7. Adrienne and her brother John each inherit $7,000 that they use to open savings accounts with
Adrienne's account earns 4.7% annual compound interest and John's account earns 4.7% annual
simple interest. Neither makes any additional deposits or withdrawals for 10 years.
a. Who's account will be worth more at the end of 10 years?
b. How much more will the account be worth?

A function increases if the output value of function increases on increasing the input value and the function decreses if the output value of function decreases on increasing the input value

As we know a function is nothing but a relation between input values and output values where each input has exactly one output.

Consider a function y = f(x)

For a given function if the value of y increases on increasing the value of x, then the function is an increasing function

If the y-value decreases on increasing the value of x, then the function is a decreasing function.

Another method is that if we need to determine whether a function f(x) is increasing or decreasing at point 'a'.

If a function is differentiable on an open interval, we calculate the derivative of function f(x)

If the derivative f′(x) > 0 on an open interval, then function f(x) is increasing on that interval.

If the derivative f′(x) < 0 on an open interval, then function f(x) is decreasing on that interval.

Therefore, if the output value of function increases on increasing the input value then the function is an increasing function and if the output value of function decreases on increasing the input value then the function is an decreasing function.

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Answer:

no images are available here

(Option D.) The Side-Side-Side (SSS) Theorem: If three sides of one triangle are congruent to three sides of another triangle, then the two triangles are congruent.

The Side-Side-Side (SSS) Theorem is a valid theorem to show that two triangles are congruent. This theorem states that if three sides of one triangle are congruent to three sides of another triangle, then the two triangles are congruent.

In other words, if all three of the sides of one triangle are equal in length to all three of the sides of another triangle, then the two triangles are identical in size and shape. This theorem is a fundamental building block of geometry, and is often used to prove the congruence of two triangles in proofs or mathematical arguments.

Since the question is not complete, here's the full task:

Which theorem is not a valid theorem to show that two triangles are congruent?

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The y-intercept of the equation 2x - y = -3 is 3 and in ordered pair form is (0,3).

The slope-intercept formula is expressed as;

y = mx + b

Where m is slope and b is y-intercept.

Given the equation in the question

2x - y = -3

First, we solve form for y and reorder in slope intercept form.

2x - y = -3

Subtract 2x from both sides

2x - 2x- y = -3 - 2x

- y = -3 - 2x

Divide each term by -1

y = 3 + 2x

Reorder in slope intercept form

y = 2x + 3

To find the y-intercept, replace x with zero and solve for y

y = 2(0) + 3

y = 3

Therefore, the y-intercept is 3.

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The box with a length 5 feet, and height of 2 feet can be stored underneath the ramp.

Dimensions are the measure of the length, width and height of a given object. Yes, a rectangular box of length 5 feet and height 2 feet can be stored underneath the ramp. The measure of the sides of a given object is referred to as its dimensions.

This can be with respect to its length, width, and height.It has been given that the height of the ramp is 39 inches. But,12 inches = 1 feetSo that,39 inches = x feet

make x the subject of the formula to have;

x = [tex]\frac{39}{12}[/tex]   = 3.25 feet

x = 3.25 feet

Thus the dimensions of the ramp are ;length = 12 feetheight = 3.25 feet

Therefore, the box with length 5 feet, and height of 2 feet can be stored underneath the ramp.

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Numbers that undergo rigid transformations are congruent. Congruent can always require precise changes even if you could conceive of them as forms that "appear exactly the same."

A "matching" figure is one that can be placed perfectly on another. The bread has the same size and form when it is stacked. Match refers to objects that are precisely the same size and form. If one of two geometric figures can be consistently overlaid on the other, they are said to be congruent or to be in a congruent relationship.

∠X = ∠Q

And, also

XY = PQ

XZ = RQ

Therefore,

ΔXYZ ≅ ΔPQR

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Areas of Circles are for [tex]490.873m^2[/tex] radius 12.5m, [tex]706.858m^2[/tex] for radius 15m, [tex]1256.637m^2[/tex] for radius 20m.

The region encircled by a circle with radius r is known as πr² in geometry. Here, the Greek letter stands for the constant proportion of a circle's circumference to its diameter, which is roughly equivalent to 3.14159.

This formula, which was first discovered by Archimedes, can be derived by considering the circle as the boundary of a series of regular polygons. A regular polygon's area is equal to half its perimeter times the distance from its center to its sides. The equivalent formula,  [tex]A=\frac{1}{2} *2\pi r*r[/tex] states that the area is equal to half the perimeter times the radius.

The limit for a circle is held by [tex]\pi r^{2}[/tex].

Given;

1) r=12.5m

[tex]A=\pi r^2=\pi (12.5)^2=490.873m^2[/tex]
2) r=15m;

[tex]A=\pi r^2=\pi (15)^2=706.858m^2[/tex]

3) r=20m;

[tex]A=\pi r^2=\pi (20)^2=1256.637m^2[/tex]

Areas of Circles are for [tex]490.873m^2[/tex] radius 12.5m, [tex]706.858m^2[/tex] for radius 15m, [tex]1256.637m^2[/tex] for radius 20m.

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Answer:

B. 2 x 6

Step-by-step explanation:

The expression doesn't have an equal sign, so C and D is wrong.

So, the correct answer is B

B is correct answer.

hope this helps! do mark me brainliest if you can tho <3

The Elementary Matrix E is [tex]\left[\begin{array}{ccc}1&0&0\\0&0&1\\0&1&0\end{array}\right][/tex].

We know that the Matrix

[tex]A = \left[\begin{array}{ccc}2&1&3\\-2&4&5\\3&1&4\end{array}\right] , B = \left[\begin{array}{ccc}2&1&3\\3&1&4\\-2&4&5\end{array}\right][/tex]

[tex]EA = B[/tex]

⇒ [tex]E = B A^{-1}[/tex]

[tex]A^{-1} = \frac{1}{|A|} \times \left[\begin{array}{ccc}A_{11}&A_{12}&A_{13}\\A_{21}&A_{22}&A_{23}\\A_{31}&A_{32}&A_{33}\end{array}\right][/tex]

[tex]|A| = \left|\begin{array}{ccc}2&1&3\\-2&4&5\\3&1&4\end{array}\right|[/tex]

[tex]= 2 \times4\times4-2\times5\times1 - 1\times(-2)\times4+1\times5\times3+3\times(-2)\times1 - 3\times4\times3\\= 32 -10+8+15-6-36 = 3[/tex]

[tex]A^{-1} = \frac{1}{3} \left[\begin{array}{ccc}11&-1&-7\\23&-1&-16\\-14&1&10\end{array}\right] \\A^{-1} = \left[\begin{array}{ccc}\frac{11}{3} &\frac{-1}{3}&\frac{-7}{3}\\\frac{23}{3}&\frac{-1}{3}&\frac{-16}{3}\\\frac{-14}{3}&\frac{1}{3}&\frac{10}{3}\end{array}\right][/tex]

[tex]\therefore E =\left[\begin{array}{ccc}2&1&3\\3&1&4\\-2&4&5\end{array}\right] \times \left[\begin{array}{ccc}\frac{11}{3} &\frac{-1}{3}&\frac{-7}{3}\\\frac{23}{3}&\frac{-1}{3}&\frac{-16}{3}\\\frac{-14}{3}&\frac{1}{3}&\frac{10}{3}\end{array}\right][/tex]

[tex]E = \left[\begin{array}{ccc}\frac{22+23-42}{3}&\frac{2+1-3}{3}&\frac{-14-16+30}{3}\\\frac{33+23-56}{3}&\frac{-3-1+4}{3}&\frac{-21-16+41}{3}\\\frac{-22+92-70}{3}&\frac{2-4+5}{3}&\frac{14-64+50}{3}\end{array}\right][/tex]

[tex]E = \left[\begin{array}{ccc}1&0&0\\0&0&1\\0&1&0\end{array}\right][/tex]

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Perceptual mapping conjoint analysis evaluative mapping regression analysis factor analysis.

Perceptual mapping or market mapping is a diagrammatic technique used by asset marketers that attempts to visually display the perceptions of customers or potential customers.

The positioning of a brand is influenced by customer perceptions rather than by those of businesses. For example, a business may feel it sells upmarket products of high quality, but if customers view the products as low quality, it is their views which will influence sales.

Perceptual maps, also known as market maps, usually have two dimensions but can be multi-dimensional or use multiple colours to add an extra variable.

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The multiplicity of 0 is the number of times that 0 appears as a root of a polynomial equation.

In other words, it is the number of times that 0 is a solution to the equation. For example, the equation x^2 - 4x + 4 has two solutions, 0 and 4. The multiplicity of 0 is therefore 2, since 0 is a repeated solution.

If a polynomial equation has only one 0 as a solution, the multiplicity of 0 is 1. In some cases, a polynomial equation may have no 0s as a solution, in which case the multiplicity of 0 is 0.

In general, the multiplicity of a number is the number of times it appears as a solution to a polynomial equation. For example, the equation x^2 - 2x + 8 has two solutions, 2 and 4. The multiplicity of 2 is 1, since 2 appears only once as a solution, while the multiplicity of 4 is 2, since 4 appears twice as a solution.

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__________________________________________________________

Hello! In this question, we are trying to find the percentage increase in Miss Meg's salary.

__________________________________________________________

Explanation:

From the question, we were provided the following information:

With this information, we will be able to find the percentage of increase in her salary.

__________________________________________________________

Solve:

To find Miss Meg's percentage salary increase, let us first calculate the difference between her new and initial salary.

$1760 - $450 = $1310

We now know that Miss Meg's salary increased by $1310

Using this information, we can then get her salary increase amount and divide it by her original salary.

$1310 ÷ $450 = 2.9111

Multiply 2.911 by 100 to get the decimal into percentage form to show us the percentage salary increase.

2.911 × 100 = 291.11%

This means that Miss Meg's percentage salary increase was 291.11%

__________________________________________________________

Answer:

[tex]\boxed{291.11\%}[/tex]

__________________________________________________________

The SAS states that two triangles that have two pairs of corresponding congruent sides and a pair of corresponding included congruent angles are congruent.

The RHS congruence criterion states that two right triangles that have a congruent pair of hypotenuses and a congruent pair of corresponding sides are congruent.

The SAS congruence criterion is a postulate that shows that if two triangles have two pairs of corresponding congruent sides and a pair of corresponding included congruent angles, then both triangles are equal or congruent to each other.

What is the RHS Congruence Criterion?

The RHS stands for "right angle-hypotenuse-side". This congruence criterion states if two right triangles have congruence hypotenuses and a pair of corresponding congruent sides, then the two right triangles congruent to each other.

In summary, SAS congruence criterion proves that two triangles with two pairs of corresponding congruent sides and a pair of corresponding included congruent angles are congruent, while the RHS congruence criterion proves that two right triangles are congruent if they have equal pair of hypotenuses and a congruent pair of corresponding sides.

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The equation for the total square yards of cloth she needs for both pillows is 314+112=426.

The total number of square yards of fabric Lea needs for both pillows is the sum of the fabric needed for the first pillow and the fabric needed for the second pillow. This can be represented by the expression:

314 square yards + 112 square yards = 426 square yards

Therefore, the expression that represents the total number of square yards of fabric Lea needs for both pillows is:

314 + 112 = 426

This expression would simplify to 426 square yards. This expression uses the addition operator (+) to add the two quantities of fabric that Lea needs for each pillow. The result is the total number of square yards of fabric that she needs for both pillows.

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The length of the third side of an isosceles triangle with sides 4 cm and 10 cm is 10 cm.

We know that in an isosceles triangle, two sides are equal.

One side of the triangle is 4 cm and the other is 10 cm.

Let us consider the third side to be 4 cm,

then 4 cm + 4cm = 8 cm and it is not greater than the third side 10 cm.

Hence, the third side cannot be 4 cm.

Then the third side can be 10 cm,

therefore, 4 cm + 10 cm = 14 cm > 10cm

and 10 cm + 10 cm = 20 cm > 10 cm.

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Using the formula of combination and probability theorem , The answer is b) 75.

Combinations are mathematical operations that count the number of potential configurations for a set of elements when the order of the selection is irrelevant.

The formula for combination is:

[tex]C(n,r) = \frac {n!}{r!(n-r)!}[/tex]

selecting 1 blue ball from 5 blue balls = C(5,1)

=5

selecting 2 orange balls from 6 balls = C(6,2)

=15

Total ways of selection = 5*15=75

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Therefore , for a regular polygon it must have four sides equal to be called as quadrilateral .

A closed quadrilateral is a form of polygon with four sides, four vertices, and four angles. It is made up of four linked non-collinear points. The sum of the internal angles of quadrilaterals is always 360 degrees..

Here,

Each of them has four vertices.

Each side has four sides.

360 degrees is the sum of all interior angles.

Two diagonals are present.

There are regular and irregular quadrilaterals.

An ordinary quadrilateral must have four equal sides, four equal angles, and diagonals that cross one another.

Therefore , for a regular polygon it must have four sides equal to be called as quadrilateral .

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[tex] - x {}^{2} - 36 \\ - (x {}^{2} + 36) \\ - (x {}^{2} - (6i) {}^{2} ) \\ - (x - 6i)(x + 6i) \\ ( - x + 6i)(x + 6i) \: \: or \: \: (x - 6i)( - x - 6i)[/tex]

Answer:

D: (-x-6i)(x-6i)

Step-by-step explanation:

(-x-6i) (x-6i)

-x^2 +6ix -6ix -36

-x^2 -36

So, D is the correct

Answer:

Based on the information provided, it can be conjectured that your cousin is 18 years old or older.

Step-by-step explanation:

Based on the information provided, it can be conjectured that your cousin is 18 years old or older.

Answer:

  F = 9/5C +32

Step-by-step explanation:

You want to rearrange C = 5/9(F-32) to make F the subject.

You can solve for F the same way you solve any similar 2-step equation:

  C = 5/9(F -32) . . . . . . given

  9/5C = F -32 . . . . . . . multiply by 9/5 (multiplication property of equality)

  9/5C +32 = F . . . . . . add 32 (addition property of equality)

The equation Josh can use to convert to °F is ...

  F = 9/5C +32

The slope of the line joining (0, f(0)) and (π, g(π)) is given as follows:

Undefined.

The slope of a linear function, given two points, is given as the division of the change in y by the change in x.

The numeric values for these functions are given as follows:

Hence the points are given as follows:

(0, undefined) and (π, 1).

The undefined point means that there is a vertical asymptote at x = 0, meaning that the change in y is undefined, and thus the slope of the function is also undefined.

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The probability that Milo selected either a science course or a math course is 7/19 (or 0.3684210526).

Using this strategy, Milo has a 36.84% chance of selecting either a science or math course. This strategy is highly risky and unreliable, as there is no guarantee that Milo will select a course he is interested in or capable of taking. Additionally, Milo has a 63.16% chance of selecting a course he may not be interested in or able to take. There is no assurance that Milo will succeed with this strategy, and it could put him at a disadvantage in his academic career. As such, it is not recommended that Milo use this strategy to register for classes.

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It is 6x^3 - 15x^2 - 2x - 5

Brainly pls have a nice day

Answer:

Step-by-step explanation:

The vector representing the path of the ship from port A to the refueling station has components <14, 23>, and the vector representing the path from the refueling station to port B has twice the magnitude as the vector from port A to the refueling station.

To find the characteristics of the vector representing the path of the ship from port A to port B, we can add the two vectors together.

The sum of two vectors <a, b> and <c, d> is given by <a+c, b+d>. Therefore, the vector representing the path of the ship from port A to port B is given by:

<14, 23> + 2*<14, 23> = <14+214, 23+223> = <42, 69>

The vector representing the path of the ship from port A to port B is <42, 69>. This vector has a magnitude of √(42^2 + 69^2) = √(1764 + 4761) = √(6525) = 81 and a direction given by the angle theta, where tan(theta) = 69/42.

I hope this helps! Let me know if you have any other questions.

Answer: D. components:LeftAngleBracket 28, 46 RightAngleBracket, magnitude: 53.85

Step-by-step explanation:

The process by which we can tell that if the inverse of the function is also a function is the Horizontal Line Test  .

The Inverse of the function is defined as a function, which can reverse into another function.

If the graph of the function does not pass the Horizontal Line Test, then the graphed function's inverse will not be a function; and  

If all horizontal lines cross at most one spot on the original graph, then the inverse of the function will be a function.

Therefore , the horizontal line test is used to check whether the inverse is a function or not .

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A line on a graph is a series of points connected by a straight line. It is used to show continuous change or a relationship between two variables.

A line on a graph is a visual representation of a continuous change or a relationship between two variables. It is made up of a series of points connected by a straight line, making it easy to compare changes in data over a period of time. The points on the line represent the values for the two variables being graphed, with the horizontal axis (x-axis) representing one variable and the vertical axis (y-axis) representing the other. The points on the line can be joined with either a straight line or a curved line, depending on the type of data being graphed. For example, a straight line will be used to show a linear relationship between two variables, while a curved line might be used to show a non-linear relationship. By examining the line, it is possible to determine the rate of change or the correlation between the two variables being graphed.

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Answer:

Step-by-step explanation:

AW=10

Step-by-step explanation:

In a parallelogram opposite sides are congruent meaning XA and AZ are congruent. YA and AW are congruent. So...

Solving for XA and AZ

XA=AZ

3m=5m-4

-2m=-4

m=2

If YW=10m then 10 x 2 = 20

20 divided by 2 = 10

99

There are a total of 50 odd numbers between 1 to 100.

1 is the smallest, odd number:

The sum of all the odd numbers from 1 to 100 is 2500.

The average or mean of all odd numbers 1 to 100 is 50.

[tex]\boxed{ 3 + 2 = 5, 5 + 2 = 7, 7 + 2 = 9}[/tex]

The last number in the chart of odd numbers 1 to 100 given below is 99, as, if we add 2 to 99, we will get 101 which is greater than 100. So, 99 is the last odd number in the list of odd numbers from 1 to 100.

Therefore, the odd integers from 1 to 100 is 99

A picture is given below of all the odd numbers of 1 to 100: