Hans invests $550 at a rate of x% per year compound interest. At the end of 10 years, the value of the investment is $638.30, correct to the nearest cent.
Find the value of x.

Answer:

Step-by-step explanation:

Instead of working with the plane, we work with a spear in spiritual geometry, therefore all of the plane's notions are the same as the spear's. Three lines would be required to draw a triangle. We can't adjust the size of these circles to make a triangle bigger. So, in this situation, a line is defined as what I would term a "great circle," meaning it is always the same size as the sphere's radius. As a result, even if we only moved one of them, the angles of the others would shift.

both of the approaches are going fine for me so far. all of the subjects that I've learned have been easy-going and easy to understand. if I had to choose which one was easier for me, I would choose Euclidean. Mostly because it's easier than Analytical as well as it's not hard to solve for the data that was given to me. With Analytical, it's harder to establish a correspondence between geometric curves and algebraic equations.

For an acute angle, if the opposite side is known, the opposite side is known and the adjacent side is unknown. If the adjacent side is known, the adjacent side is known and the opposite side is unknown. For a right angle, the lengths of the adjacent and opposite sides can be determined, while the hypotenuse is unknown.

The known side and unknown side in a right triangle can be determined by using the known angle.

If the known angle is the acute angle and we know the length of the side opposite to it, then the opposite side is known and the adjacent side is unknown. The hypotenuse can also be determined using the Pythagorean theorem.

If the known angle is the acute angle and we know the length of the side adjacent to it, then the adjacent side is known and the opposite side is unknown. The hypotenuse can be determined using the Pythagorean theorem.

If the known angle is the right angle (90 degrees), then the lengths of the two sides adjacent and opposite to it can be determined. The hypotenuse is unknown.

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The statement "the expected value of an unbiased estimator is equal to the parameter whose value is being estimated" is true.

An estimator is a function of the sample data used to estimate the value of a population parameter. An estimator is said to be unbiased if its expected value is equal to the true value of the population parameter. In other words, if we were to repeatedly take samples from the population and calculate the estimator for each sample, the average value of the estimator over all the samples would be equal to the true value of the population parameter. The expected value of an unbiased estimator is a key property because it ensures that the estimator is not systematically overestimating or underestimating the population parameter. Instead, the estimator provides an unbiased estimate of the population parameter on average across all possible samples. It is important to note that not all estimators are unbiased. Biased estimators may systematically overestimate or underestimate the population parameter, leading to incorrect conclusions. Therefore, unbiasedness is a desirable property for an estimator to have.

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Answer:

V(0)=$537,000

b=0.83

t=9

v (9)=100,386.92

Value after 9 years of depreciation at 17% per year

b = 1- r

b = 1 - 17% b = 0.83

Step-by-step explanation:

V (t)=V(0) (b)^t

V (t) future value ?

Vo present value $537,000

b=0.83

T time =9 years

V (9)=537,000×(0.83)^(9)

v (9)=100,386.92

Value after 9 years of depreciation at 17% per year

b = 1- r

b = 1 - 17% b = 0.83

The inverse of the transpose of matrix A is equal to the transpose of the inverse of matrix A.

To verify that the inverse of A transpose (A^T) is equal to the transpose of the inverse of A (A^-1), we can use the multiplication rule for transposes, which states that (CD)^T = D^T * C^T.

Let's assume that A is an invertible matrix. We want to show that (A^T)^-1 = (A^-1)^T.

First, let's take the inverse of A^T:

(A^T)^-1 * A^T = I,

where I is the identity matrix.

Now, let's take the transpose of both sides:

(A^T)^T * (A^T)^-1 = I^T.

Simplifying the equation:

A^-1 * (A^T)^T = I.

Since the transpose of a transpose is the original matrix, we have:

A^-1 * A^T = I.

Now, let's take the transpose of both sides:

(A^-1 * A^T)^T = I^T.

Using the multiplication rule for transposes, we have:

(A^T)^T * (A^-1)^T = I.

Again, since the transpose of a transpose is the original matrix, we get:

A * (A^-1)^T = I.

Now, let's take the transpose of both sides:

(A * (A^-1)^T)^T = I^T.

Using the multiplication rule for transposes, we have:

((A^-1)^T)^T * A^T = I.

Simplifying further, we get:

A^-1 * A^T = I.

Comparing this with the earlier equation, we see that they are identical. Therefore, we have verified that the inverse of A transpose (A^T) is equal to the transpose of the inverse of A (A^-1).

In conclusion, (A^T)^-1 = (A^-1)^T.

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Answer:

please mark me as brainliest

The expression that can be added to both sides of the given quadratic equation to change it to a perfect square trinomial is \(\frac{b^2}{4a^2}\) .

The standard form of perfect square trinomial is given as:

\(ax^2 + bx + c\)

here,

a = coefficient of x² .

b = coefficient of x.

c = constant .

Given the quadratic equation:

\(x^2 + \dfrac{b}{a}x\ +\ ?= -\dfrac{c}{a}\ +\ ?\)

The above equation is needed to be changed to a perfect square trinomial.

To change the quadratic equation into the perfect square, the squared of half the value of the coefficient of degree one variable can be added to both sides of the equation.

Therefore, the term to be that is needed to be added to the given quadratic equation is \(\frac{b^2}{4a^2}\) .

Now, the quadratic equation can be written as:

\(x^{2} + \frac{b}{a} x + \frac{ b^{2}}{4a^{2}} = \frac{-c}{a} + \frac{ b^{2}}{4a^{2}}\)

Therefore, \(\dfrac{b^2}{4a^2}\) should be added to both sides to convert it into the perfect polynomial.

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The given question is incomplete. Probably the complete question is:

When deriving the quadratic formula by completing the square what expression can be added to both sides of the given equation to create a perfect square trinomial?

\(x^2 + \dfrac{b}{a}x\ +\ ?= -\dfrac{c}{a}\ +\ ?\)

The angle x in the diagram is 98 degrees.

When parallel lines are cut by a transversal line, angle relationships are formed such as corresponding angles, alternate interior angle, alternate exterior angles, vertically opposite angles, same side interior angles etc.

Therefore, let's find the angle of x using the angle relationships as follows:

The size of the angle x can be found as follows:

82 + x = 180(same side interior angles)

Same side interior angles are supplementary.

Hence,

82 + x = 180

x = 180 - 82

x = 98 degrees

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Answer:

Yes, it is a direct variation. If the ordered pairs form a direct variation, the rate of change is constant and the ratio of y over x is constant. The rate of change, or constant of variation, is 0.5.

Step-by-step explanation:

That's the sample, I put:

Yes, a direct variation is when the ratio of y/x is constant and the rate of change is constant. In this example, the rate of change is seen as .50.

Answer:

a reference to the rate of change

a reference to the ratio of y over x

the constant of variation as 0.5

Step-by-step explanation:

Answer:

36%

Step-by-step explanation:

The total number of cars is 50 and 18 were manufactured before 1945

Let's set up a fraction

18/50

A percent should be out of 100 so let's change the denominator to 100

18/50 (times 2 for 18 and 50 to get 50 to 100)= 36/100

36/100 is 36%

OR

divide 18 by 50 because the fraction line is like a division symbol

that equals 0.36, times 100 to get 36%

two groups of five objects which are arranged in different ways is called permutations.

Two groups of five objects that are arranged in different ways can be referred to as permutations or combinations, depending on whether the order of the objects matters.

Permutations: If the order of the objects matters, the arrangement is called a permutation. In this case, the arrangement of the objects is significant.

Combinations: If the order of the objects doesn't matter, the arrangement is called a combination. Here, only the presence or absence of the objects matters, not their sequence.

To determine whether you're dealing with permutations or combinations, consider whether the order of the objects in each group is important for the specific problem or scenario.

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the answer is (a) 30.To find the first term that appears in both sequences, we can simply compare the terms in each sequence until we find a match

what is sequence ?

In mathematics, a sequence is a set of numbers, called terms, arranged in a specific order. Each term in the sequence is obtained by applying a certain rule or formula to the preceding term(s) in the sequence.

In the given question,

Using Rule 1, we can create the first sequence:

10, 30, 90, 270, 810

Using Rule 2, we can create the second sequence:

58, 51, 44, 37, 30

To find the first term that appears in both sequences, we can simply compare the terms in each sequence until we find a match.

We see that the number 30 appears in both sequences as the fifth term of the second sequence and the second term of the first sequence.

Therefore, the answer is (a) 30.

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The correct answer is B) an equation of the best-fit line of data can be used to estimate untested values.

The equation of the best-fit line of data can be calculated by determining the slope (m) and the y-intercept (b) of the line. It is calculated by using the linear regression equation: y = mx + b, where m is the slope and b is the y-intercept. The slope is determined by the equation: m = (Σxy)/(Σx2). The y-intercept is determined by the equation: b = (Σy - mΣx)/n. Once these values are determined, it is possible to estimate untested values with the equation of the best-fit line. For example, if we have a graph with data points (2, 3) and (4, 7), the equation of the best-fit line would be y = 2x + 1. This equation can be used to estimate the value of y when x = 6; in this case, y = 11.

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The given expression '5 × (2 + 4) = 6' can solve the problem (C).

So, 5 × (2 + 4) = 6:

(A) To solve the situation (A), the expression will be:

(B) To solve situation (B), the expression will be:

(C) To solve the situation (C), the expression will be:

Therefore, the given expression '5 × (2 + 4) = 6' can solve the problem (C).

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The correct question is given below;
Which problem could be solved with the expression

5 × (2 + 4) = 6?

Choose 1 answer:

A. Khai, the dog, ate 2 bones on Monday, 4 bones on Tuesday, and 6 bones on Wednesday. On Thursday, she ate 5 times more bones than the other days combined. How many bones did Khai eat on Thursday?

B. Hayden made 2 bracelets before school and 4 after school each day for 5 days. Then he split the bracelets into 6 equal groups. How many bracelets did Hayden have in each group?

C. Shadi is building a new back deck. He puts 2 nails and 4 screws in each board. He did this to 5 boards. How many total screws and nails did he use?

Answer: C. Hayden made 2 bracelets before school and 4 after

school each day for 5 days. Then he split the

bracelets into 6 equal groups. How many bracelets

did Hayden have in each group?

Step-by-step explanation:

Given linear inequalities is solved using graph paper line will pass through (6,0) and (-0,4) Area where required linear inequalities is satisfied is towards origin.

let's first try to understand  what is linear inequalities?

A linear inequality in mathematics is an inequality involving a linear function. One of the symbols for inequality is found in a linear inequality. It displays non-equal data in graph style.

the linear inequality's graph Since the inequality is severe and the shaded region points in the direction of the origin, 2 x-3 y < 12 is a straight line passing through the points (6, 0) and (0, -4), with the line being dot-dotted.

x - coordinate of the given line 2x - 3y =12

y =0 2x = 12 x = 6 (6,0)

y - coordinate of the given line -3y = 12 y = -4  (0,-4)

line passes through (6,0) and (0,-4).

Given Question is incomplete complete Question here:

How do you graph linear inequalities 2x - 3y< 12?

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The scenario modeled in the given graph is option A. A ball is dropped and bounces on the ground before stopping.

Any item launched into space with just gravity acting on it is referred to as a projectile. Gravity is the main force affecting a projectile. This doesn't imply that other forces don't affect it; it merely means that their impact is far smaller than that of gravity. A projectile's trajectory is its route after being fired. A projectile is something that is launched or hit, as a baseball.

When a ball is thrown from a certain height it bounces off the ground continuously until it comes to a stop. When the movement of such a ball is traced we obtain the above graph.

Hence, option A is correct.

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Chloe wants to buy a hoodie that costs $\$32.75$. She empties her wallet and finds she only has three $\$10$ bills, eight quarters, and a pile of dimes. Thus, she needs at least 8 dimes to be able to pay for the hoodie. She needs at least 8 dimes in her pile so she can pay for the hoodie.

We are required to find the minimum number of dimes that must be in her pile so she can pay for the hoodie. Let us start the solution with the conversion of the given $\$10$ bills into dollars.The three $\$10$ bills are worth $\$30$ in total. She needs $\$2.75$ to be able to pay for the hoodie. To avoid having any extra cents left, we should use only quarters and dimes in this purchase. Let d be the number of dimes needed.Then, the number of quarters needed is equal to (275 − 10d)/25. Since the number of quarters is given to be 8, we can use this to form the equation: (275 − 10d)/25 = 8Multiplying both sides of the equation by 25, we have:275 − 10d = 200d = (275 − 200)/10= 7.5She needs at least 7.5 dimes to pay for the hoodie, which is not possible.

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The minimum number of dimes that must be in her pile so she can pay for the hoodie is 297 dimes.

Given that Chloe wants to buy a hoodie that costs 32.75.

She empties her wallet and finds she only has three $10$ bills, eight quarters, and a pile of dimes.

We need to find the minimum number of dimes that must be in her pile so she can pay for the hoodie.

In order to solve this, we first need to convert the given amount into cents.

Since, there are three $10 dollar bills, then the total amount of money Chloe has is:

\($\text{Total money}= 3 \times 10 + 8 \times 25 = 305$\) cents

Chloe needs 3275 cents to pay for the hoodie.

Therefore, the minimum number of dimes that must be in her pile so she can pay for the hoodie is:

\($\frac{3275 - 305}{10} = 2970/10 = \boxed{297}$\) dimes.

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1999, is the smallest value of n for which Sₙ( sum of sequence terms ) >10000.

The best way to solve this problem is to write down the series and try to find out some pattern follows by terms , hopefully you can find a pattern (for example, you have a repeating series of numbers).

4, 7, 1, 8, 9, 7, 6, 3, 9, 2, 1, 3, 4, 7, 1, 8, 9, 7, 6, 3, 9, 2, 1, 3, … You can see that the sequence (4, 7, 1, 8, 9, 7, 6, 3, 9, 2, 1, 3) is repeated. There are 12 numbers in this sequence, and their sum is 60.

Divide 10,000 by 60, we get

10,000 = 60 * 166 + 40, so there are 166 sets and we need more than 40 numbers in total. Requires at least 12 x 166 = 1992 numbers and some numbers totaling over 40. Now, we have to add starting from 4, 7 such that some of adding terms reach the number >40.

4 + 7 + 1 + 8 + 9 + 7 + 6 = 42 > 40, so we need 7 more numbers. So, the total number needed for Sn > 10,000 is

1992 +7 = 1999.

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Answer:

x = 20

Step-by-step explanation:

\(\frac{10}{x}\) = \(\frac{x}{40}\)

We cross-multiply and get

400 = \(x^{2}\)

\(\sqrt{400}\) = \(\sqrt{x^{2} }\)

x = 20

So, the answer is x = 20

Answer:

x = –1

Step-by-step explanation:

From the question given above, the following data were obtained:

y = √(–2x + 7)

y = 3

x =?

The value of x can be obtained as follow:

y = √(–2x + 7)

3 = √(–2x + 7)

Take the square of both side

3² = –2x + 7

9 = –2x + 7

Collect like terms

9 – 7 = –2x

2 = –2x

Divide both side by –2

x = 2 / –2

x = –1

Answer:

cosine

Step-by-step explanation:

Answer:

cosine

Step-by-step explanation:

cosine = adjacent / hypotenuse

To calculate the time it would take for an object to fall from the edge of the tabletop to the floor, we can use the y-direction displacement formula:

y = voy*t + (1/2)*ay*\(t^2\)

Where:

y = displacement (which is the height of the tabletop)

voy = initial velocity (which is 0 since the object is at rest initially)

ay = acceleration in the y-direction (which is the acceleration due to gravity, approximately -9.8 m/\(s^2\))

t = time

Since we are given the displacement (height of the tabletop), we can rearrange the formula and solve for t:

y = (1/2)*ay*\(t^2\)

Simplifying:

2y/ay =*\(t^2\)

Taking the square root of both sides:

t = sqrt(2y/ay)

Now, substitute the given values:

ay = -9.8 m/\(s^2\)) (acceleration due to gravity)

y = 0.52 m (displacement or height of the tabletop)

t = sqrt(2*0.52/-9.8)

Calculating the time:

t ≈ 0.323 seconds

Therefore, it would take approximately 0.323 seconds for any object to fall from the edge of the tabletop to the floor.

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Answer:

1.6

Step-by-step explanation:

Answer:

1.6% hope this helps a little

Step-by-step explanation:

Answer:

not similar

Step-by-step explanation:

hope it help

Answer:

4.718592

Step-by-step explanation:

To get to -14.4 from 18 you multiply 18 x 0.8

Repeat that until you get to the 7th term

18 (1st)

18 x 0.8 = -14.4 (2nd)

-14.4 x 0.8 = 11.52 (3rd)

11.52 x 0.8 = 9.216 (4th)

9.216 x 0.8 = 7.3728 (5th)

7.3728 x 0.8 = 5.89824 (6th)

5.89824 x 0.8 = 4.718592 (7th)

option A

To detrmine the correct graph, let's find the factors of the function given:

To get the factors equate the function to zero, that is y = 0

The graph with two x intercepts as 2 and -6 will be the correct quadratic function

Each unit on the graph is 4 units

From the options, option A has x intercepts as 2 and -6

Answer:

Step-by-step explanation:

12.718 units

Step-by-step explanation:

The coordinates of the vertices of parallelogram WXYZ are given to be W(0,-1), X(4,0), Y(3,-2) and Z(-1,-3).

So, the perimeter of the parallelogram will be 2(WX + XY) {Since opposite sides of parallelogram are same in length}

Now, length of WX =  units,  To find the units click this link :

https://tex.z-dn.net/?f=%5Csqrt%7B(-1)%5E%7B2%7D%20%2B%204%5E%7B2%7D%20%7D%20%3D%20%5Csqrt%7B17%7D%20%3D%204.123

And, length of XY =  units, To find the units click this link :

https://tex.z-dn.net/?f=%5Csqrt%7B(4-3)%5E%7B2%7D%20%2B%20(0-(-2))%5E%7B2%7D%7D%20%3D%20%5Csqrt%7B5%7D%20%3D%202.236

Therefore, the perimeter of the parallelogram WXYZ = 2(4.123 + 2.236) = 12.718 units. (Answer)

The actual amount of snowfall is 4.2 inches.

Percent error is the difference between estimated value and the actual value in comparison to the actual value and is expressed as a percentage.

Expected amount: 3 inches.

Actual amount: x inches.

Percentage error = (x- 3)/3 *100%

40= (x- 3)/3 *100%

0.4*3= x-3

1.2 = x-3

x= 4.2 inches.

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Answer:

x < -4

Step-by-step explanation:

2(-3x - 4) > 16

-6x - 8 > 16

-6x > 16 + 8

-6x > 24

-x > 4

x < -4

Answer:

x < -4

Step-by-step explanation:

2(-3x - 4) > 16

Distribute.

-6x - 8 > 16

Add 8 to both sides.

-6x > 24

Divide by -6. When dividing by a negative, flip the sign.

x < -4.

Answer: USE A APP CALLED AIR MATH IT HELPED ME ALOT YOU TAKE A PICTURE

Step-by-step explanation: