Last August, the Martin family paid 75 for home owners association fee in February,they paid 54 what is the percent of decrease

Answer:[

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Step-by-step explanation:

Therefore, the preceding equation, which states that Brittany will be twice as old as Steve in 9 years, is proven when Brittany is 54 years old and Steve is 18 years old.

Equations are mathematical statements with the equals (=) sign on each side and two algebraic expressions in the center.

Coefficients, variables, operators, constants, terms, and the equal to sign are just a few of the components that make up an equation. The "=" symbol and terms on both sides are always needed when writing an equation.

calculation

Let s = brittany 's age now

Let t = steve's age now

s = 3t

s + 9 = 2 (t+9)

s + 9 = 2t + 27

s = 2t + 27 - 9

s = 2t + 18

Substitute 3t for s and find t

3t = 2t + 18

3t - 2t = 18

t = 18 yrs is steve's age

then

s = 3(18)

s = 54 yrs is brittany's age

Therefore, the preceding equation, which states that Brittany will be twice as old as Steve in 9 years, is proven when Brittany is 54 years old and Steve is 18 years old.

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Answer:

1- Product of powers rule.

2- Quotient of powers rule.

3- Power of a power rule.

4- Power of a product rule.

5- Power of a quotient rule.

6- Zero power rule.

7- Negative exponent rule.

Step-by-step explanation:

Hope I helped! ^v^

Answer:

no, because each y value corresponds to multiple x values. And the x values repeat each other.

Step-by-step explanation:

Answer:

No, because there is more than one of the same x value

Step-by-step explanation:

The value of the given expression will be -1.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition,substraction, multiplication and division.

We have the following expression:-

\(2x+\dfrac{1}{2x}=1\)

We need to find the value of

\(16x^4+\dfrac{1}{16x^4}=?\)

So by using the given expression:-

\(2x+\dfrac{1}{2x}=1\)

By applying the formula

( a + b )² = a² + b² + 2ab

So the solution will be:-

\(2x+\dfrac{1}{2x}=1\\\\\\(2x+\dfrac{1}{2x})^2 = 1^2\\\\\\4x^2+\dfrac{1}{4x^2}+2=1\\\\\\4x^2+\dfrac{1}{4x^2}=-1\\\\\\\)

Again applying the formula:-

\((4x^2+\dfrac{1}{4x^2})^2=(-1)^2\\\\\\16x^4+\dfrac{1}{16x^4}+2=1\\\\\\16x^4+\dfrac{1}{16x^4}=-1\)

Hence the value of the given expression will be -1

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Answer: No. All linear functions can be written in the form y = mx + b, where m is the slope and b is the y-intercept (slope-intercept form).

Step-by-step explanation:

Answer:

The answer is 16

Step-by-step explanation:

I did the test

Answer:

Answer is 16

I just did the test its right i swear.

Converting the force from newtons to pounds can help us determine the chances of a driver being able to stop a child. The conversion factor is 1 pound (lb) = 4.45 newtons (N).

To convert the force from newtons to pounds, we use the conversion factor of 1 lb = 4.45 N. If we have a force in newtons, we can divide it by 4.45 to obtain the equivalent force in pounds. For example, if the force is 20 N, we divide it by 4.45 to get approximately 4.49 lb.

Now, in order to assess the chances of the driver stopping the child, we need to consider various factors such as the mass and speed of the child, the friction between the driver's shoes and the ground, and the force applied by the driver. If the force applied by the driver, converted to pounds, is greater than or equal to the force exerted by the child, there is a higher chance of stopping the child.

However, it's important to note that other factors, such as the driver's reaction time and the coefficient of friction between the shoes and the ground, also play significant roles in determining the outcome. Thus, the chances of the driver stopping the child depend on a combination of these factors, making it essential to consider them comprehensively when evaluating the situation.

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An inequality that can be written in the form ax + by < c (where a and b are not both zero) is called a linear inequality in two variables.

An inequality that represents a line in a two-dimensional coordinate system is referred to as a linear inequality. The set of points that satisfies the inequality is a half-plane bounded by a line that may be dashed or solid.

In contrast to a linear equation, which represents a line, a linear inequality represents a half-plane. The points on one side of the line, rather than the points on the line, are solutions to the inequality.

The method of shading is used to graph a linear inequality in two variables. First, graph the boundary line, which is usually represented by a solid or dashed line, and then select a test point on one side of the line. Shaded regions of the half-plane containing the test point satisfy the inequality.

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The perimeter of the figure in simplified form is expressed as: P = 2p + 2q + 2r + 4s

To find the perimeter of any figure, add all the side lengths of the figure together.

Thus, the given side lengths of the figure are:

p, p, q, q, r, r, s, s, s, and s.

To find the perimeter add them together.

Perimeter of the figure = p + p + q + q + r + r + s + s + s + s

Perimeter = 2p + 2q + 2r + 4s

Therefore, the perimeter of the figure in simplified form is expressed as: P = 2p + 2q + 2r + 4s

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a) The value of z corresponding to an area of 0.1210 can be found using statistical tables or a statistical calculator.

b) Similarly, the value of z corresponding to an area of 0.9898 can be obtained using statistical tables or a statistical calculator.

c) To find the value of z at the 45th percentile, we can use the standard normal distribution table or a statistical calculator.

a) To find the value of z corresponding to an area of 0.1210, you can use a standard normal distribution table or a statistical calculator. By looking up the area of 0.1210 in the table, you can determine the corresponding z-value. For example, if you find that the z-value for an area of 0.1210 is -1.15, then -1.15 is the value of z corresponding to the given area.

b) Similarly, to find the value of z corresponding to an area of 0.9898, you can refer to a standard normal distribution table or use a statistical calculator. Find the z-value that corresponds to the area of 0.9898. For instance, if the z-value for an area of 0.9898 is 2.32, then 2.32 is the value of z corresponding to the given area.

c) To find the value of z at the 45th percentile, you can use a standard normal distribution table or a statistical calculator. The 45th percentile corresponds to an area of 0.4500. By finding the z-value for an area of 0.4500, you can determine the value of z at the 45th percentile. For example, if the z-value for an area of 0.4500 is 0.125, then 0.125 is the value of z at the 45th percentile.

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The present value of $13,000 discounted back 5 years at a semi-annual compound rate of 9% can be calculated by the formula:PV = FV / (1 + r/m)^(m*t)Here, PV stands for Present Value FV stands for Future Valuer stands for the interest rate (9%)m is the number of times the interest is compounded (semi-annually, so m = 2)t is the number of years (5)

After substituting the values in the formula, we get:PV = 13,000 / (1 + 0.045)^10PV = 13,000 / 1.55709768854PV = $8,349.58. We can use the concept of present value (PV) and future value (FV) to solve this question. When the cash flow is considered at different points of time, the money's value changes with the time value of money. The time value of money takes into consideration the amount of interest that could be earned on the sum of money if invested. Present value (PV) is a mathematical concept that represents the current worth of a future sum of money, taking into account the time value of money and the given interest rate. PV is calculated by using a discount rate that is determined by the interest rate and the length of time between the present and future payment dates. Future value (FV) is a mathematical concept that represents the future worth of a present sum of money, taking into account the time value of money and the given interest rate. FV is calculated by using a compound interest rate that is determined by the interest rate and the length of time between the present and future payment dates. To calculate the present value of $13,000 discounted back 5 years at a semi-annual compound rate of 9%, we can use the formula PV = FV / (1 + r/m)^(m*t), where PV is the present value, FV is the future value, r is the interest rate, m is the number of times the interest is compounded per year, and t is the number of years. In this case, we know that FV is $13,000, r is 9%, m is 2 (since it is compounded semi-annually), and t is 5. After substituting these values into the formula, we get PV = $8,349.58. Therefore, the present value of $13,000 discounted back 5 years at a semi-annual compound rate of 9% is $8,349.58.

Therefore, the present value of $13,000 discounted back 5 years at a semi-annual compound rate of 9% is $8,349.58.

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Answer:

Una bicicleta de aro 26 recorre 377 metros cuando sus ruedas dan 200 vueltas.

Step-by-step explanation:

Para encontrar la respuesta, primero tienes que calcular la longitud de la circunferencia utilizando la siguiente formula:

Longitud=π*diámetro

El diámetro es 0,6m y el valor de π es 3,1416 y puedes reemplazar estos valores en la fórmula:

Longitud=3,1416*0,6

Longitud=1,885

Ahora que tienes la longitud que recorre la rueda en cada vuelta, puedes multiplicar este valor por el número de vueltas para encontrar los metros que recorre una bicicleta de aro 26:

200*1,885=377

De acuerdo a esto, la respuesta es que una bicicleta de aro 26 recorre 377 metros cuando sus ruedas dan 200 vueltas.

Usando la circunferencia de la rueda, se encuentra que la bicicleta recorre 377 metros.

La cincunferencia de un círculo de diametro d es dada por:

\(C = \pi d\)

En este problema, en cada vuelta, la distancia es la circunferencia de la rueda, o sea:

\(C = \pi(0.6) = 0.6\pi\)

Considerando 200 vueltas:

\(d = 200(0.6\pi) = 120\pi = 377\)

La bicicleta recorre 377 metros.

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According to the probabilities given, it is found that the correct option regarding the independence of the events is given by:

No, P(carry cash) != P(carry cash|have children).

If two events, A and B, are independent, we have that:

\(P(A \cap B) = P(A)P(B)\)

Which also means that:

\(P(A|B) = P(A)\)

\(P(B|A) = P(B)\)

In this problem, we have that:

Since P(carry cash) != P(carry cash|have children), they are not independent.

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The correct 95% confidence interval for the population mean is (73.28, 86.72).

To construct a confidence interval, we use the formula:

CI = x ± Z * (s/√n),

where x is the sample mean, s is the sample standard deviation, n is the sample size, Z is the z-score corresponding to the desired confidence level, and √n is the square root of the sample size.

In this case, x = 80, s = (73.87, 87.53), and n = 30. The critical z-score for a 95% confidence level is approximately 1.96.

Using the formula, the confidence interval is:

CI = 80 ± 1.96 * [(73.87, 87.53)/√30] = (73.28, 86.72).

This means that we can be 95% confident that the true population mean falls within the range of 73.28 to 86.72.

In the given options, the correct confidence interval is (73.28, 86.72).

A confidence interval is a range of values within which we estimate the true population parameter, such as the population mean. The level of confidence, in this case 95%, represents the probability that the true population mean falls within the calculated interval.

To construct a confidence interval, we need to know the sample mean, sample standard deviation, and sample size. The sample mean, denoted as x, represents the average of the observed values. The sample standard deviation, denoted as s, measures the variability or spread of the data points. The sample size, denoted as n, indicates the number of observations in the sample.

In this scenario, the sample mean x is given as 80, the sample standard deviation s is given as a range of (73.87, 87.53), and the sample size n is 30.

To determine the width of the confidence interval, we consider the variability in the data (measured by the sample standard deviation) and the desired level of confidence. The critical value, denoted as Z, is obtained from the standard normal distribution table for the chosen confidence level. For a 95% confidence level, the Z-value is approximately 1.96.

Plugging the values into the confidence interval formula:

CI = x ± Z * (s/√n),

we calculate the margin of error as Z * (s/√n). The margin of error represents the range within which the true population mean is expected to fall.

In this case, the margin of error is 1.96 * [(73.87, 87.53)/√30]. Simplifying the calculation gives us a margin of error of (6.72, 3.49).

Adding and subtracting the margin of error from the sample mean gives us the lower and upper bounds of the confidence interval, respectively. Therefore, the correct 95% confidence interval for the population mean is (73.28, 86.72).

Among the given options, (73.28, 86.72) is the correct confidence interval.

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An equation of a line AC with the given coordinates is 3x+11y+34=0.

The point slope form is used to find the equation of the straight line which is inclined at a given angle to the x-axis and passes through a given point.

The equation of the point slope form is: (y - y₁) = m(x - x₁)

where, (x, y) is a random point on the line and m is the slope of the line.

Given that, ΔABC with the coordinates A(-4, -2), B(4, 4), and C(18, -8).

Here, the slope of AC is A(-4, -2) and C(18, -8)

So slope m=(-8+2)/(18+4)

m= -6/22

m= -3/11

Substitute m=-3/11 and (x₁, y₁)=A(-4, -2) in (y - y₁) = m(x - x₁), we get

(y+2)=-3/11 (x+4)

11y+22=-3x-12

3x+11y+34=0

Therefore, an equation of a line AC with the given coordinates is 3x+11y+34=0.

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Answer:

me too

Step-by-step explanation:

Meeee toooooooo!!!,!,!,!,!,,,,!,!!,!!!!

The amount of storage required to represent a simple graph with n vertices and m edges can vary depending on the chosen representation. Here's the storage requirement for each representation:

a) Adjacency lists:

In an adjacency list representation, we typically use an array of size n to store the vertices, and for each vertex, we maintain a linked list or an array to store its adjacent vertices. The space complexity of this representation is O(n + m), where n is the number of vertices and m is the number of edges.

Each vertex requires constant space, and each edge is represented by a link or entry in the adjacency list.

b) Adjacency matrix:

In an adjacency matrix representation, we use a 2D matrix of size n x n to represent the graph. Each entry (i, j) in the matrix represents whether there is an edge between vertices i and j. The space complexity of this representation is O(n^2), as we need to store n^2 entries for the complete matrix. However, if the graph is sparse (few edges compared to vertices), the space complexity can be reduced to O(n + m) by only storing the entries corresponding to the existing edges.

c) Incidence matrix:

In an incidence matrix representation, we use a 2D matrix of size n x m, where n is the number of vertices and m is the number of edges. Each entry (i, j) in the matrix represents whether vertex i is incident to edge j. The space complexity of this representation is O(n * m), as we need to store n * m entries for the matrix.

Similar to the adjacency matrix, if the graph is sparse, the space complexity can be reduced to O(n + m) by storing only the entries corresponding to the existing edges.

In summary:

a) Adjacency lists: O(n + m)

b) Adjacency matrix: O(n^2) or O(n + m) for sparse graphs

c) Incidence matrix: O(n * m) or O(n + m) for sparse graphs

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Answer:

So, the system of equations are

5 s+5 c+5 n=41.25

10 s+5 c+10 n=68.75

12 s+12 n=66

Step-by-step explanation:

We are given S represents the cost per solid chocolate.

C represents the cost per cream center chocolate

n represent the cost per chocolate with nuts.

So, we can set up equation for each sentences,

For A box containing 5 of each type of truffle costs $41.25

5 s+5 c+5 n=41.25

For A box containing 10 solid chocolate truffles, 5 cream center chocolate truffles, and 10 chocolate truffles with nuts costs $68.75

10 s+5 c+10 n=68.75

For box with only 12 solid chocolate truffles and 12 chocolate truffles with nuts costs $66.00

12 s+12 n=66

If scores on an exam follow an approximately normal distribution with a mean of 76.4 and a standard deviation of 6.1 points, then the minimum score you would need to be in the top 2% is equal to 88.929.

This type of problem can be referred to as a normal distribution problem.

It can be solved by using the z-score.

Formula;

Z = x - μ / σ

Here,

Z represents the standard score

x represents the observed value

μ represents the mean

σ represents the standard deviation

The z- score can be found by using the p-value on a standard table.

As the minimum score to be in the top 2% is needed to be found, p-value = 0.02

z- score that corresponds to the p-value of 0.02 in the standard table is equal to 2.054

Hence,

2.054 = x - 76.4 / 6.1

2.054(6.1) = x - 76.4

12.529 = x - 76.4

x = 12.529 + 76.4

x = 88.929

Hence the minimum score needed to be in the top 2% is calculated to be 88.929

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Answer:

Account 1 has the highest effective annual interest rate (0.042666142)

Step-by-step explanation:

Hi, to answer this question we have to apply the Effective Annual Interest Rate formula:  

EAIR = [(1+r/n)^n ]-1

Where:

r = nominal interest rate

n = number of periods

If interest is compounded annually, then n = 1; if semi-annually, then n = 2; quarterly, then n = 4; monthly, then n = 12

SO:

Account 1: Interest is compounded quarterly at an annual rate of 4.20%.  

EAIR = [(1+r/n)^n ]-1 = [(1+(4.20/100)/4)^4 ]-1 = 0.042666142

Account 2: Interest is compounded monthly at an annual rate of 4.15%.  

EAIR = [(1+r/n)^n ]-1 = [(1+(4.15/100)/12)^12 ]-1 =0.042298535

Account 3: Interest is compounded semiannually at an annual rate of 4.10%

EAIR = [(1+r/n)^n ]-1 = [(1+(4.10/100)/2)^2]-1 = 0.04142025

Account 4: Interest is compounded annually at a rate of 4.25%.

EAIR = [(1+r/n)^n ]-1 = [(1+(4.25/100)/1)^1 ]-1 = 0.0425

Since:

0.042666142 (1) < 0.0425 (4) < 0.042298535(2) <0.041420258(3)

Account 1 has the highest effective annual interest rate 0.042666142

Answer:

67

Step-by-step explanation:

Answer:

1) The difference between the temperatures in Miami and Anchorage is calculated by subtracting the temperature in Anchorage from the temperature in Miami. In this case, the temperature in Anchorage is -28°F and the temperature in Miami is 65°F. To find the difference, we subtract -28°F from 65°F.

65°F - (-28°F) = 65°F + 28°F = 93°F

Therefore, the difference between the temperatures in Miami and Anchorage is 93°F.

2) To find the temperature in Miami on a day when Anchorage was -14°F and Miami was 73°F warmer, we need to add the temperature difference to the temperature in Anchorage. In this case, the temperature in Anchorage is -14°F and Miami is 73°F warmer.

-14°F + 73°F = 59°F

Therefore, the temperature in Miami on this day is 59°F.

3) To find the temperature in Anchorage at the end of a three-hour period, we need to subtract the decrease in temperature from the starting temperature. In this case, the starting temperature is 6°F and the temperature decreases by 2.5°F every hour for three hours.

Starting temperature: 6°F

Decrease per hour: 2.5°F

Number of hours: 3

6°F - (2.5°F * 3) = 6°F - 7.5°F = -1.5°F

Therefore, the temperature in Anchorage at the end of the three-hour period is -1.5°F.

4) To find the temperature at sunset in Miami on a specific day, we need to calculate the changes in temperature throughout the day. In this case, the temperature at sunrise is 52°F, and it increases by 8°F, then increases by another 17°F, and finally decreases by 12°F.

Temperature at sunrise: 52°F

Temperature increase 1: 8°F

Temperature increase 2: 17°F

Temperature decrease: 12°F

52°F + 8°F + 17°F - 12°F = 65°F

Therefore, the temperature at sunset in Miami on this day is 65°F.

its 2 gallons

4 would be 16

12 would be 48

32 would be 128

To find the work done in pumping the entire contents of the fuel tank into the tractor, we need to calculate the potential energy difference between the initial position of the gasoline in the truck's tank and its final position in the tractor's tank.

Given:

- Diameter of the cylindrical gasoline tank: 4 feet

- Length of the cylindrical gasoline tank: 5 feet

- Opening on the tractor tank is 5 feet above the top of the tank in the truck

First, let's calculate the volume of the cylindrical gasoline tank using the formula for the volume of a cylinder:

Volume = π * (radius^2) * height

The radius of the tank is half the diameter, so the radius is 4 feet / 2 = 2 feet.

Volume = π * (2^2) * 5 = 20π cubic feet

Since the entire contents of the fuel tank need to be pumped, the volume of gasoline to be pumped is 20π cubic feet.

To calculate the work done in pumping the gasoline, we need to find the vertical height through which the gasoline is lifted. This height is the sum of the height of the tank and the distance between the top of the tank and the opening on the tractor tank.

Height = 5 feet + 5 feet = 10 feet

The work done in pumping the gasoline can be calculated using the formula:

Work = Force × Distance

In this case, the force is the weight of the gasoline, and the distance is the height through which it is lifted. To calculate the weight of the gasoline, we need to know the density of gasoline. The density of gasoline can vary, but an average value is around 6.3 pounds per gallon.

Let's convert the volume of gasoline from cubic feet to gallons:

1 cubic foot = 7.48052 gallons (approximately)

Volume in gallons = 20π * 7.48052 ≈ 149.61π gallons

Weight of gasoline = Volume in gallons * Density of gasoline

Assuming the density of gasoline as 6.3 pounds per gallon:

Weight of gasoline = 149.61π * 6.3 ≈ 940.06π pounds

Finally, we can calculate the work done:

Work = Weight of gasoline * Height

Work = 940.06π * 10 ≈ 9400.6π foot-pounds

Therefore, the work done in pumping the entire contents of the fuel tank into the tractor is approximately 9400.6π foot-pounds.

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Answer:

angle 1 = 62 degrees. angle 2 = 45 degrees. angle 3 = 24 degrees

Step-by-step explanation: