The value of a stock increases by 8% each year.
1. Explain why the stock value does not increase by 80% each decade.
2. Does the value increase by more or less than 80% each decade?

Answer:

7.8

Step-by-step explanation:

1. 5^2 +6^2=x^2

2. 25+36 = x^2

3. 61=x^2

4. \(\sqrt{61}\) = 7.8

Answer: Rizza got a profit of Php 67.20---B

Step-by-step explanation:

Profit  = Selling Price  - Cost Price

But

Selling price =Php10.00 x 24=240Php

Cost Price =Php172.80

Therefore,

Profit=Php240 -Php172.80

=Php 67.20

Answer:

188.52cm^2

Step-by-step explanation:

Given data

Height= 7cm

Radius= 3cm

The expression for the surface area of a cylinder is given as

Surface area=  2πr (h + r)

Surface area= 2*π*3 (7 + 3)

Surface area = 6π (10)

Surface area= 60*3.142

Surface area= 188.52cm^2

Hence the surface area is 188.52cm^2

Answer:

5 points

Step-by-step explanation:

because yes

The square of the length of the chord that is a common external tangent of the other two circles with radii of 3 and 6 is 45.

Given that circles of radii 3 and 6 are externally tangent to each other and internally tangent to a circle of radius 9. The circle of radius 9 has a chord that serves as a common external tangent for the other two circles. The task is to find the square of the length of this chord.

The distance between the centers of the circles of radii 3 and 6 can be found by adding their radii: d1 = 3 + 6 = 9 units.

Since the circles are internally tangent to the circle of radius 9, the distance between their centers can be found by subtracting their radii from the radius of the larger circle: d2 = 9 - 3 - 6 = 0 units.

The chord is a common external tangent of the circles, and its length can be found by doubling the distance between the center of the circle of radius 9 and the chord: Chord length = 2 × h.

To find the height (h) of the triangle formed by the chord and the center of the circle of radius 9, we can use the formula h = (r1 + r2 - R) / 2, where r1 and r2 are the radii of the smaller circles, and R is the radius of the larger circle. In this case, h = (3 + 6 - 9) / 2 = 0.
Since h is zero, it means that the chord passes through the center of the circle of radius 9. Therefore, its length will be the diameter of the circle of radius 9.

The square of the length of the chord can be found using the Pythagorean theorem. Let's denote the length of the chord as d.

- We know that r1 + h = R, so h = R - r1 = 9 - 3 = 6.

- Using the Pythagorean theorem: d = sqrt(R² - h²) = √(9² - 6²) = √(81 - 36) = √(45).

Therefore, the square of the length of the chord is d^2 = 45.

In summary, the square of the length of the chord that serves as a common external tangent for the circles of radii 3 and 6, and is internally tangent to a circle of radius 9, is 45.

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Answer:

111

Step-by-step explanation:

Multiply the number by two and then add the number right before it.

3*2+2=8

8*2+3=19

19*2+8=46

46*2+19=111

and so on.

Answer:

  They represent positive and negative numbers.

Step-by-step explanation:

The 19 circles are possible within the same center and not more than 18 units.

The radius of each circle must be different if we wish to draw many circles around a single Centre point.

We can draw a circle with a radius of 18 units that is centered at (-3, 8) to make the largest circle feasible because each circle can have a maximum radius of 18 units.

We can create a circle with simply the Centre point if we assume that the radius is 0. (-3, 8).

We can continue this process, increasing the radius by 1 unit each time, until we reach a radius of 18 units. Therefore, we can draw 19 circles in total, including the circle of radius 0 units.

Therefore, the 19 circles are possible within the same center and not more than 18 units.

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1. 12a²b² + -7a²b² + 9a²b²

= 14a²b² (the terms a²b² are like terms so don't look at them, just add 12 + (-7) + 9.

= 14 (ab)² (you can write like this too because both a & b are squared).

2. y² - (-5y²)

= 6y² (subtract -5 from 1, y² is the like term).

Answer:

X and y are the variables in the expression

Step-by-step explanation:

Variables are letters that represent an unknown value

For example, x + 4 = 7

In this equation, x is the variable because it is letter representing the unknown value

⇒ In 7x+ 4y+1 , x and y are the variables in the expression

Answer:

The answer is 11.6.

Pan tool do the data analyst use to select the area on the map representing Finland.    

A data analyst is working with the world happiness data in table. To use Pan tool to select the area on the map representing Finland.

A data professional examines data to uncover critical insights about a company's consumers and how the data may be utilized to address problems. They also share this information with corporate executives and other stakeholders.

Pan allows us to shift the map to focus on it or present the areas in the way we wish. Simply pick the Pan Option and move the map around to suit your needs. Alternatively, you may move the map by holding down the Shift key.

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The probability that 34% or more of a random sample of 200 residents from a particular community will be living in poverty is expected to be less than 50%.

The population proportion of residents living in poverty is reported as 29%. To determine the probability, we compare this population proportion with the desired sample proportion of 34%. Since 0.34 is greater than 0.29, the probability of observing this outcome is expected to be lower. Furthermore, the sampling distribution is approximately Normal, implying a symmetric distribution around the population proportion.

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Answer:

\(n=-\frac{16}{3} (or) -5\frac{1}{3}\) (or) -5.3 repeating

Answer:

first one is -16

second is -4

I'm what the third is

a) The range is 14.

b) The sample variance is 20.78.

c) The sample standard deviation is 4.56.

a) Range

The range of a given set of data values is the difference between the maximum and minimum values in the set. In this case, the maximum value is 15 and the minimum value is 1. So, the range is:

Range = maximum value - minimum value

Range = 15 - 1

Range = 14

b) Sample variance

To calculate the sample variance, follow these steps:

1. Calculate the sample mean (X). To do this, add up all of the data values and divide by the total number of values:

n = 9

∑x = 7 + 4 + 6 + 12 + 8 + 15 + 1 + 9 + 13 = 75

X = ∑x/n = 75/9 = 8.33

2. Subtract the sample mean from each data value, square the result, and add up all of the squares:

(7 - 8.33)² + (4 - 8.33)² + (6 - 8.33)² + (12 - 8.33)² + (8 - 8.33)² + (15 - 8.33)² + (1 - 8.33)² + (9 - 8.33)² + (13 - 8.33)² = 166.23

3. Divide the sum of squares by one less than the total number of values to get the sample variance:

s² = ∑(x - X)²/(n - 1) = 166.23/8 = 20.78

Therefore, the sample variance is 20.78 (rounded to two decimal places).

c) Sample standard deviation

To calculate the sample standard deviation, take the square root of the sample variance:

s = √s² = √20.78 = 4.56

Therefore, the sample standard deviation is 4.56 (rounded to two decimal places).

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Answer:

are congruent

Step-by-step explanation:

If two polygons are congruent, then they have the same area.

Two polygons are congruent if their corresponding sides and angles are congruent. Note: Two sides are congruent if they have the same length and angles are congruent if they have the same measure. We indicate that angles are congruent by putting the same number of slash marks through each angle.

First of all, the modular inverse of n modulo k can only exist if GCD(n, k) = 1.

We have

130 = 2 • 5 • 13

231 = 3 • 7 • 11

so n must be free of 2, 3, 5, 7, 11, and 13, which are the first six primes. It follows that n = 17 must the least integer that satisfies the conditions.

To verify the claim, we try to solve the system of congruences

\(\begin{cases} 17x \equiv 1 \pmod{130} \\ 17y \equiv 1 \pmod{231} \end{cases}\)

Use the Euclidean algorithm to express 1 as a linear combination of 130 and 17:

130 = 7 • 17 + 11

17 = 1 • 11 + 6

11 = 1 • 6 + 5

6 = 1 • 5 + 1

⇒   1 = 23 • 17 - 3 • 130

Then

23 • 17 - 3 • 130 ≡ 23 • 17 ≡ 1 (mod 130)

so that x = 23.

Repeat for 231 and 17:

231 = 13 • 17 + 10

17 = 1 • 10 + 7

10 = 1 • 7 + 3

7 = 2 • 3 + 1

⇒   1 = 68 • 17 - 5 • 231

Then

68 • 17 - 5 • 231 ≡ = 68 • 17 ≡ 1 (mod 231)

so that y = 68.

The degree of financial leverage for Foggy Futures Weather Forecasters

is 1.06

Degree of Financial leverage (DFL) = (EBIT) / (EBT)

Earnings Before Interest and Taxes (EBIT) = $750,000

Amount to be given as loan on $1000000

$1,000,000 x 4.5% = $1,000,000 x 4.5/100

= $45000

To find EBT ( Earnings Before Tax),

EBT = EBIT - 45000

       = 750000 - 45000

EBT = 705000

∴ DFL =  (EBIT) / (EBT)

          = 750000/705000

 DFL = 1.06

The DFL is a percentage that accountants and financial professionals use to show changes in a company's net income due to changes in its profits before interest and taxes (EBIT).

Earnings before interest and taxes (EBIT) is a measurement of a company's profit in accounting and finance that takes into account all revenues and costs (both operating and non-operating), with the exception of interest costs and income tax costs.ve

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Answer:

B) c=25

Step-by-step explanation:

7^2+24^2=25^2

Answer:

the minimum value of the given function is -4

It is important to consider the nature of the skewness in the population and how it may affect the validity of the results.

Yes, if the sample size is large enough, you can use a t-test to test the null hypothesis. However, it is important to ensure that the assumptions of the t-test are met, such as normality of the sample distribution and homogeneity of variance. In a sample selected from a skewed population, if you want to test the null hypothesis, you can use the t-test under certain conditions. If the sample size is sufficiently large (usually greater than 30), the Central Limit Theorem comes into play, allowing the use of the t-test despite the population being skewed. However, if the sample size is small, it is advised to use non-parametric tests, like the Wilcoxon Rank-Sum test, as the t-test may not provide accurate results for skewed populations with small sample sizes.

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Answer:

42/100

Step-by-step explanation:

it displays the computed sum and product of the diagonal elements.

Here's a MATLAB code to find the sum and product of the diagonal elements of a given matrix `A`, as well as an example execution for `A = ones(5)`:

```matlab

% Define the matrix A

A = ones(5);

% Get the size of the matrix

[n, ~] = size(A);

% Initialize variables for sum and product

diagonal_sum = 0;

diagonal_product = 1;

% Calculate the sum and product of diagonal elements

for i = 1:n

   diagonal_sum = diagonal_sum + A(i, i);

   diagonal_product = diagonal_product * A(i, i);

end

% Display the results

disp("Sum of diagonal elements: " + diagonal_sum);

disp("Product of diagonal elements: " + diagonal_product);

```

Example execution for `A = ones(5)`:

```

Sum of diagonal elements: 5

Product of diagonal elements: 1

```

In this example, `A = ones(5)` creates a 5x5 matrix filled with ones. The code then iterates over the diagonal elements (i.e., elements where the row index equals the column index) and accumulates the sum and product. Finally, it displays the computed sum and product of the diagonal elements.

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Answer:

see explanation

Step-by-step explanation:

cosM = \(\frac{adjacent}{hypotenuse}\) = \(\frac{MN}{LM}\) = \(\frac{8}{17}\)

sinM = \(\frac{opposite}{hypotenuse}\) = \(\frac{LN}{LM}\) = \(\frac{15}{17}\)

tanM = \(\frac{opposite}{adjacent}\) = \(\frac{LN}{MN}\) = \(\frac{15}{8}\)

Answer:

The flagpole is 24 feet tall hope it helps

Answer:

a. The possible dimensions of the total area are;

The width of the total area is (2·x + 8) inches

The length of the total area is (2·x + 10) inches

b. The dimensions of the photos are as follows;

The length of the photos are 10 inches

The width of the photos are 8 inches

Step-by-step explanation:

a. Given that the area, A = 4·x² + 36·x + 80

We get;

A = 4 × (x² + 9·x + 20) = 4 × (x + 4) × (x + 5) = (2·x + 8)·(2·x + 10)

Therefore, the possible dimensions of the total area (photo + mat) are;

The width of the total area (photo + mat) = (2·x + 8) in.

The length of the total area (photo + mat) = (2·x + 10) in.

b. The dimensions of the photos alone are shorter than the dimensions of the photo and mat combined by 2·x each

Therefore, we have the dimensions of the photos are as follows;

The length of the photo = (2·x + 10) in. - 2·x in. = 10 in.

The width of the photos = (2·x + 8) in. - 2·x in. = 8 in.

Answer:

I believe it's B

Step-by-step explanation:

Using the given information in the diagram, we have proven that sin(B)/b = sin(C)/c

From the question, we are to prove that sin(B)/b=sin(C)/c

Consider the right triangle with sides a, c, and h

Using SOH CAH TOA, we can write that

sin(B) = h/c

∴ h = c × sin(B) --------- (1)

Also,

Consider the other right triangle

Using SOH CAH TOA, we can write that

sin(C) = h/b

∴ h = b × sin(C) ---------- (2)

Equate equations (1) and (2)

That is,

c × sin(B) = b × sin(C)

This can then be expressed as

sin(B)/b = sin(C)/c

Hence, the given expression is proven as shown above

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Given:

Amount in the savings account = 4300

Each week, Raul pays the dog sitter 30 from his savings account.

To find:

The function, f(x), that is equal to the amount of money in the account after Raul pays the dog sitter each week.

Solution:

Let x be the number of weeks.

Raul pays the dog sitter in 1 week = 30

Raul pays the dog sitter in x week = 30x

Remaining amount = Initial amount - Amount he pays the dog sitter

\(f(x)=4300-30x\)

Therefore, the required function is \(f(x)=4300-30x\).