Can someone plzzzz helppp meee!!!

The rate can be obtained from the calculation that is done here as 2.8%

Compound interest refers to the interest earned on both the initial principal amount and the accumulated interest from previous periods. The compound interest rate is the annual rate at which the interest is compounded. It represents how frequently the interest is added to the account or investment.

We have to get two equations are follows;

658.20 =\(P(1 + r)^2\)--- (1)

710.89 = \(P(1 + r)^5\) ----(2)

Divide Equation 2 by Equation 1:

710.89 / 658.20 = (\(P(1 + r)^2\)/  \(P(1 + r)^5\))

r = \(1.0816^(1/3)\) - 1

r =  0.0277

r = 2.8%

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Value of equation T - 40 = 3 T equals to 43.

Equation is a declaration that two expressions with variables or integers are equal. In essence, equations are questions, and attempts to systematically identify the solutions to these questions have been the driving forces behind the creation of mathematics. Simple algebraic equations with merely addition or multiplication to differential equations, exponential equations with exponential expressions, and integral equations are examples of different types of equations. They are employed to represent a number of physics laws. also see equation system. Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Given

Equation

T - 40 = 3

Adding 40 on both sides,

T = 40 + 3

T = 43

Value of equation T - 40 = 3 is 43.

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The Values of (a+b)ab are undefined.

Given that, a = 3an and db = -2We need to find the values of (a+b)

Now, we have a = 3an... equation (1)Also, we have db = -2... equation (2)From equation (1), we get: n = 1/3... equation (3)Putting equation (3) in equation (1), we get: a = a/3a = 3... equation (4)Now, putting equation (4) in equation (1), we get: a = 3an... 3 = 3(1/3)n = 1

From equation (2), we have: db = -2=> d = -2/b... equation (5)Multiplying equation (1) and equation (2), we get: a*db = 3an * -2=> ab = -6n... equation (6)Putting values of n and a in equation (6), we get: ab = -6*1=> ab = -6... equation (7)Now, we need to find the value of (a+b).For this, we add equations (1) and (5),

we get a + d = 3an - 2/b=> a + (-2/b) = 3a(1) - 2/b=> a - 3a + 2/b = -2/b=> -2a + 2/b = -2/b=> -2a = 0=> a = 0From equation (1), we have a = 3an=> 0 = 3(1/3)n=> n = 0

Therefore, from equation (5), we have:d = -2/b=> 0 = -2/b=> b = ∞Now, we know that (a+b)ab = (0+∞)(0*∞) = undefined

Therefore, the values of (a+b)ab are undefined.

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Considering the lines e, f, and a, angles (x + 1)° and (x - 3)° are same side exterior angles, then they are supplementary, that is,

(x + 1) + (x - 3) = 180

(x + x) + (1 - 3) = 180

2x - 2 = 180

2x = 180 + 2

x = 182/2

x = 91

Considering the lines a, b, and e, angles (x + 1)° and y° are alternate side interior angles. Therefore, they are congruent, that is,

x + 1 = y

Substituting with the value of x:

91 + 1 = y

92° = y

Answer:

the answer is a

Step-by-step explanation:

Answer:

0.32997988is the correct answer

Step-by-step explanation:

I didn't round because I didn't know if it should be rounded

Hope this helps!

Have a good day.

Answer:

23.96g

Step-by-step explanation:

Make sure to thank me!!!

To find the measure of each angle, we need to use the formula for calculating the sum of angles in a polygon. The formula is:

sum of angles = (n - 2) x 180

where n is the number of sides of the polygon. This formula tells us that the sum of the interior angles of any polygon is equal to the product of the difference between the number of sides and two, and 180.

To find the measure of each angle in the polygon, we simply divide the sum of angles by the number of sides. The formula for finding the measure of each angle is:

measure of each angle = sum of angles / n

where n is the number of sides of the polygon. This equation is very useful in solving problems related to polygons, such as finding the measure of angles in regular polygons or finding the number of sides in a polygon when given the measure of each angle.

In conclusion, the equation for finding the measure of each angle in a polygon is the sum of angles divided by the number of sides. This formula helps us to solve problems related to polygons and find the measurements of angles in regular polygons.

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Answer:

X is right there

Step-by-step explanation:

See?

Answer:

the answer is 30

did it on apex

Step-by-step explanation:

Answer:

{x,y} = {2,1}

Step-by-step explanation:

[1]    8x + 9y = 25

[2]    -13x - 9y = -35

// Solve equation [1] for the variable  y  

 [1]    9y = -8x + 25

 [1]    y = -8x/9 + 25/9

// Plug this in for variable  y  in equation [2]

  [2]    -13x - 9•(-8x/9+25/9) = -35

  [2]    -5x = -10

// Solve equation [2] for the variable  x  

  [2]    5x = 10  

  [2]    x = 2  

// By now we know this much :

   x = 2

   y = -8x/9+25/9

// Use the  x  value to solve for  y  

   y = -(8/9)(2)+25/9 = 1

SOlution: {x,y} = {2,1}

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You make 25 dollars per day, where x is the number of days you work. Then, you get 100$ from your end-of-the-year bonus.

Answer:

2

Step-by-step explanation:

Answer:

x = 10

Step-by-step explanation:

All angles in a triangle must add up to 180. We know one angle is 68 and another is 90 because there is a right angle (which are always 90).

180 = 90 + 68 + (2x + 2)

180 = 158 + (2x + 2).      subtract 158 from both sides

22 = 2x + 2.     subtract 2 from both sides

20 = 2x.       divide both sides by 2

10 = x

Answer:

x = 10

Step-by-step explanation:

2x + 2 + 68 + 90 = 180

2x + 160 = 180

2x = 20

x = 10

Answer:

Step-by-step explanation:yes

In a four-page novel (about 2,000 words), you can expect to find approximately 100 words that have the form _ _ _ _ _ n _ (seven-letter words with "n" in the sixth position).

To estimate the number of words that have the form _ _ _ _ _ n _ (seven-letter words with "n" in the sixth position) in a four-page novel containing approximately 2,000 words, we need to make a few assumptions.

First, we assume that the words are evenly distributed throughout the novel. This means that each page contains roughly the same number of words.

Second, we'll consider that the length of the words in the novel varies, but for simplicity, we'll assume an average word length of five letters.

Now, let's break down the problem:

In a seven-letter word, with "n" fixed in the sixth position, we have one specific letter at a fixed position, leaving five remaining positions to be filled by any letter.

For each of the remaining five positions, there are 26 possible letters (assuming we consider only English letters).

So, the total number of possible seven-letter words with "n" in the sixth position is 26^5, which equals 118,813,760.

However, not all combinations of letters will form valid English words. To obtain a more realistic estimate, we can consider the frequency of words in the English language.

According to linguistic research and data, not all combinations of letters have the same likelihood of forming valid words.

Assuming an average English word length of five letters, we can estimate that roughly 20% of all possible combinations will form valid English words.

Applying this estimation, we can approximate the number of valid words with the desired form as 0.2 * 118,813,760, which equals approximately 23,762,752 words.

Now, to estimate the number of such words in a four-page novel of about 2,000 words:

We can assume that each page contains approximately 500 words (2,000 words / 4 pages).

To find the expected number of words with the desired form, we can multiply the number of words per page by the estimated proportion of valid words:

Expected number of words = 500 words/page * 23,762,752 words / 118,813,760 words = 100 words.

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Answer:269.6 square centimeters

Step-by-step explanation:

Answer:

-3, 3

Step-by-step explanation:

A.. the number of hours is a terminating decimal

Answer: Carlos pays $74.00

Step-by-step explanation:

103.6/56 = 1.85

40 x 1.85 = 74

Therefore, the ladder touches the house at a height of 28 feet above the ground.

A triangle is a geometric shape that consists of three straight sides and three angles. It is a polygon with three sides. The sides of a triangle are connected by its vertices or corners. The triangle is one of the simplest and most fundamental shapes in geometry, and it has many important properties and applications. Triangles have many practical applications in everyday life and in various fields, such as architecture, engineering, and physics. The study of triangles and their properties is an important part of mathematics and geometry.

Here,

We can use the Pythagorean theorem to solve this problem. The Pythagorean theorem states that in a right triangle, the sum of the squares of the lengths of the legs (the two shorter sides) is equal to the square of the length of the hypotenuse (the longest side, which is opposite the right angle). In this problem, the ladder, the side of the house, and the ground form a right triangle. The ladder is the hypotenuse, the distance from the house to the ladder is one leg, and the height we want to find is the other leg.

Let x be the height above the ground where the ladder touches the house. Then, using the Pythagorean theorem, we have:

x² + 21² = 35²

Simplifying and solving for x, we get:

x² + 441 = 1225

x² = 784

x = 28

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Answer:

-16

Step-by-step explanation:

a) Dijkstra's algorithm is a greedy algorithm used to find the shortest path from a source node to all other nodes in a graph.

It works by maintaining a set of unvisited nodes and their tentative distances from the source node. Initially, all nodes except the source node have infinite distances.

The algorithm proceeds iteratively:

Select the node with the smallest tentative distance from the set of unvisited nodes and mark it as visited.

For each unvisited neighbor of the current node, calculate the tentative distance by adding the distance from the current node to the neighbor. If this tentative distance is smaller than the current distance of the neighbor, update the neighbor's distance.

Repeat steps 1 and 2 until all nodes have been visited or the smallest distance among the unvisited nodes is infinity.

The algorithm guarantees that once a node is visited and marked with the final shortest distance, its distance will not change. It explores the graph in a breadth-first manner, always choosing the node with the shortest distance next.

b) Let's apply Dijkstra's algorithm to graph G1:

       2

   S ------ A

  / \      / \

 3   4    1   5

/     \  /     \

B       D       E

\     / \     /

 2   1   3   2

  \ /     \ /

   C ------ F

       4

The source node is S.

The numbers on the edges represent the distances.

Step-by-step execution of Dijkstra's algorithm on G1:

Initialize the distances:

Set the distance of the source node S to 0 and all other nodes to infinity.

Mark all nodes as unvisited.

Set the current node to S.

While there are unvisited nodes:

Select the unvisited node with the smallest distance as the current node.

In the first iteration, the current node is S.

Mark S as visited.

For each neighboring node of the current node, calculate the tentative distance from S to the neighboring node.

For node A:

d(S, A) = 2.

The tentative distance to A is 0 + 2 = 2, which is smaller than infinity. Update the distance of A to 2.

For node B:

d(S, B) = 3.

The tentative distance to B is 0 + 3 = 3, which is smaller than infinity. Update the distance of B to 3.

For node C:

d(S, C) = 4.

The tentative distance to C is 0 + 4 = 4, which is smaller than infinity. Update the distance of C to 4.

Continue this process for the remaining nodes.

In the next iteration, the node with the smallest distance is A.

Mark A as visited.

For each neighboring node of A, calculate the tentative distance from S to the neighboring node.

For node D:

d(A, D) = 1.

The tentative distance to D is 2 + 1 = 3, which is smaller than the current distance of D. Update the distance of D to 3.

For node E:

d(A, E) = 5.

The tentative distance to E is 2 + 5 = 7, which is larger than the current distance of E. No update is made.

Continue this process for the remaining nodes.

In the next iteration, the node with the smallest distance is D.

Mark D as visited.

For each neighboring node of D, calculate the tentative distance from S to the neighboring node.

For node C:

d(D, C) = 2.

The tentative distance to C is 3 + 2 = 5, which is larger than the current distance of C. No update is made.

For node F:

d(D, F) = 1.

The tentative distance to F is 3 + 1 = 4, which is smaller than the current distance of F. Update the distance of F to 4.

Continue this process for the remaining nodes.

In the next iteration, the node with the smallest distance is F.

Mark F as visited.

For each neighboring node of F, calculate the tentative distance from S to the neighboring node.

For node E:

d(F, E) = 3.

The tentative distance to E is 4 + 3 = 7, which is larger than the current distance of E. No update is made.

Continue this process for the remaining nodes.

In the final iteration, the node with the smallest distance is E.

Mark E as visited.

There are no neighboring nodes of E to consider.

The algorithm terminates because all nodes have been visited.

At the end of the algorithm, the distances to all nodes from the source node S are as follows:

d(S) = 0

d(A) = 2

d(B) = 3

d(C) = 4

d(D) = 3

d(E) = 7

d(F) = 4

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Answer: Its Easily B The Question Is Easy

Answer:

Option B

Step-by-step explanation:

PLATO.

The point (-2,2), we need to evaluate each case

In this case, for the real part we need to obtain -2

For the imaginary part, we need to obtain 2

As we can see the complex number that is shown in the graph is

ANSWER

A.

The required, in 2007 the price per gallon was 7b more than the price of a gallon of fuel in the year 2000. Where b is the inflation factor.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Let 'a' be the cost per gallon of fuel in the year 2000, and 'b' be the inflation rate per year. If the rate of inflation is constant then
After 7 year inflation = 7b
Cost of fuel in 2007 = a + 7b

Now,
according to the question
Change in cost of fuel
= cost in 2007 - cost in 2000
= a + 7b - a
= 7b

Thus, the required, in 2007 the price per gallon was 7b more than the price of a gallon of fuel in the year 2000. Where b is the inflation factor.

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