Each month, Mrs. Donovan sets aside $1,550 for her retirement. Her monthly income, including profits from her bakery, totals $3,875. What percentage of her income goes to retiremen

Answer:

Answer in image below :)

Step-by-step explanation:

Answer: (x^2-y^2) (x^2+y^2)  and  (x-y)(x+y)(x^2+y^2)

Step-by-step explanation:

Expand (x2 − y2) (x2 + y2) using the FOIL Method.

Apply the distributive property.

x^2 (x^2 + y^2 ) − y^2 (x^2 + y )

Apply the distributive property.

x^2 x^2 +x^2 y^2 - y^2 (x^2 y^2 )

Apply the distributive property.

x^2 x^2 + x^2 y^2 - y^2 x^2- y^2 y^2

Combine the opposite terms in x^2 x^2 + x^2  y^2 - y^2  x^2 - y^2 y^2.

Reorder the factors in the terms x^2 y^2 and − x^2 y^2.

x^2 x^2+ x^2 y^2 - x^2 y^2 - y^2 y^2

Subtract 2 2 from 2 2.

x^2 x^2+ 0 - y^2 y^2

Add 2  2 and 0.

x2 x2- y2 y2

Simplify each term.

Multiply x2 by x2 by adding the exponents.

x^4 − y^2y^2

x^4 − y^4

(x − y) (x + y) (x^2 + y^2)

Expand (x − y) (x + y) using the FOIL Method.

(x ⋅ x + xy − yx − y ⋅ y) (x^2 + y^2)

Combine the opposite terms in x ⋅ x + xy − yx − y ⋅ y.

(x ⋅ x − y ⋅ y) (x^2 + y^2)

(x^2 − y^2) (x^2 + y^2)

Expand (x^2 − y^2) (x^2 + y^2) using the FOIL Method.

Apply the distributive property.

x^2 (x^2 + y^2) − y^2 (x^2 + y^2)

Apply the distributive property.

x^2 x^2 + x^2y^2 - y^2 (x^2 + y^2)

Apply the distributive property.

x^2 x^2 + x^2 y^2 - y^2 x^2 - y^2 y ^2

Combine the opposite terms in x^2x^2 + x^2y^2 − y^2x^2 − y^2y^2.

x^2x^2 − y^2y^2

x^4 − y^4

please give me brainliest :)

Answer: HEYYYY

Step-by-step explanation:

Think you are cheating on a quiz, we are here to help people not to help people cheat on quizzes tho

Answer:

C

Step-by-step explanation:

Answer:

15 km?

Step-by-step explanation:

10 km per hour for one hour is 10km. plus the half hour, half of the distance 5km is just 15km

Answer:

C. 15.8

Step-by-step explanation:

√a²+b² =c²

√15²+5²=15.8²

BTW are you trying to sneek out. lol

*plz mark brainliest*

Answer:

The unknown angle is 65°

Step-by-step explanation:

Let the unknown angle be y

40°+75°+y = 180°

y = 180°-115°

y = 65°

Therefore, the unknown angle is 65°

Answer:

x=13, y=36

Step-by-step explanation:

y−2x=10

6x−2y=6  −2x+y=10

6x−2y=6

6x=2y+6

x=  1/6(2y+6)

x=1/3y+1

-2(1/3y+1)+y=10

-2/3y-2+y=10

1/3y=12

y=36

Substitute y  to check your answer

x=1/3*36+1

x=12+1

x=13

And to go further if you wish to check your answer you can substitute x

Answer:

9 minutes

Step-by-step explanation:

Rate of George's blinking:

85 / 15 = 17 blinks in 3 minutes

so after 51 blinks, 51 / 17 = 3, 3 x 3 = 9 minutes

Answer: 4.8 Newton’s

Step-by-step explanation:

Force = mass x acceleration

Answer:

the 0.2 kg ball was hit with 4 Newtons of force, which caused it to accelerate 20 meters per second, per second.

so 4 newtons

Answer:

B is your correct answer

Step-by-step explanation:

The image of point A on the graph of f⁻¹(x) has coordinates (x, y) = (3, 2).

The inverse of a function is a new function that "undoes" the original function. More formally, if a function f maps elements of a set X to elements of a set Y, and if there is a function g that maps elements of Y back to elements of X such that g(f(x)) = x for all x in X, then g is called the inverse of f.

First, we need to find the inverse of f(x) = 1/2x + 2. We can do this by switching x and y and solving for y:

x = 1/2y + 2

x - 2 = 1/2y

2x - 4 = y

So, the inverse function is f⁻¹(x) = 2x - 4.

Now, we can use the coordinates of point Ato find its image on the graph of f⁻¹(x).

Point A has coordinates (x, y) = (0, 2) since it lies on the graph of f(x) = 1/2x + 2. We want to find the image of this point on the graph of f⁻¹(x) = 2x - 4.

We can start by plugging in y = 2 into the equation for f⁻¹(x):

y = 2x - 4

2 = 2x - 4

6 = 2x

x = 3

So, the image of point A on the graph of f⁻¹(x) has coordinates (x, y) = (3, 2).

Learn more about Inverse of Function here:

https://brainly.com/question/2541698

#SPJ2

Answer:

Individual                     |

Population                   |

Community                  |

Ecosystem                   |

Biosphere                   V

Step-by-step explanation:

Answer:

population

community

ecosystem

biosphere

Answer:

A' = ( 0,4 )

B' = ( -3,6 )

C' = ( -4,3 )

Step-by-step explanation:

Transformation involves changing the coordinates of a shape.

The coordinates of △ABC after the glide transformation are [tex]A' = ( 0,4 )[/tex], [tex]B' = ( -3,6 )[/tex] and  [tex]C' = ( -4,3 )[/tex]

The coordinates of triangle ABC is given as:

[tex]A = (1,3)[/tex]

[tex]B = (4,5)[/tex]

[tex]C = (5,2)[/tex]

The glide reflection is given as: T⟨−1, 1⟩° Ry-axis

So, we start by translating the shape by (x - 1, y + 1).

The coordinate ABC becomes

[tex]A = (1 - 1, 3 + 1) = (0,4)[/tex]

[tex]B = (4 - 1, 5 + 1) = (3,6)[/tex]

[tex]C = (5 - 1, 2 + 1) = (4,3)[/tex]

Next, we reflect the coordinates across the y-axis.

The rule of this reflection is:

[tex](x,y) \to (-x,y)[/tex]

So, we have:

[tex]A' = ( 0,4 )[/tex]

[tex]B' = ( -3,6 )[/tex]

[tex]C' = ( -4,3 )[/tex]

Read more about transformation at:

https://brainly.com/question/1616371

Answer:

they ran 5 and 2 and half hour

Step-by-step explanation:

they ran 5 and 2 and half hour

The value of x from the figure is 4

From the figure given we are told that ABC ~ DEC. Hence to get the value of x we will use the relationship shown;

Cross multiply

25(2x) = 20(3x - 2)

50x = 60x - 40

50x - 60x =-40

-10x = -40

x = 4

Hence the value of x from the figure is 4

Learn more on similar triangles here; https://brainly.com/question/2644832

Answer:

3/5 for 13

Step-by-step explanation:

add 2 to the numerator and the denominator

Answer:

3 kilograms

Step-by-step explanation:

one is for liquids and the others are too small i think

If vertical angles are directly opposite each other and do not share a common side, therefore, two given angles cannot be both: D. vertical and adjacent.

Recall:

If two angles are said to be vertical when both angles are directly opposite each other and are also congruent or equal in measure.

Vertical angles share a common vertex or point but do not share a common side.

Adjacent angles share a vertex and a common side.

Thus, if vertical angles are directly opposite each other and do not share a common side, therefore, two given angles cannot be both: D. vertical and adjacent.

Learn more here:

https://brainly.com/question/16303608

Answer:

127 feet

Step-by-step explanation:

I did this already and I got it correct

Answer:

Its either 90 or 100

Step-by-step explanation:

Answer:

x is equal to four, and y is equal to negative eight.

Step-by-step explanation:

Let's solve it rearranging the first equation to define y:

9x + y = 28

y = 28 - 9x

Now we plug it in to the second equation:

3x + 3y = -12

3x + 3(28 - 9x) = -12

And solve for x:

3x + 84 - 27x = -12

-24x = -96

x = 4

Now we can plug that x value into one of the original equations to find the value of y

9x + y = 28

36 + y = 28

y = 28 - 36

y = -8

Let's test our answer by plugging that y value into the other equation, and seeing if we get the same x value:

3x + 3y = -12

3x + 3(-8) = -12

3x - 24 = -12

x - 8 = -4

x = 4

So we know our answer is correct.

9514 1404 393

Answer:

  3479

Step-by-step explanation:

Each year, the population is multiplied by 1 - 4.5% = 0.955. After 25 years, the population will have been multiplied by 0.955^25 ≈ 0.316289. At that time, the population will be approximately ...

  11000 · 0.316289 ≈ 3479

Step-by-step explanation:

By Exterior Angle Theorem, the sum of the 2 inner angles of the triangle is equal to the exterior angle by a straight line.

Therefore we have x + 72° = 90° + 34°.

=> x + 72° = 124°, x = 52°.

Hence the value of x is 52°.

Answer:

The two angles are alternate interior angles

Step-by-step explanation:

Here, we want to state the relationship between the two given angles

From the diagram, we can observe that these two angles are;

They are alternate interior angles

Answer:A

Step-by-step explanation:

If they both go down from 3 then it is 3 and then -infinity.

(this is my best answer without a picture, hope you get it right!)

Answer:

Max

Step-by-step explanation:

Since the vertex is on top and the graph is opening down, there is a max value at the top.

Answer:

[tex]\boxed {\boxed {\sf \$300.00}}[/tex]

Step-by-step explanation:

The formula for simple interest is:

[tex]I=P*R*T[/tex]

where P is the principal amount of money, R is the interest rate as a decimal, T is the time.

We know the principal amount is $2500, the interest rate is 6%, and the time is 2 years.

We must convert the interest rate to a decimal.

Now we know all the values.

[tex]P= 2500 \\R= 0.06 \\T= 2[/tex]

Substitute the values into the simple interest formula.

[tex]I= (2500)(0.06)(2)[/tex]

Multiply.

[tex]I=(2500)(0.12)\\I=300= \$ 300[/tex]

The simple interest is $300.00

[tex] \sf• \: Principle (p) = \$ \: 5200[/tex]

[tex] \sf• \: Rate \: of \: interest (r) = 6 \: \% = \frac{6}{100} [/tex]

[tex] \sf• \: Time \: (t) = 2 \: years[/tex]

[tex] \\[/tex]

[tex] \sf• \: The \: Simple \: Interest \: (I)[/tex]

[tex] \\ [/tex]

[tex] \sf We \: know \: that, [/tex]

[tex] \red {\bigstar\bf { \: I = prt}}[/tex]

[tex]⟹I = 2500 \times \frac{6}{100} \times 2[/tex]

[tex]⟹I = 300[/tex]

[tex] \\ [/tex]

[tex] \bf \blue{Hence, \: the \: \: Simple \: \: Interest \: \: is \: \: \$ \: 300. }[/tex]