The value of a new car in 2015 was 40,000 dollar. It depreciates each year by 7%. How much will the car be worth in 2026?

Container B can hold approximately 97.38% of the water in Container A.

To determine the percentage of water transferred from Container A to Container B, we need to compare their volumes. The volume of a cylinder is calculated using the formula V = πr^2h, where V represents the volume, r is the radius, and h is the height. Container A has a volume of π(8^2)(15), and Container B has a volume of π(11^2)(13). By dividing the volume of Container B by the volume of Container A and multiplying by 100, we find that Container B can hold approximately 97.38% of the water from Container A. This means that almost all the water from Container A can be transferred to Container B.

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Answer:

\(x = \frac{53}{8} \)

alternative form:

\(x = 6 \frac{5}{8} \: or \: x = 6.625\)

Step-by-step explanation:

\( \frac{7}{2} x + \frac{1}{2} x = 22 + \frac{9}{2} \\ add \: \frac{7}{2}x \: to \: \frac{1}{2} x \\ \\ 4x = 22 + \frac{9}{2} \\ add \: 22 \: to \: \frac{9}{2} \\ \\ 4x = \frac{53}{2} \\ divide \: both \: sides \: by \: 4 \: \\ \\ x= \frac{53}{8} \)

bIt was like any other day. I woke up to the sound of Fletchling in the trees. Wait is that the sound of Fletchling!? Am I still dreaming or have all my dreams just come true?............

​I did everything in my power to see if I was dreaming and I wasn’t. This was the start of a new beginning. I knew what had to happen next. Just then, Professor Oak walked in and my mom came into the room and said,”Charles I think you should stay here.”

But like any kid would do I didn’t listen.

​Then it all came back like a flood.

​I peeked out of a crack in my door and saw my mom and the Professor talking. I couldn’t tell what they were saying but there was a box on the table and it had my name on it. The addresser: Anonymous.

Let the cost of an apple be a, the cost of a banana be b, and the cost of a carrot be c.

We need to determine the matrix A and vector s for the system given above.

In the first transaction, we purchase 1 apple, 1 banana, and 1 carrot. Therefore, the total cost is a + b + c = 15.

In the second transaction, we purchase 3 apples, 2 bananas, and 1 carrot. Therefore, the total cost is 3a + 2b + c = 28.

In the third transaction, we purchase 2 apples, 1 banana, and 2 carrots. Therefore, the total cost is 2a + b + 2c = 23.The matrix A is a 3 x 3 matrix whose entries are the coefficients of a, b, and c in the three equations above.

Therefore,A = ⎡⎣⎢15a + b + c28 3a + 2b + c23 2a + b + 2c⎤⎦⎥The vector s is a column vector whose entries are the totals for each day. Therefore,s = ⎡⎣⎢15 2832⎤⎦⎥Now we can solve the system by multiplying the inverse of A by s. To find the inverse of A, we can use row operations to reduce A to the identity matrix I and keep track of the operations by applying them to I as well.

Given, Cost of an apple = aCost of a banana = bCost of a carrot = cThe equation representing the first transaction is: a + b + c = 15

The equation representing the second transaction is: 3a + 2b + c = 28The equation representing the third transaction is: 2a + b + 2c = 23Let's write the matrix A as a 3 x 3 matrix whose entries are the coefficients of a, b, and c in the three equations above.A = ⎡⎣⎢1 1 1 3 2 1 2 1 2⎤⎦⎥

The vector s is a column vector whose entries are the totals for each day.s = ⎡⎣⎢15 28 23⎤⎦⎥To solve the system, we need to find the inverse of A. We can use row operations to reduce A to the identity matrix I and keep track of the operations by applying them to I as well. Then, if A is transformed into I, I will be transformed into A^-1.

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Answer:

x = -2

Step-by-step explanation:

Answer:

x= -2

Step-by-step explanation:

(2x-1)= 5(x+1)

2x - 1 = 5x + 5

-2x -2x

- 1 = 3x + 5

-5 -5

-6 = 3x

-6/3= 3x/3

-2= x

In a proportional relationship between two quantities, the constant of proportionality, often denoted by the letter "k," represents the value that relates the two quantities. The equation y = kx is the standard form for expressing a proportional relationship, where "y" and "x" are the variables representing the two quantities.

Here's a breakdown of the components in the equation:

y: Represents the dependent variable, which is the quantity that depends on the other variable. It is usually the output or the variable being measured.

x: Represents the independent variable, which is the quantity that determines or influences the other variable. It is typically the input or the variable being controlled.

k: Represents the constant of proportionality. It indicates the ratio between the values of y and x. For any given value of x, multiplying it by k will give you the corresponding value of y.

The constant of proportionality, k, is specific to the particular proportional relationship being considered. It remains constant as long as the relationship between x and y remains proportional. If the relationship is linear, k also represents the slope of the line.

For example, if we have a proportional relationship between the distance traveled, y, and the time taken, x, with a constant of proportionality, k = 60 (representing 60 miles per hour), the equation would be y = 60x. This equation implies that for each unit increase in x (in hours), y (in miles) will increase by 60 units.

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Answer:

answer is b "Yes Due to SAS"

Step-by-step explanation:

Side Angle Side

2 sides are same and 1 angle is same

Answer:

2

Step-by-step explanation:

3(x-4)=-6

3x - 12 =-6

3x=- 6 +12

3x =6

x =6 :3

x=2

Answer:

n= 27

Step-by-step explanation:

To solve first subtract the 90-degree angle:

180-90= 90

Then, convert into an equation:

3n+9= 90

Subtract 9 from both sides:

3n=81

Then divide by 3:

n= 27

Hope this helps!

The general terms of the sequence _2_4_6_8_10 are given by the formula aₙ = 2n, where n represents the position of the term.

The given sequence _2_4_6_8_10 represents a pattern where each term is obtained by adding 2 to the previous term. This indicates an arithmetic progression with a common difference of 2.

In general, an arithmetic progression can be described by the formula aₙ = a₁ + (n-1)d, where aₙ represents the nth term, a₁ is the first term, n is the position of the term, and d is the common difference.

In this case, the first term is 2 (a₁ = 2) and the common difference is also 2 (d = 2). Substituting these values into the formula, we get aₙ = 2 + (n-1)2 = 2n. Therefore, the general terms of the sequence are given by aₙ = 2n.

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The general terms of the sequence _2_4_6_8_10 are given by the formula aₙ = 2n, where n represents the position of the term.

The given sequence _2_4_6_8_10 represents a pattern where each term is obtained by adding 2 to the previous term. This indicates an arithmetic progression with a common difference of 2.

In general, an arithmetic progression can be described by the formula aₙ = a₁ + (n-1)d, where aₙ represents the nth term, a₁ is the first term, n is the position of the term, and d is the common difference.

In this case, the first term is 2 (a₁ = 2) and the common difference is also 2 (d = 2). Substituting these values into the formula, we get aₙ = 2 + (n-1)2 = 2n. Therefore, the general terms of the sequence are given by aₙ = 2n.

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Answer:

w = -3/8

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define Equation

-6(w + 2) = w - 9 + 3(3w + 1)

Step 2: Solve for w

Answer:

We see that if a function is differentiable at a point, then it must be continuous at that point. There are connections between continuity and differentiability. If is not continuous at , then is not differentiable at . Thus from the theorem above, we see that all differentiable functions on are continuous on

Step-by-step explanation:

Answer:

37.5 cm^2

Step-by-step explanation:

2.5 * 3.5 = 6.25

6.25 x 6 is 37.5

Step-by-step explanation:

right angled triangle has 3sides with an angle of 90°

quadrilateral triangle has 3sideswith an angle of 60°each side

Answer:

-4409/100

bcoz there is decimal next to 2 numbers

Since Tony is self-employed, he will have to pay all of the tax himself.

Take his adjusted earnings times the tax rate

58238.74 * 2.9%

58238.74 * .029

1688.92346

Rounding to the nearest cent

1688.92

The test hypothesis using 0.05 significance level has the following results:

Part 1:

State the null and alternative hypotheses for treatments:

Null hypothesis=treatment means do not differ

Alternative hypothesis=The means are different

State the decision rule for treatments:

Table value of F(1,2)=18.51

If the calculated F>18.51, reject the null hypothesis

Decision: Treatments

Calculated F=43.75 >18.51, here, we reject the null hypothesis

Hence, we conclude that the treatment means differ.

Part 2:

State the null and alternate hypotheses for blocks.

Null hypothesis=block means do not differ

Alternative hypothesis: At least on pair of means are different

Also, state the decision rule for blocks:

Table value of F(2,2)=19.0

If the calculated F >19.0, reject the null hypothesis

Decision: Blocks

Calculated F=8.14 < 19.0, we do not reject the null hypothesis

Hence, we conclude that the block means do not differ.

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We square the residuals when using the least-squares line method to find the line of best fit because we believe that huge negative residuals (i.e., points well below the line) are just as harmful as large positive residuals (i.e., points that are high above the line).

We treat both positive and negative disparities equally by squaring the residual values.  We cannot discover a single straight line that concurrently minimizes all residuals. The average (squared) residual value is instead minimized.

We might also take the absolute values of the residuals rather than squaring them. Positive disparities are viewed as just as harmful as negative ones under both strategies.

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Answer:

LCM is 36

Step-by-step explanation:

9 x 4 = 36

12 x 3 = 36

Answer: $96.25

Step-by-step explanation:

Take 89.75 divided by 100% = 0.8975

Then times 7.25% = $6.5

Total is 89.75 + 6.5 = $96.25

The correct answer is C. 2.821. This critical t-value is used in hypothesis testing and confidence interval calculations to determine the boundaries for accepting or rejecting a null hypothesis or to estimate the range within which a population parameter is likely to fall.

To find the critical t-value that corresponds to 99% confidence and n = 10, we can use the t-distribution. With a 99% confidence level, we want to find the t-value that leaves 1% of the area in the tail of the distribution.

Since n = 10, the degrees of freedom for this calculation will be n - 1 = 10 - 1 = 9. Using a t-distribution table or a statistical calculator, we can find that the critical t-value for a 99% confidence level and 9 degrees of freedom is approximately 2.821 when rounded to three decimal places.

Therefore, the correct answer is C. 2.821. This critical t-value is used in hypothesis testing and confidence interval calculations to determine the boundaries for accepting or rejecting a null hypothesis or to estimate the range within which a population parameter is likely to fall.

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Answer:

Step-by-step explanation:

-9r - 73 = -10

-9r = 63

r = -7

The rectangular coordinates for the point (1, 45°) are approximately (0.71, 0.71). Here, r represents the distance from the origin, and θ represents the angle in radians.

(a) The point (1, 45°) in polar coordinates corresponds to a point on the graph with a distance of 1 unit from the origin and an angle of 45 degrees counterclockwise from the positive x-axis.

(b) Two other pairs of polar coordinates for the point (1, 45°) can be obtained by adding or subtracting multiples of 360 degrees to the angle while keeping the distance unchanged. For instance, (1, 405°) represents the same point as (1, 45°) but with an additional full rotation of 360 degrees. Similarly, (1, -315°) corresponds to the same point as (1, 45°) but with a counterclockwise rotation of 360 degrees.

(c) To convert the point (1, 45°) in polar coordinates to rectangular coordinates, we use the formulas:

x = r * cos(θ)

y = r * sin(θ)

Here, r represents the distance from the origin, and θ represents the angle in radians. For our given point, substituting r = 1 and θ = 45° (converted to radians), we can calculate:

x = 1 * cos(45°) ≈ 0.71

y = 1 * sin(45°) ≈ 0.71

Therefore, the rectangular coordinates for the point (1, 45°) are approximately (0.71, 0.71).

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The 95% confidence interval for the mean score of all such subjects. will be ( 67. 7 , 84.7) using mean.

What is mean?

Mathematicians, particularly statisticians, use a variety of means. Every mean serves to condense a certain set of facts, frequently to help grasp the general significance of a particular data set.

sample mean = x' = 76.2

sample S = 21.4

sample size n = 27

Confidence level = a = 0.95
α=1-a=0.05
95% confidence interval for the mean score of all such subjects is
(x'-E , x'+E)
E = \(\frac{tc*s}{\sqrt{n}}\)
E = \(\frac{2.056*21.4}{\sqrt{27}}\)} = 8.466

95% confidence interval for the mean score of all such subjects is
(x'-E , x'+E)
=(76.2-8.466 , 76.2+8.466)
=(67.734 , 84.666)
= ( 67. 7 , 84.7)

Hence The answer will be ( 67. 7 , 84.7).

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To determine the exact values of the six trigonometric functions of the angle, we need to use the point (7,24) and the Pythagorean Theorem.
Step 1: Use the Pythagorean Theorem to find the hypotenuse of the right triangle formed by the point (7,24) and the origin (0,0). The hypotenuse is the distance from the origin to the point (7,24).
c^2 = a^2 + b^2
c^2 = 7^2 + 24^2
c^2 = 49 + 576
c^2 = 625
c = 25
Step 2: Use the hypotenuse and the coordinates of the point (7,24) to find the exact values of the six trigonometric functions.
sin θ = opposite/hypotenuse = 24/25
cos θ = adjacent/hypotenuse = 7/25
tan θ = opposite/adjacent = 24/7
csc θ = hypotenuse/opposite = 25/24
sec θ = hypotenuse/adjacent = 25/7
cot θ = adjacent/opposite = 7/24
The exact values of the six trigonometric functions of the angle are sin θ = 24/25, cos θ = 7/25, tan θ = 24/7, cosc θ = 25/24, sec θ = 25/7, and cot θ = 7/24.

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Given:

The table of values of a function f(x).

To find:

The value of f(-1).

Solution:

We know that, if

\(f(x)=y\)

Then, x is input and y is output.

From the given table it is clear that at x=-1 the corresponding value of y is 0.

It means, the output is 0 if x=-1. So,

\(f(-1)=0\)

Therefore, the value of f(-1) is 0.

Answer:

D

Step-by-step explanation:

Just took the quiz on EDGE2021

good luck

Answer:

 1, 2, 3, 6, 9 and 18.

Step-by-step explanation:

This matches the placement of 10, 15, and 20 and hence the standard deviation will be the same in the two cases.

What is the standard deviation?

The standard deviation in statistics is a measure of the amount of variation or dispersion in a set of values. A low standard deviation indicates that the values are close to the set's mean, whereas a high standard deviation indicates that the values are spread out over a wider range.

Standard deviation determines how far numbers deviate from the mean. The Standard deviation of the two sets will be the same if the numbers from the respective means are placed in the same order.

This is what 10, 15, and 20 will be on a number line

10_ _ _ _15 _ _ _ _20

(15 is the mean and 10 and 20 are 5 steps away from the mean)

i) Z - X = 10

This is what Z and X will be on the number line

X _ _ _ _ _ Z

ii) Z - Y = 5

This is what Z and Y will on the number line.

Y_ _ _ _ _ Z

Together, their relative placement on the number line:

X _ _ _ _ _  Y  _ _ _ _ _  Z

This matches the placement of 10, 15, and 20 and hence the standard deviation will be the same in the two cases.

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The sample means are distributed along the x-axis for a sampling distribution of a sample mean.

A sample mean is an average of a set of data, that can be used to calculate the central tendency, standard deviation and the variance of a data set.

Now,

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