Mary needs $9000 in 9 years. What amount can she deposit in a sinking fund at the end of each quarter at 4% interest compounded quarterly so she will have her $9000? Please serious answers only

Answers

Answer 1

If Mary needs to have $9,000 in 9 years at 4% interest compounded quarterly, she should deposit $208.93 in a sinking fund at the end of each quarter.

What is compound interest?

Compound interest refers to the system that charges interest on both the accumulated interest and the principal at the end of each period.

The compounding period may vary from annual, quarter, and monthly to daily.

N (# of periods) = 36 quarters (9 years x 4)

I/Y (Interest per year) = 4%

PV (Present Value) = $0

FV (Future Value) = $9,000

Results:

Periodic (Quarterly) Deposit (PMT) = $208.93

The sum of all periodic payments = $7,521.44

Total Interest = $1,478.56

Thus, Mary needs to deposit $208.93 each quarter.

Learn more about compound interest and periodic deposits at https://brainly.com/question/3989769.

#SPJ1


Related Questions

I need this answer asap can someone help?

Answers

Therefore, the shortest driving distance from the greenhouse to the animal shelter is approximately 6.08 units (rounded to two decimal places).

What is distance?

Distance is a measure of the physical space between two objects or points. It refers to the length of the path travelled by an object moving from one point to another, and is typically measured in units such as meters, kilometers, feet, miles, or other similar units of length. Distance can be calculated using various methods such as using the distance formula in mathematics or using measuring tools such as rulers, tape measures, or GPS devices. Distance is an important concept in physics, engineering, geography, and many other fields that involve measurements of space and motion.

Here,

We can use the distance formula to calculate the shortest driving distance between the coordinates (2,3) and (3,-3):

d = √((x₂ - x₁)² + (y₂ - y₁)²)

where

x₁ = 2

y₁ = 3

x₂ = 3

y₂ = -3

Substituting the values, we get:

d = √((3 - 2)² + (-3 - 3)²)

d = √(1² + (-6)²)

d = √(1 + 36)

d = √(37)

=6.08 feet

To know more about distance,

https://brainly.com/question/15172156

#SPJ1

Cual es la constante de proporcionalidad para encontrar la cantidad por pagar a partir del número de cocadas si ni sabes no contestes o si no te denunció ​

Answers

The proportionality constant to find the amount to be paid based on the number of "cocadas" is the price per "cocada"

Proportionality constant is a mathematical term that refers to the constant value that relates two variables that are directly proportional to each other.

The proportionality constant to find the amount to be paid based on the number of "cocadas" will depend on the price per "cocada".

Let's say the price per "cocada" is represented by the variable "p" (in some currency), and the number of "cocadas" purchased is represented by the variable "n".

Then, the amount to be paid can be calculated using the formula

amount to be paid = p × n

Learn more about proportionality constant here

brainly.com/question/29126727

#SPJ4

farmers use herbicides to limit the growth of weeds among their crops. do you think it would be appropriate to display these data in a histogram without first plotting them in a time plot? explain why or why not.

Answers

Whether to use a histogram or a time plot depends on the specific objective of your analysis. A histogram

is suitable for analyzing the distribution of herbicide usage, while a time plot is better for analyzing trends over time.

It would be appropriate to display these data in a histogram without first plotting them in a time plot if you are looking

to analyze the distribution or frequency of herbicide usage across different amounts or categories.

A histogram can provide a clear visualization of the distribution and help identify any patterns or trends in the data.

However, if your goal is to analyze the trend of herbicide usage over time, then it would be more appropriate to use a

time plot.

A time plot will show changes in the usage of herbicides over a specific time period and help identify any seasonal

patterns or trends in the data.

In summary, whether to use a histogram or a time plot depends on the specific objective of your analysis. A histogram

is suitable for analyzing the distribution of herbicide usage, while a time plot is better for analyzing trends over time.

for such more question on  histogram

https://brainly.com/question/28164315

#SPJ11

in a survey of 464 registered voters, 133 of them wished to see mayor waffleskate lose her next election. the waffleskate campaign claims that no more than 34% of registered voters wish to see her defeated. does the 98% confidence interval for the proportion support this claim? (hint: you should first construct the 98% confidence interval for the proportion of registered voters who wish to see waffleskate defeated.)

Answers

The Waffleskate campaign's claim that less than 34% of registered voters wish to see her defeated is not supported by the data, as the 98% confidence interval (0.236 to 0.336) for the proportion of voters who want her to lose does not include 0.34.

Why the 98% confidence interval for the proportion does not support this claim?

To determine if the 98% confidence interval supports the Waffleskate campaign's claim that no more than 34% of registered voters wish to see her defeated, we need to construct the confidence interval and see if 34% falls within the interval.

The sample proportion of registered voters who wished to see Waffleskate lose her next election is 133/464 ≈ 0.286. To construct the 98% confidence interval for the true proportion, we can use the formula p ± Z√(pq/n), where p is the sample proportion, q is the complement of p, n is the sample size, and Z is the standard normal value corresponding to the desired confidence level.

Plugging in the values, we get:

p ± Z√(pq/n) = 0.286 ± 2.33√((0.2860.714)/464) ≈ 0.236 to 0.336

Therefore, the 98% confidence interval for the proportion of registered voters who wish to see Waffleskate lose her next election is 0.236 to 0.336. Since this interval does not include 0.34, the Waffleskate campaign's claim that no more than 34% of registered voters wish to see her defeated is not supported by the 98% confidence interval for the proportion.

Learn more about Waffleskate campaign's

brainly.com/question/14553449

#SPJ11

Write the point-slope form of the equation of the line that passes through the points (6, -9) and (7, 1). Include your work in your final answer. Type your answer in the box provided to submit your solution.

Answers

Therefore , the solution of the given problem of equation comes out to be 10x - y = 51 is the point-slope form of the equation of the line passing through the points (6, -9) and (7, 1).

Explain the equation.

Variable words are frequently used in complex algorithms to show consistency between two arguments that are opposed to one another. Academic expressions called equations are used to show the equality of various academic figures. Take into account the details in the z + 7 proposals.

Here,

The equation for the line passing between the points (6, -9) and (7, 1) must be found in the point-slope form.

Using the equation m = (y2 - y1) / (x2 - x1), find the slope (m) of the line, where (x1, y1) and (x2, y2) are the coordinates of the two points.

=> (x1, y1) = (6, -9)

=> (x2, y2) = (7, 1)

=> m = (1 - (-9)) / (7 - 6)

=> m = 10 / 1 m = 10

Consequently, the line's slope is 10.

=> y - y1 = m(x - x1)

=> m = 10 (x1, y1) = (6, -9)

=> y - (-9) = 10(x - 6)

=> y + 9 = 10x - 60

=> 10x - y = 51

Therefore, 10x - y = 51 is the point-slope form of the equation of the line passing through the points (6, -9) and (7, 1).

To know more about equation visit:

https://brainly.com/question/649785

#SPJ1

Hey I have some work rate math problems, if anyone can help me solve them id appreciate it.

The owner of a house require that the house be painted in 32 hours (4 work days). Mr. Paint, a painting contractor, would need 40 hours (5 days) to paint the house alone. To make sure the house is painted in 32 hours, Mr. Paint hires an assistant. How long would the assistant need to paint the house alone? ( for question 1,2 & 3)

1- Let x represent the amount of time the assistant would need to paint the house alone. Write an expression that shows the hourly rate at which Mr. Paint and his assistant work together to paint the house.
2- Now write an equation that can be used to determine the rate at which the assistant works.
3- If we know that the assistant works at a rate that would take him 160 hours to finish the job alone, and Mr. Paint receives $40 an hour for the job, how much should he pay his assistant?
4- Now consider a different scenario. A type of swimming pool holds 100 gallons of water. One hose can fill the pool in 12 hours while another takes only 10 hours. How long will it take for the pool to be filled if both hoses are used?
5- Working alone, a landscaper could build a retaining wall in 38 hours, while his apprentice could build the wall in 62 hours. If t represents the number of hours it would take them to build the wall while working together, which equation is correct?
6- Every night after closing, the moat in the hippopotamus exhibit at a zoo is drained and cleaned. The zoo currently has one pipe that can drain the moat in 50 minutes. It is considering installing a second pipe to speed up draining. The table below shows different times that the new pipe might take to drain the moat alone. In each row of the table, fill in the number of minutes it would take for both pipes to drain the pool simultaneously. Round your answers to the nearest tenth of a minute, when necessary.

Answers

Answer:

Step-by-step explanation:

1. 1/40 + 1/x

2. 1/32 = 1/40 +1/x

3. $8 per hour

4. about 5.5 hours

5. 1/38 + 1/62 = t/x

6.

1. 16.7

2. 22.2

3. 26.2

4. 29.2

nice pfp

20. A 30 gallon tank is being filled at a rate of 2 gallons per minute. There was 6 gallons of
water in the tank to begin. Let y represent the total amount of water in the tank and m
represent the number of minutes. Write an equation to model the amount of water in the
tank.
Type a response
You have responded to 10 of 20 questions.
Submit
Apr 12

Answers

Answer:

Y= 2m + 6

Step-by-step explanation:

find the equation that is parallel to the line y=-5x-8 and passes through the point (7,-2).Write the equation in slope intercept form

Answers

An equation of a line that is parallel to the line y=-5x-8 and passes through the point (7, -2) is y = -5x + 33.

How to determine an equation of this line?

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical expression:

y - y₁ = m(x - x₁)

Where:

x and y represent the data points.m represent the slope.

Since the line is parallel to y=-5x-8, the slope is equal to -5.

At data point (7, -2) and a slope of -5, a linear equation for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - (-2) = -5(x - 7)  

y + 2 = -5x + 35

y = -5x + 35 - 2

y = -5x + 33

Read more on point-slope here: brainly.com/question/24907633

#SPJ1

The equation of the line that is parallel to y = -5x - 8 and passes through the point (7,-2) is y = -5x + 33, in slope intercept form.

How to find the the equation in slope intercept form

To find an equation that is parallel to the line y = -5x - 8, we know that it must have the same slope. So the slope of the new line is -5.

Now we use the point-slope form of a linear equation to find the equation of the line passing through (7,-2) with slope -5:

y - y1 = m(x - x1)

where m is the slope and (x1, y1) is the given point.

Substituting the values we get:

y - (-2) = -5(x - 7)

Simplifying and solving for y, we get:

y + 2 = -5x + 35

y = -5x + 33

Therefore, the equation of the line that is parallel to y = -5x - 8 and passes through the point (7,-2) is y = -5x + 33, in slope intercept form.

Learn more about slope intercept form at https://brainly.com/question/22057368

#SPJ1

help please? I just need an answer. A clear explanation earns brainliest.

Answers

Answer:

9. You don't need to take action because the denominator is the same. You only operate on the numerator.

10. Use equivalent fractions that do have a shared denominator if the denominators are not the same. To accomplish this, you must identify the two denominators' least common multiples (LCM). Rename the fractions having a common denominator before adding those with different denominators.

Step-by-step explanation:

9. You don't need to take action because the denominator is the same. You only operate on the numerator.

10. Use equivalent fractions that do have a shared denominator if the denominators are not the same. To accomplish this, you must identify the two denominators' least common multiples (LCM). Rename the fractions having a common denominator before adding those with different denominators.

Raquel is building a shelf for her wall. The length of the wall is 11 feet 3 inches, the self will be built on the center of the wall 1/3 the length of the wall

Answers

1/3 of the length of Raquel's wall is 1 9/12 feet.

In this case, Raquel wants to position the shelf at the center of the wall, which means it will be located at a distance that is 1/3 of the length of the wall from each end. So, the first step is to find the length of 1/3 of the wall.

To do this, we can use fractions. We know that the wall is 11 feet 3 inches long, which we can write as 11 3/12 feet (since there are 12 inches in a foot). Now, we need to find 1/3 of this length.

To find 1/3 of 11 3/12 feet, we can divide the total length by 3. This gives us:

11 3/12 ÷ 3 = 3 9/12 feet

We can simplify this fraction by dividing both the numerator and denominator by 3, which gives us:

3 9/12 ÷ 3 = 1 9/12 feet

To know more about length here

https://brainly.com/question/30100801

#SPJ4

What is the width of the pool?

Answers

Answer:

249 feet

Step-by-step explanation:

Hello!

Let the missing side be x.

We can use a trigonometric ratio to solve this question. The one we are going to use is Tangent.

There are 3 trigonometric ratios: Sin (Opposite/Hypotenuse), Cos (adjacent/hypotenuse), and Tan(Opposite/Adjacent).

We need to use the ratio that involves the 2 sides, 144 and x. That would be Tan, as x is opposite to 60°, and 144 is adjacent to 60°.

Solve for x:tan(60) = x/144tan(60) * 144 = x   => Plug tan(60) into a calculator, and multiply the result by 144.
249.415... = xx ≈249

The missing side is 249 feet.

CAN SOMEONE PLEASE HELP ME WITH THIS :((
What is the value or arc PQ? Only enter numerical values.​

Answers

The value of arc PQ is 110°

What is circumference of a circle?

The circumference of a circle is the length of the 360 degree arc of that circle. Therefore the sum of the arc on a circumference of a circle is 360°

Therefore ,

8x-10+ 6x + 10x+10 = 360

24x -10+10 = 360

24x = 360

divide both sides by 24

x = 360/24

x = 15

therefore the value of x is 15

Arc PQ = 8x -10

substitute 15 for x

ArcPQ = 8×15-10

= 120-10

= 110°

therefore the value of arc PQ is 110°

learn more about circumference from

https://brainly.com/question/29644055

#SPJ1

you are in charge of conducting a very important study on the efficacy of imitrex on migraine sufferers. you ask 25 women to test this drug. each of the 25 women is given 'excedrin for migraines' immediately after the onset of their first migraine, after which you measure the time it takes for the headache to subside. after the onset of their second migraine, you give them imitrex and again measure the time it takes for the headache to subside. assuming the data are normally distributed, which is the most appropriate statistical test to determine if imitrex works better than excedrin at eliminating migraines?

Answers

If the p-value obtained from the paired t-test is less than the predetermined level of significance (usually 0.05), then it can be concluded that there is a statistically significant difference between the two treatments, and that imitrex is more effective than excedrin at eliminating migraines.

To determine if Imitrex works better than Excedrin at eliminating migraines in your study, the most appropriate statistical test to use is the Paired Samples t-test.

This test is suitable because:
We have two related samples: the same 25 women are given both Excedrin and Imitrex, so their response times are paired.
We're comparing the mean response times between two treatments, which requires a t-test.

The data is assumed to be normally distributed.
To conduct the Paired Samples t-test, follow these steps:
Calculate the difference in response times for each woman (Imitrex time - Excedrin time).

Calculate the mean of these differences.

Calculate the standard deviation of the differences.

Determine the degrees of freedom (25 women - 1 = 24).

Using the mean, standard deviation, and degrees of freedom, calculate the t-statistic.
Compare the t-statistic to the critical value from the t-distribution table, using your chosen significance level (e.g., 0.05).
If the t-statistic is greater than the critical value, reject the null hypothesis, concluding that there's a significant difference between the effectiveness of Imitrex and Excedrin for migraine relief.

For similar question on t-distribution.

https://brainly.com/question/24277447

#SPJ11

To determine if Imitrex works better than Excedrin, the most appropriate statistical test to use would be a "paired t-test."

We are comparing the efficacy of Imitrex and Excedrin for Migraine in the same group of 25 women, with each woman acting as her own control. You are measuring the time it takes for the headache to subside after administering each drug. To determine if Imitrex works better than Excedrin, the most appropriate statistical test to use would be a "paired t-test."

Step-by-step explanation:

1. Record the time it takes for the headache to subside after administering Excedrin and Imitrex to each woman.
2. Calculate the difference in time for each woman between the two drugs.
3. Compute the mean and standard deviation of these differences.
4. Perform a paired t-test to compare the mean difference to 0 (no difference between the two drugs).
5. Assess the p-value obtained from the t-test. If the p-value is less than the significance level (usually 0.05), then you can conclude that there is a statistically significant difference between the two drugs, suggesting that Imitrex works better than Excedrin in eliminating migraines.

Learn more about statistical test here:

https://brainly.com/question/14128303

#SPJ11

5. This solid was created by joining two right rectangular prisms.
4½ cm
8 cm
4 cm
-9 cm
10½ cm
Enter the volume of the solid, in cubic centimeters.

Answers

The volume of the solid as shown in the diagram is 540 cm².

What is volume?

Volume is the space occupied by a solid shape.

To calculate the volume of the of the solid, we use the formula below

Formula:

V = LWH+lwh............................ Equation 1

Where:

V = Volume of the solid L = Length of the bigger prismW = Width of the bigger prismH = Height of the bigger prisml = Length of the smaller prismw = Width of the smaller prismh = Height of the smaller prism

From the diagram in question,

Given:

L = 10.5 cmW = 9 cmH = 4 cml = 9 cmw = 4.5 cmh = 4 cm

Substitute these values into equation 1

A = (10.5×9×4)+(9×4.5×4)A = 378+162A = 540 cm³

Hence, the volume is 540 cm³.

Learn more about volume here: https://brainly.com/question/1331127

#SPJ1

___________ is the number of individual buy orders and the total number of shares that wish to buy. ​

Answers

Buy-side order flow is the number of individual buy orders and the total number of shares that wish to buy. ​

This is a crucial metric that is used by traders, investors, and analysts to gauge the demand for a particular security or asset.

The buy-side order flow refers to the number of shares that market participants want to purchase at a given time, and it provides valuable insights into the sentiment of the market. If there are more buy orders than sell orders, then there is a higher demand for the security, which can lead to an increase in the price of the asset. On the other hand, if there are more sell orders than buy orders, then there is a higher supply of the security, which can lead to a decrease in the price of the asset.

Traders and investors use buy-side order flow data to help them make informed decisions about when to buy or sell a security. By analyzing the number of buy orders and the total number of shares that wish to buy, they can identify trends and patterns in the market, and adjust their strategies accordingly. Additionally, buy-side order flow data can be used to help identify potential support and resistance levels for a security, which can be useful in setting stop-loss orders and other risk management measures.

Overall, the buy-side order flow is an important metric that provides valuable insights into the sentiment of the market and helps traders and investors make informed decisions about their investments.

To learn more about number here:

https://brainly.com/question/29595846

#SPJ4

assume that for some statistic 1000 tests were performed. to avoid the situation of the incorrectly found significance, bonferroni correction was applied. the resulting p-value is 0.00013. what significance level was chosen for the tests? the significance level was:

Answers

The significance level chosen for the tests with total number of test performed as 1000 for given p-value is equal to 0.87 or 87%.

Total number of test performed = 1000

p-value is equal to 0.00013

The Bonferroni correction involves ,

Adjusting the significance level for multiple comparisons by dividing it by the number of comparisons performed.

Here, 1000 tests were performed and the resulting p-value is 0.00013.

The significance level that was chosen for the tests,

Reverse the Bonferroni correction by multiplying the p-value by the number of comparisons,

adjusted p-value = p-value / number of comparisons

number of comparisons = 1000

adjusted p-value = 0.00013

p-value = adjusted p-value x number of comparisons

⇒p-value = 0.00013 x 1000

⇒p-value = 0.13

So the original p-value before the Bonferroni correction was 0.13.

The significance level, we subtract the p-value from 1,

significance level = 1 - p-value

⇒significance level = 1 - 0.13

⇒significance level = 0.87

Therefore, the significance level chosen for the tests was 0.87 or 87%

learn more about significance level here

brainly.com/question/3487014

#SPJ4

A washer and dryer cost a total of 924
. The cost of the washer is three times the cost of the dryer. Find the cost of each item.

Answers

Answer:

washer=693
dryer=231

Step-by-step explanation:

3x+x=924
4x=924
x=231

This square-based pyramid is made of wire.
The edges of the base all have length 3.07 cm.
The other edges all have length 6.93 cm.
Find the total length of wire.

Answers

Answer: 40cm

Step-by-step explanation:

3.07 x 4 = 12.28

6.93 x 4 = 27. 72

12.28 + 27.72 = 40cm

Answer:

40 cm

Step-by-step explanation:

A square-based pyramid is a three-dimensional geometric shape with a square base and four congruent triangular faces that meet at a single point called the "apex".

The edges of a square-based pyramid consist of 4 congruent slant edges and 4 congruent base edges. The slant edges form the sides of the triangular faces, and the base edges connect the vertices of the base.

Given the edges of the square base are 3.07 cm, and the slant edges are 6.93 cm, the total length of the wire is:

[tex]\begin{aligned}\sf Total\;length\;of\;wire&=\sf 3.07 \times 4+6.93 \times 4\\&=\sf 12.28+27.72\\&=\sf 40\; cm\end{aligned}[/tex]

Therefore, the total length of the wire is 40 cm.

What is 2. 803 rounded to the nearest half​

Answers

Answer: 3

Step-by-step explanation:

Calcular el tiempo que tarda un ciclomotor a una velocidad de 45 km/h en realizar el mismo trayecto que un automóvil que circula a 90 km/h y tarda 3 horas en llegar a su destino

Answers

Por lo tanto, el ciclomotor tardaría 6 horas en recorrer la misma distancia que el automóvil que tarda 3 horas a una velocidad de 90 km/h. ¡Espero que esto te ayude!

Para calcular el tiempo que tarda un ciclomotor a una velocidad de 45 km/h en realizar el mismo trayecto que un automóvil que circula a 90 km/h y tarda 3 horas en llegar a su destino, necesitamos utilizar la fórmula de la velocidad media.
La velocidad media se calcula dividiendo la distancia recorrida por el tiempo que tarda en recorrerla.

Sabemos que el automóvil tarda 3 horas en llegar a su destino y circula a una velocidad de 90 km/h.

Por lo tanto, podemos calcular la distancia que recorre utilizando la fórmula de la distancia:
Distancia = Velocidad x Tiempo
Distancia = 90 km/h x 3 h
Distancia = 270 km
Ahora que sabemos que el automóvil recorre una distancia de 270 km, podemos calcular el tiempo que tardaría el ciclomotor en recorrer la misma distancia a una velocidad de 45 km/h utilizando la fórmula de la velocidad media:
Velocidad media = Distancia / Tiempo
Tiempo = Distancia / Velocidad media
Tiempo = 270 km / 45 km/h
Tiempo = 6 horas

For similar questions on Velocided

https://brainly.com/question/31240188

#SPJ11

Simplify (√5x³ × √9x⁶) ÷ √80x​

Answers

Answer:

8150.46 % 8.94x

Step-by-step explanation:

{ (√5x³ }× √9x⁶) ÷ √80x​

first brackets  

(√125 × √531441) ÷ √80x​

(√125 × √531441) ÷ √80x​

(11.1803398875 x 729) % √80x​

8150.46777799 % √80x​

8150.46777799 % 8.94427191x

Quadrilateral JKLM has vertices J(-1,3), K(2,0), L(-1,-6), and M(-4,-3). Determine whether each statement about quadrilateral JKLM is true or false.
(WRITE TRUE OR FALSE)

~1.) The quadrilateral is a parallelogram. {True/False}
~2.) Both pairs of opposite sides are congruent. {True/False}
~3.) The diagonals bisect each other. {True/False}
~4.) One pair of opposite sides is parallel. {True/False}
~5.) Both pairs of opposite aides is parallel. {True/False}
~6.) At least one pair of opposite sides is both parallel and congruent. {True/False}

Answers

The statements about the given quadrilateral are determined as follows:

1. False 2. False 3.True 4.False 5. False 6. False

What Statements are True about the Quadrilateral?

1.) The quadrilateral is a parallelogram. False

To be a parallelogram, opposite sides must be parallel. We can find the slope of each side:

Slope of JK = (0 - 3) / (2 - (-1)) = -1

Slope of KL = (-6 - 0) / (-1 - 2) = 2

Slope of LM = (-3 - (-6)) / (-4 - (-1)) = 1

Slope of MJ = (3 - (-3)) / (-1 - 2) = 2/3

Since the opposite sides do not have the same slope, the quadrilateral is not a parallelogram.

2.) Both pairs of opposite sides are congruent. False

To be a parallelogram, opposite sides must be congruent. We can use the distance formula to find the length of each side:

Length of JK = √((2 - (-1))² + (0 - 3)²) = √(13)

Length of KL = √((-1 - (-1))² + (-6 - 0)²) = 6

Length of LM = √((-4 - (-1))² + (-3 - (-6))²) = √(13)

Length of MJ = √((-1 - 2)² + (3 - (-3))²) = 6

Since the opposite sides do not have the same length, the quadrilateral does not have congruent opposite sides.

3.) The diagonals bisect each other. True

To check whether the diagonals bisect each other, we can find the midpoint of each diagonal:

Midpoint of JL = ((-1 - 1)/2, (3 - 6)/2) = (-1,-1.5)

Midpoint of KM = ((2 - 4)/2, (0 - 3)/2) = (-1,-1.5)

Since the midpoints of JL and KM are the same point, (-1,-1.5), the diagonals bisect each other.

4.) One pair of opposite sides is parallel. False

As we determined in statement 1, none of the pairs of opposite sides are parallel.

5.) Both pairs of opposite sides are parallel. False

As we determined in statement 1, none of the pairs of opposite sides are parallel.

6.) At least one pair of opposite sides is both parallel and congruent. False

As we determined in statements 1 and 2, none of the pairs of opposite sides are both parallel and congruent.

Learn more about quadrilateral on:

https://brainly.com/question/29635320

#SPJ1

consider all undergraduate students at a local university to be a population. in this population, the proportion of students who live on campus is 0.23. in a random sample of 300 students from this population, the proportion who live on campus is 0.19. we would call the number 0.19 a a. z-score. b. p-value. c. parameter. d. statistic. e. significance level.

Answers

The number 0.19 is a d. statistic, which represents a numerical summary of a sample. The z-score would be calculated by (0.19 - 0.23) / sqrt((0.23 * 0.77) / 300) and would indicate how many standard deviations the sample proportion is from the population proportion.

The p-value and significance level would be used in hypothesis testing to determine the likelihood of obtaining a sample proportion as extreme or more extreme than the observed proportion, assuming the null hypothesis is true.

The parameter is the true proportion of all undergraduate students at the local university who live on campus, which is estimated by the sample statistic.

Learn more about statistic:

https://brainly.com/question/30915447

#SPJ11

A two-bedroom house in Seattle was worth $400,000 in 2005. Its appreciation rate is 3.5% each year.
a. How much is the house worth in 2015?
b. When will it be worth $800, 000?
c. In Jacksonville, houses are depreciating at 2% per year. If a house is worth $200, 000 now, how much value
will it have lost in 10 years?

Answers

Answers:

(a)    $564,239.50

(b)    2026

(c)    $36,585.44

==========================================

Explanation:

Part (a)

One template for exponential equations would be

y = a*b^x

Another template is

y = a(1+r)^x

which is a bit more descriptive. I'll use the second template.

a = 400000 = starting valuer = 0.035 = growth rate in decimal form

r is positive for exponential growth or appreciation.

The equation y = a(1+r)^x updates to y = 400000*(1+0.035)^x and then simplifies to y = 400000*(1.035)^x

From here we plug in x = 10 because the year 2015 is ten years after 2005.

So,

y = 400000*(1.035)^x

y = 400000*(1.035)^10

y = 564239.504248449

y = 564239.50

The house is worth about $564,239.50 in the year 2015.

------------

Part (b)

We work the process of part (a) in reverse.

This time we know what y is and we want to solve for x.

Use logarithms to isolate the exponent.

y = 400000*(1.035)^x

800000 = 400000(1.035)^x

800000/400000 = (1.035)^x

2 = (1.035)^x

Log(2) = Log( (1.035)^x )

Log(2) = x*Log( 1.035 )

x = Log(2)/Log(1.035)

x = 20.1487916840008

If x = 20, then,

y = 400000*(1.035)^x

y = 400000*(1.035)^20

y = 795,915.545386338

y = 795,915.55

We're short of the goal of $800,000.

If x = 21, then

y = 400000*(1.035)^x

y = 400000*(1.035)^21

y = 823,772.589474859

y = 823,772.59

We've gone over the goal.

Somewhere between x = 20 and x = 21 is when the house will be worth exactly $800,000.

It's better to side with x = 21 since x = 20 comes up short.

21 years after 2005 is 2005+21 = 2026

------------

Part (c)

Go back to the template: y = a(1+r)^x

This time we have

a = 200,000r = -0.02

The r value is negative to indicate exponential decay or depreciation.

y = a(1+r)^x

y = 200000(1+(-0.02))^x

y = 200000(1-0.02)^x

y = 200000(0.98)^x

The 0.98 means the house keeps 98% of its value from year to year.

Plug in x = 10.

y = 200000(0.98)^x

y = 200000(0.98)^10

y = 163,414.56137751

y = 163,414.56

The house starts off at $200,000 and ten years later it's $163,414.56

Subtract the values to determine how much home value was lost.

200,000 - 163,414.56 = 36,585.44

The home value will have lost $36,585.44 over the 10 year period.

a packaging company strives to maintain a constant temperature for its packages that require a specific temperature range. it is believed that the temperature of packages follows a normal distribution with a mean of 5 degrees celsius and a standard deviation of 0.3 degree celsius. inspectors take weekly samples for 5 weeks of eight randomly selected boxes and report their temperatures. the five weekly sample means are shown in the table below. week 1 4.97 week 2 5.16 week 3 5.12 week 4 5.35 week 5 5.50 how many points are outside the control limits?

Answers

There are no points outside the control limits, since all of the weekly sample means are within the range of 4.7 to 5.3 degrees Celsius (the mean of 5 degrees Celsius plus or minus 0.3 degrees Celsius).

a penny, nickel, and dime are all flipped once. what is the probability that at least one coin comes up heads?

Answers

Answer: 25% chance

Step-by-step explanation: the chance is 25 % because theirs 3 coins each equaling 25 So, all 3 added will equal 75 %  and then, if the 1 coin landed on heads while the other 2 coins lands on heads that would minus 25% and 50% and get 25%.                                                                          

hopefully u consider me as a giga chad  :)

sketch the region in the plane consisitng of points whose polar coordinates satisfy the given conditions. 1

Answers

In summary, to sketch a region in the plane consisting of points whose polar coordinates satisfy the given conditions, we need to identify the range of values for the radius and angle that satisfy the conditions, plot points using these values, and connect them to form the region.

To sketch the region in the plane consisting of points whose polar coordinates satisfy the given conditions, we need to first understand what the conditions are. In this case, the conditions are not provided, so it's difficult to give a specific answer. However, generally speaking, polar coordinates represent a point in the plane using a radius and an angle. The radius is the distance from the origin to the point, and the angle is the angle formed between the positive x-axis and a line drawn from the origin to the point.
To sketch a region in polar coordinates, we need to identify the range of values for the radius and angle that satisfy the given conditions. We can then plot points in the plane using these values and connect them to form the region.
For example, if the conditions were that the radius must be greater than 2 and the angle must be between pi/4 and 3pi/4, we would plot points with polar coordinates (r, theta) where r > 2 and pi/4 < theta < 3pi/4. We would then connect these points to form the region.

Learn more about polar coordinates here: brainly.com/question/12685970

#SPJ11

Verify that the segments are parallel.

10. CD || AB

Answers

This means that the corresponding sides of the two triangles are in proportion, and therefore CD is parallel to AB, as required.

What is triangle?

A triangle is a polygon with three sides and three angles. It is one of the basic shapes in geometry and is often used in mathematics, science, engineering, and art. Triangles can be classified into different types based on the length of their sides and the size of their angles. Triangles are used in various applications, such as in the construction of buildings, bridges, and other structures, as well as in navigation and surveying. They are also important in various fields of mathematics, including trigonometry and geometry.

Here,

To use similarity theorems to show that CD is parallel to AB, we need to first establish that triangles AEB and CED are similar. If we can show that these triangles are similar, then we can use the corresponding angles theorem, which states that if two pairs of corresponding angles are congruent, then the lines containing the sides are parallel.

Let's compare the two triangles AEB and CED:

Angle AEB is congruent to angle CED (both are vertical angles).

Angle EAB is congruent to angle ECD (both are alternate interior angles formed by a transversal cutting parallel lines AB and CD).

Angle BAE is congruent to angle DCE (both are alternate interior angles formed by a transversal cutting parallel lines AB and CD).

Therefore, we have established that triangles AEB and CED are similar by the angle-angle-angle similarity theorem.

Now that we have shown that the triangles are similar, we can use the corresponding sides theorem, which states that the corresponding sides of similar triangles are in proportion, to find out if CD is parallel to AB.

The corresponding sides of AEB and CED are:

AE/CE = AB/CD

Substituting the given values, we have:

AC + CE / CE = AB / BD

4 + 12 / 12 = AB / (14/3)

16/12 = AB / (14/3)

AB = (16/12) x (14/3)

= 56/9

Now we can use the corresponding sides theorem to find the length of CD:

AE/CE = AB/CD

Substituting the values we have found, we get:

4/12 = (56/9)/CD

CD = (56/9) x (12/4)

= 14

Since we have found that AB = 56/9 and CD = 14, we can see that:

AB/CD = (56/9)/14

= 4/3

This means that the corresponding sides of the two triangles are in proportion, and therefore CD is parallel to AB, as required.

To know more about triangle,

https://brainly.com/question/28600396

#SPJ1

verify that the given functions are solutions of the homogeneous linear systempute the wronskian of the solution set. on the basis of this calculation, can you assert that the set of solutions forms a fundamental set?if the given solutions form a fundamental set, state the general solution of the linear homogeneous system. express the general solution as the product , where is a square matrix whose columns are the solutions forming the fundamental set and c is a column vector of arbitrary constants.if the solutions form a fundamental set, impose the given initial condition and find the unique solution of the initial value problem.

Answers

Given functions:

f1(x) = e^2x

f2(x) = e^-x

The homogeneous linear system is:

y' = Ay

where A = [2 -1]

The Wronskian of the solution set is:

W(f1, f2) = e^3x - e^-x

Since the Wronskian is not equal to 0

A circle with center O and radius 5 has central angle XOY. X and Y are points on the circle. ​If the measure of arc XY is 90 degrees, what is the length of chord XY?

Answers

The length of chord XY is 5√2.

What is the length of the chord?

It is described as the line segment that connects any two points on the circle's circumference without going through the circle's center. As a result, the diameter is the chord of a particular circle that is the longest and goes through its center. In mathematics, determining the chord's length can be crucial at times.

Here, we have

Given: A circle with center O and radius 5 has a central angle XOY. X and Y are points on the circle. ​If the measure of arc XY is 90 degrees.

We have to find the length of chord XY.

∠XOY = 90°

OX = OY = 5

We draw a perpendicular from the center to chord XY bisect XY at D.

Now, since OD bisects ∠XOY

∠XOD = ∠YOD = 90°/2 = 45°

Now, in ΔXOD

sin45° = XD/OX

1/√2 = XD/5

5/√2  = XD...(1)

In ΔYOD

sin45° = YD/OY

5/√2  = YD...(2)

Adding (1) and (2), we get

XD + YD = 5/√2 + 5/√2

XY = 5√2

Hence, the length of chord XY is 5√2.

To learn more about the length of the chord from the given link

https://brainly.com/question/26094865

#SPJ1

Other Questions
where would a volcano least likely occur? mid-ocean ridge convergent plate boundary transform plate boundary hot spot above a mantle plume could the sedimentary rock shale become a schist or even a gneiss through the process of metamorphism? if so, describe the process involved including any series of steps required. Nicole purchased a house for $475,000. She made a downpayment of 25% of the value of the house and received a mortgage for the rest of the amount at 5.50% compounded semi-annually for 20 years. The interest rate was fixed for a 5-year term. a. Calculate the size of the monthly payments. $0.00 E Round to the nearest cent b. Calculate the principal balance at the end of the 5-year term. b. Calculate the principal balance at the end of the 5-year term. $0.00 Round to the nearest cent C. Calculate the size of the monthly payments if after the first 5-year term the mortgage was renewed for another 5-year term at 5.25% compounded semi-annually? $0.00 E Round to the nearest cent true or false. all else being equal, eccentricity in loading improves the ability of a line weld to support the load. Instructions: Read the following case and answer questions stated after the case. (Word limit: 200 words)Khursheed Anwar is 19 years old. He has great interest in IT computer hardware and software, internet, programming languages, and the like. He wants to live a very successful life. His elder cousin, who is studying BBA, has asked him to craft a compelling personal vision as a first step to live a successful life. Khursheed drafted this personal vision: "After 10 years, I want to establish my own advertising company having a large client base, operate a successful travel agency, and run an exclusive boutique for upper-class clients. " He made several goals as per the advice of his "guru cousin. " His cousin had advised him to make goals SMART. He decided to get admission in a leading institute to study ACCA. Another goal that he made is to start learning guitar to impress and entertain relatives and friends in gatherings. He did SWOT analysis as per his cousins advice and in the strength quadrant he had listed computing, programming and physics. Your task:A. What is/are the actual problem/s of Khursheed Anwer? B. What would you suggest Khursheed to rectify these issues based on your knowledge of personal vision, SMART goals, self-esteem and critical thinking? 16) prostaglandins play a role in . a) skeletal muscle contraction b) control of blood volume c) noninflammatory responses d) control of blood pressure Find the value of x . Write the answer as a fraction in simplest form or a decimal rounded to the nearest hundredth. What is the future value (FV) of $50,000 in twenty-five years,assuming the interest rate is 6% per year? Unhealthy health habits are difficult to change because:A. It's impossible to change a habitB. Being healthy is impossibleC. They become so natural you don't realize you are doing themD. You have to do it alone without any help I NEED HELP ON THIS ASAP! JUST THE QUESTION BELOW THE TABLE The density of chlorine (Cl2) gas at 25C and 60. kPa is __________ g/L.204.91.70.860.58 the buildup of excess salts in irrigated soils can result in increased ph if the salts are high in sodium bicarbonate.A. TrueB. False According to Noble INC.s balance sheet as of Dec. 2021, the company has $771,000 in Current Assets and $495,000 in Current Liabilities. The companys quick ratio is 0.8. Calculate the companys inventories as of Dec. 2021. (Round to the nearest dollar) what property of oric in e. coli allows the double-stranded dna to be more easily separated than the rest of the genome? in a macrosociological examination of street people, one would study __________. The initial volume of air in the rubber balloon was 2 liters, and it was at a temperature of 293 K. The balloon was placed in the parked car, where the volume increased to 2.5 liters. What was the temperature inside the parked car in C?a. 3Cb. 93.25Cc. 75.53Cd. 366.25C the geneva conventions were established with the purpose of establishing__________ standards for the humane conduct of war. true or false ekman and friesen have identified six primary emotions displayed by the face; one of those basic emotions is jealousy. a survey reports that 67% of college students prefer to drink more coffee during the exams week. if we randomly select 80 college students and ask each whether they drink more coffee during exams week. what is the probability that at most 60 say that they drink coffee during exam week? describe the difference between reading on paper and reading on a computer display. be sure to list at least three disadvantages for each method.