Use Logarithmic property Loga(x y ) = Loga(x) + Loga(y)

E = log₅  [ 2 x ( 10 / 4 ) ]

E =   log₅ ( 5 ) = 1

Therefore, the solution to the expression log₅ ( 2 )+ log₅( 10 ) - log₅( 4 ) is 1. Option B is correct.

To know more about Expression follow

https://brainly.com/question/723406

#SPJ2

Write a number sentence that compares 3/5 and 5/6

Answers

To compare 3/5 and 5/6th we need to convert them to a common denominator so if we multiply their denominators we get 5x6 = 30 but we must multlply the numerator by the same number so 3/5 = 18/30th and 5/6 = 25/30 so we see that 25/30 is greater than 18/30th or then 5/6 is greater than 3/5.

solve 3y − 7 = y + 5 and explain each step please so i understand

Answers

3y − 7 = y + 5

So first, make sure you have a variable on one side only.  Just subtract y from both sides.

2y - 7 = 5

Now, isolate the variable by adding 7 on both sides (inverse operations) to cancel the negative 7.

2y = 12

Finally, divide by the coefficient of the variable, in this case, 2.

y = 6

That's your answer (y = 6)!  Hope this helped! 


What you must do for this case is the clearance of the unknown y.
 We have then:
 Step 1:
 (3y - 7) - y = (y + 5) - y
 Step 2:
 2y-7 = 5
 Step 3:
 (2y-7) + 7 = (5) +7
 Step 4: 
 2y = 12
 Step 5:
 y = 12/2
 y = 6
 Answer:
 y = 6

How do you check your answer for volume of a cylinder? Desperate need of answering

Answers

1. Make sure you're using the correct formula for the dimensions given. The usual formula gives volume in terms of radius and height. If you are given the diameter, the formula will be different, or you need to compute the radius before you use the formula.

2. Make sure you're using the appropriate value for π. Many calculators have the value built-in. Many problems posted on Brainly require the use of 3.14, which will give different answers. (One recent problem required the use of 3.) If your calculator doesn't have π built in, a reasonable value is 355/113, which is good to 7 significant figures.

3. Make sure the units you are using are compatible (generally, all the same). If your height is in one unit (say inches) and your diameter is in another unit (say centimeters), you need to do units conversion before you put the numbers in the formula. The result of putting your units in the formula with your numbers should be that you end up with units cubed. For example, for a radius of 2 cm and a height of 3 cm, the volume will be
.. V = π(2cm)^2*(3 cm) = 12π cm^3.

4. Compare the dimensions and the volume to things you know. You know the approximate size of a gallon jug, a 2 liter pop bottle, a 5-gallon bucket. Check your answer for reasonableness.

5. Make an estimate based on the dimensions. Round to 1 or 2 significant figures and make a guess as to the approximate result you should get. For this, you can use 3 for π, as you just want to be "somewhere in the ballpark" as opposed to being off by a factor of 10 or more. This requires a certain amount of number sense and knowledge of multiplication tables.

6. Make certain your calculator is being used correctly. If parentheses are involved, make sure you enter the closing parentheses--as opposed to letting the calculator put them in according to its own rules. If division or fractions are involved, make sure you have parentheses around the denominator in every case. 1/2*3 ≠ 1/(2*3) It can be helpful to use a calculator that shows you what it did. (The Google calculator does that, for example.)

7. Sometimes, it helps just to do the calculation twice (possibly in a different order). Inadvertent error can creep in even when you think you're paying attention.

8. If you're doing the math by hand, make use of all available techniques for checking your arithmetic.

find the values of x and y in the following equation. (x + yi) + (4 + 9) = 9 -4i

Answers

we have that

if the expression is  (x + yi) + (4 + 9) = 9 -4i
x+13=9-----------> x=9-13-------------> x=-4
yi=-4i----------- > y=-4

the solution is
x=-4
y=-4

if the expression has a typing error and it is really (x + yi) + (4 + 9i) = 9 -4i
then
x+4=9------------> x=9-4-------< x=5
y+9=-4-------------> y=-4-9 ------------> y=-13
the solution is
x=5
y=-13

Final answer:

In this question we solve the given complex number equation. By comparing real and complex components on both sides of the equation, we find the values satisfying the equation are x = 5 and y=-13.

Explanation:

In this complex number equation, we must solve for x and y: (x + yi) + (4 + 9) = 9 -4i. Begin by simplifying the left side of the equation, to give (x + 4 + yi +9i) = 9 - 4i. This further simplifies to (x + 4) + (y + 9)i = 9 -4i.

Now we can see that the real component of the equation (x + 4) must equal the real component on the other side of the equation (9), and the complex component of the equation (y + 9)i must equal the complex component -4i. Setting these equal gives x + 4 = 9 and y + 9 = -4.

Solving these gives x = 5 and y = -13, which are the values for x and y satisfying the equation.

Learn more about Complex Numbers here:

https://brainly.com/question/20566728

#SPJ3

Help me find the surface area of a triangular prism with work please

Answers

Asked and answered elsewhere.
https://brainly.com/question/8958442

find the volume of the cylinder 13mm and 16mm answer choices

A. 16,990
B. 8,491
C. 4,247
D. 2,369

Answers

The volume of the cylinder of a radius of 13mm and a height of 16mm

is, B. 8491 mm³.

What is a cylindrical shape?

A cylinder is a three-dimensional solid object with two bases that are identically circular and are connected by a curving surface that is located at a specific height from the center.

Examples of cylinders are toilet paper rolls and cold beverage cans.

The volume of a cylinder is πr²h.

Curved surface area = 2πrh.

Total surface area = 2πr(h + r).

Given, The cylinder has a radius of 13mm and a height of 16mm.

Therefore, The volume of this cylinder is,

= π×(13)²×16 mm³.

= 8,490.56 mm³.

Q. find the volume of the cylinder having a radius of 13mm and a height of 16mm answer choices.

A. 16,990

B. 8,491

C. 4,247

D. 2,369

learn more about cylinders here :

https://brainly.com/question/16134180

#SPJ1

A gardener wants to run a border around the outside of her garden. She plots it on a grid to plan how much she will need. The garden is in the shape of a rectangle with vertices at (3, 9) (5, 9) (3, 3) (5, 3). Find the total length of border needed. 8ft 12ft 16ft 24ft

Answers

1. To solve this exercise you must plot the vertices of the rectangle: (3,9);(5,9); (3,3); (5,3). The graph is shown in the figure attached.

 2. As you can see in the graph, the rectangle has 6 feet long  (L=6 feet) and 2 feet wide (W=2 feet).

 3. Then, the perimeter of the rectangle is:

 P=2L+2W

 4. When you substitute the values of "L" and "W" into P=2L+2W, you obtain:

 P=2(6 feet)+2(2 feet)
 P=12 feet+4 feet
 P=16 feet

 Therefore, the total length of border needed is 16 feet.

Final answer:

The perimeter of a rectangle with the vertices given by the student is found by adding twice the length and twice the width, resulting in a total border length needed of 16 feet.

Explanation:

The student is asking about calculating the perimeter of a rectangular garden using the coordinates of its vertices. To find the total length of border needed, we look at the coordinates (3, 9), (5, 9), (3, 3), and (5, 3) given for the rectangle. The distance between two points on the same vertical line, like (3, 9) and (3, 3), is the absolute difference of the y-coordinates, which is,

9 - 3 = 6 feet.

Similarly, the distance between two points on the same horizontal line, like (3, 9) and (5, 9), is the absolute difference of the x-coordinates, which is

5 - 3 = 2 feet.

Since a rectangle has two pairs of equal sides, the total perimeter is 2 times the length plus 2 times the width. Therefore, the total length of border needed is,

2 x 2 feet + 2 x 6 feet

= 4 feet + 12 feet

= 16 feet.

Please help me with questions 17, 18, 19

Answers

See the attached image for the answers

===========================================================
Problem 17

The fact that we have perpendicular diagonals means we either have a kite or a rhombus. We can't have a kite because the opposite sides are parallel. So that means the figure is a rhombus.

An alternative line of thinking is to break the figure into 4 triangles, and then prove each triangle to be congruent. This will show that all four sides are the same length (by CPCTC). So that's another way to see we have a rhombus.
===========================================================
Problem 18

A rectangle has congruent diagonals. Draw in the diagonals and then prove the triangles to be congruent using SAS. By CPCTC, the diagonals will be the same length. 
===========================================================
Problem 19

RP and VA are the first two letters of RPQ and VAQ respectively
RP/VA = 6/3 = 2/1

Similarly,
PQ/AQ = 8/4 = 2/1

The triangles are similar
The scale factor is 2:1

Javier bought 48 baseball cards at a hard sale. Of the cards, 3/8 were baseball cards. How many of the cards were baseball cards?

Answers

18 were baseball. 3/8 x 48 equals 18. 
48 ÷ 8 × 3 = 18

18 of the cards were baseball cards.

Hope this helps!

The area of circular garden is 530.66 feet2. What is the circumference of the garden? (Use 3.14 for .

Answers

[tex]\bf \textit{area of a circle}\\\\ A=\pi r^2\quad \begin{cases} r=radius\\ ------\\ A=530.66 \end{cases}\implies 530.66=\pi r^2 \\\\\\ \cfrac{530.66}{\pi }=r^2\implies \sqrt{\cfrac{530.66}{\pi }}=r \\\\\\ \textit{circumference of a circle}\\\\ C=2\pi r\qquad \implies C=2\pi \left( \sqrt{\cfrac{530.66}{\pi }} \right)[/tex]

Use the quadratic function to predict f(x) if x equals 8. f(x) = 25x2 − 28x + 585

Answers

when you replace x with 8 you get an answer of 1961, however if you solve the equation in quadratic form and don't replace x you get 14 +/- i [tex]14 \frac{+}{-} i\sqrt{14429} [/tex] divided by 25

Given: LM ∥ KN , KL ∥ NM LP = h­1 = 5 cm, MQ = h2 = 6 cm PKLMN = 42 cm Find: Area of KLMN

Answers

Answer:

  Area = 630/11 cm² = 57 3/11 cm²

Step-by-step explanation:

  Area = (5 cm)(KN) = (6 cm)(KL)

  Perimeter = 2(KN +KL) = 42 cm

So, ...

  KN = 1.2·KL . . . . divide the area equation by 5 cm

  1.2·KL +KL = 21 cm . . . . . divide the perimeter equation by 2

  KL = (21 cm)/2.2 . . . . . . . divide by the coefficient of KL

Substituting for KL in the area equation, we have ...

  Area = (6 cm)(21 cm)/2.2 = 630/11 cm²

A survey asked 10 boys and 10 girls how many hours they spent playing video games the previous week. The number of hours are given in the line plots.

Answers

where are the line plots

The data set with the greater range is (the girls).

The Median is ( Neither as the range is the same).

I Took The K12 Test

Can someone please help me with this ?

Answers

Answer:

E. 2i√5

Step-by-step explanation:

√-20 = (√-1)(√20) = i·(2√5) = 2i√5

How many kiloliters are 32,500 centiliters

Answers

There is 0.325 kiloliters 

What is the expression for the calculation double the product of 8 and 3

Answers

(8*3)2 is correct answer for your question
Final answer:

The expression for the calculation double the product of 8 and 3 is 2*(8*3). When calculated, it equals to 48.

Explanation:

The expression for the calculation double the product of 8 and 3 is represented by 2*(8*3). Here, the multiplication sign (*) denotes multiplying the quantities together. First, multiply 8 and 3 together to get 24, then double the result to get 48. This means that the expression 2*(8*3) equals 48.

Learn more about Mathematical Operations here:

https://brainly.com/question/12809457

#SPJ2

what ia 10 + 10 -10 x 5932

Answers

Hello,

The answer is "59,320"

Reason:

First write the equation:

10+10-10*5932

10+10=20

20-10=10

10*5392=53,920

=59,320

If you need anymore help feel free to ask me!

Hope this helps!

~Nonportrit

Answer:

The answer would be 59,320

Step-by-step explanation:

10+10 is 20

20-10 is 10

10x5,932 is 59,320

10 × 4 - 2 × (4² ÷ 4) ÷ 2 ÷ 1/2 + 9

Answers

47 should be your answer. 
41
____________________________________________

WORK :

Use PEMDAS

10 × 4 - 2 × (4² ÷ 4) ÷ 2 ÷ 1/2 + 9
10 x 4 - 2 x ( 4 ) ÷ 2 ÷ 1/2 + 9
40 - 8 ÷ 2 ÷ 0.5 + 9 
40 - 4 ÷ 0.5 + 9
40 - 8 + 9
32 + 9 = 41

A newborn child receives a ​$9,000 gift toward a college education from her grandparents. How much will the ​$9,000 be worth in 18 years if it is invested at 7.6% compounded​ quarterly? Round to the nearest cent.

Answers

[tex]\bf ~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\to &\$9000\\ r=rate\to 7.6\%\to \frac{7.6}{100}\to &0.076\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\to &4\\ t=years\to &18 \end{cases} \\\\\\ A=9000\left(1+\frac{0.076}{4}\right)^{4\cdot 18}\implies A=9000(1.019)^{72}[/tex]

​​5x−4y=−10
​−4x+5y=8
​​Solve System of equations

Answers

5y = 4x + 8 and y = 4x/5 + 8/5
   {5x−4y=−10  ⇒ 5x = 4y-10  ⇒  x=(4y-10)/5  ⇒  x = 0.8y - 2
​   {-4x+5y=8

-4(0.8y-2) + 5y = 8
-3.2y + 8 + 5y = 8
1.8y = 8 - 8
1.8y = 0
y = 0

5x−4·0=−10
5x = -10
x = -10/5
x = -2

Your answer is (-2, 0)

write 539,035 in expanded form

Answers

500,000 +30,000 +9,000 +0 +30 +5 
I hope this helps my friend and have a good day . 




500,000 + 30,000 + 9,000 + 0 + 30 + 5

For what interval is the function f(x) = (20 + \sqrt{x}) / (\sqrt{20 + x}) continuous?

Answers

Try this solution:
1. according to the condition
[tex] \left \{ {{x \geq 0} \atop {20+x\ \textgreater \ 0}} \right. \ =\ \textgreater \ \ x \geq 0.[/tex]
2. for more details see the attached graph.

Answer: [0;+oo)

PLEASE HELP 15pts
If f(4) = 7 and f'(4) = -2, f(3.97) = ?

Answers

Sounds like you're supposed to find the approximate value of [tex]f(3.97)[/tex] by using the linear approximation to [tex]f(x)[/tex]. That would be

[tex]f(3.97)\approx f(4)+f'(4)(4-3.97)=7-2(0.03)=6.94[/tex]

The value of function at x = 3.97 is 6.94 using linear approximation.

Linear approximation is a method that uses the derivative of a function at a given point to approximate the function's value at a nearby point.

Given:  f(4) = 7 and f'(4) = -2

The linear approximation formula is given by:

[tex]\[f(x) \approx f(a) + f'(a)(x-a)\][/tex]

where a is the known point is the known function value at a, f'(a) is the derivative of the function at a.

Substitute the known values into the formula:

[tex]\[f(3.97) = f(4) + f'(4)(3.97 - 4)\][/tex]

[tex]\[f(3.97) = 7 - 2(0.03)\][/tex]

[tex]\[f(3.97) =7 - 0.06\][/tex]

[tex]\[f(3.97) = 6.94\][/tex]

So, [tex]\(f(3.97) = 6.94\).[/tex]

Learn more about Function here:

https://brainly.com/question/31062578

#SPJ3

A scientist wants to find the radius, in meters, of this hemispherical dome. He found that the surface area of the entire sphere containing the dome is 682 square meters. Which equation could he use to find the dome's radius?

Answers

Answer:

[tex]r=\sqrt{\frac{682}{4\pi}}\ m[/tex]

Step-by-step explanation:

we know that

The surface area of a sphere is equal to

[tex]SA=4\pi r^{2}[/tex]

we have

[tex]SA=682\ m^{2}[/tex]

substitute and solve for r

[tex]682=4\pi r^{2}[/tex]

[tex]r^{2}=\frac{682}{4\pi} \\ \\r=\sqrt{\frac{682}{4\pi}}\ m[/tex]

Answer:

See below

Step-by-step explanation:

r^2=682 square meters ÷ 4π

what is the greatest common factor of 30 and 18

Answers

the answer should be 2*3

Hello there! :)

The GCF of 30 and 18 is 6.

STEPS:

List all the factors of 30 and 18:

18: 1, 2, 3, 6, 9, 18

30: 1, 2, 3, 5, 6, 10, 15, 30.

So the GCF is 6.

Hope this helps you!

~Just a felicitous girlie

#HaveAnAwesomeDay

[tex]SilentNature :)[/tex]

which of the following values of x makes the rational expression below undefined? x-25/x+13
a. 13
b. 0
c. 25
d. -13

Answers

x-25 / x + 13
 For this case what you should know is that an indefinite expression are those in which mathematically no numerical value can be obtained.
 We have then that a division between zero causes an expression to be undefined.
 For x = -13 we have:
 (-13-25) / (- 13 + 13) = - 38/0 (undefined)
 Answer:
 x = -13
 d. -13

Answer:

Option D

Step-by-step explanation:

We will check each option for the given expression (x-25)/(x+13)

(A). for x = 13

[tex](\frac{x-25}{x+13})=\frac{13-25}{13+13} =\frac{-12}{26}[/tex]

So expression is defined.

(B). for x = 0

[tex]\frac{x-25}{x+13}=\frac{0-25}{0+13} =(\frac{-25}{13})[/tex]

So expression is defined.

(C). For x = 25

[tex](\frac{x-25}{x+13})=\frac{25-25}{25+13} =0[/tex]

So expression is defined

(D). For x = -13

[tex]\frac{x-25}{x+13}=\frac{-13-25}{-13+13}=( \frac{-38}{0})[/tex]

Function is not defined.

Option D is the answer.

gabriel made 4 small meatloaves. he cut each meatloaf into fourths. how many 1/4 size pieces of meatloaf does gabriel have

Answers

He would have sixteen pieces.

convert negative 31 degrees Fahrenheit to Celsius.

Answers

Consider, pls, this option:
1. formula for conversion:
[tex]C= \frac{5}{9} (F-32);[/tex]
2. according to the formula:
C=(-31-32)*5/9=(-7)*5=-35°
Answer: -35°C.
Other Questions
What is the value of y in the parallelogram below? When 2 statements are connected with the word "or" it is called a? What is the relation between the graphs of f(x)=x^2 and g(x)=x^2+6?a.the graph of g(x) is a translation of the graph of f(x) up 6 unitsc.the graph of g(x) is a translation of the graph of f(x) right 6 unitsb.the graph of g(x) is a translation of the graph of f(x) left 6 unitsd.the graph of g(x) is a translation of the graph of f(x) down 6 units When you eat out and have $25 to spend, what information do you need to maximize your utility? The answer should be a fraction How to simplify algebraic expression 8z+4f-6 using z=3 and f=9 Define why change control management is relevant to security operations in an organization Which statement best describes the authors point of view about elizabeth van lew Easy money policy is _____. the belief that the money supply is the most important factor in macroeconomic performance monetary policy that increases the money supply the time it takes for monetary policy to have an effect monetary policy that reduces the money supply Define convoy system Matt wants to train his dog, buster, to sit on command. he gives buster a doggie biscuit each time buster sits when commanded, but only for the first 10 trials. he then changes the rules. buster now has to sit on command three times before he gets a biscuit. matt used _____ schedule first and then _____ schedule to train buster HELP ME ANSWER THIS QUESTION!Boyd (B) is trapped in a soccer training circle. Albert (A) and Carlos (C) kick the ball to Boyd in rotation. Determine how far Boyd needs to kick the ball to Carlos if he is located in the center of his training circle and Carlos is located at the outer rim. How do meiosis and fertilization account for the diversity of human traits? They allow for traits to be present in many different combinations. They allow for predictable outcomes from one generation to the next. Together they create a balance between what was separated in meiosis. Together they offset environmental factors that impact fertilization. Serena paid $194.99 for a game system and then bought two equally-priced games. If she spent a total of $284.97, what is the price, p, of one game? Enter your answer in the box. Is this statement true or false? If one-third of the senators vote guilty at the end of the trial, the official is convicted. A. True B. False During what war with Chile did Bolivia lose access to the sea, restricting their economic growth? Upper Peru War War of Independence Chilean-Boliva War War of the Pacific How does a web architect differ from a webmaster? A.A webmaster creates the basic website framework, while a web architect responds to customer queries after the website is up and running. B.A web architect creates the basic website framework, while a webmaster responds to customer queries after the website is up and running. C.A web architect creates the sketch boards that outline the vision of the website, while a webmaster creates the software that runs on the website. D.A webmaster creates the sketch boards that outline the vision of the website, while a web architect creates the software that runs on the website. Melina has 4 sheets of wacky face sticker individually from the sheet. She then divides them evenly into 3 piles to give to friends. How many stickers are in each pile? which of the following is equivalent to the polynomial below John bought 6 dumplings for $3.00.Let x represent the number of dumplings purchased, and let y represent the total cost.Graph the line that represents the proportional relationship.