The price of a home is $450,000. The bank requires a 5% down payment. After the down payment, the balance is financed with a 30-year fixed-rate mortgage at 7%. Determine the monthly mortgage payment (excluding escrowed taxes and insurance) to the nearest dollar.

Answer:

Area: 28.26ft², Circumference: 18.84ft

Step-by-step explanation:

Area of a circle: πr²

Circumference of a circle: πd (or 2πr)

Since the diameter is 6ft, then the radius is half of that, which is 3ft. This means that our area is:

πr²

π(3)²

π(9)

9π

9(3.14)

28.26ft²

Our circumference is:

πd

π(6)

6π

6(3.14)

18.84 ft

Answer:

Commission rate is 20%.

Step-by-step explanation:

Joey's weekly salary is $325

Plus a commission on his total sales.

Let commission is x% on his total sales.

So, we can set up equation for the given information as

325+x%(2950)= 915

Solve this equation for x%.

Subtract both sides 325

x%(2950) =590

Divide both sides by 2950

x%=0.2

We know x% means it is \(\frac{x}{100}\)

So, \(\frac{x}{100} =0.2\)

Multiply both sides by 100

x=20%.

So, commission rate is 20%

The probability that there is at least one person who wins no games in the given scenario is 28/81.

To find the probability that there is at least one person who wins no games in a game of three players repeated four times, we can break it down into different cases.

Case 1: One player wins all four games.

In this case, there are three ways to choose the player who wins all four games. For each chosen player, there is only one possible outcome. So, the probability of this case happening is (3 players to choose from) * (1 outcome) = 3.

Case 2: Two players each win two games.

In this case, we need to choose two players out of the three who will win two games each. There are three ways to choose the two players. For each chosen pair of players, there are (2^4)/2 = 8 possible outcomes. This is because each pair can win their games in different orders, and the other player loses all four games. So, the probability of this case happening is (3 players to choose from) * (8 outcomes) = 24.

Case 3: Each player wins one game.

In this case, all three players win one game each. There is only one possible outcome for this case. So, the probability of this case happening is (1 outcome).

Now, we can calculate the probability of at least one person winning no games by adding up the probabilities of each case and dividing it by the total number of possible outcomes.

Total number of possible outcomes = 3^4 (each player can win or lose each game)

Probability of at least one person winning no games = (Probability of case 1 + Probability of case 2 + Probability of case 3) / Total number of possible outcomes
                                                = (3 + 24 + 1) / 81
                                                = 28 / 81

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The number of buttons that she can wear proudly will be 5.

The ratio is the division of the two numbers. In reality, ratios and proportions are only two sides of the same coin. A proportion is what results when two ratios are equal. Typically, fractions are used to define ratios and proportions. A ratio is created when we use the symbol ":" to denote a fraction, and a percentage is created when we use "::" to represent two ratios.

For example,

a/b, where a and b represent the numerator and denominator, respectively.

The relationship between two variables is called a proportion.

As per the given question,

Cost of one button = $0.28

The cost of buttons that she can wear = $1.40

A number of buttons = $1.40/$0.28 = 5

The number of buttons that she can wear proudly will be 5.

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Let μ be the mean of the distribution and let σ be its standard deviation.

We know that 54 falls two standard deviations above the mean, this can be express as:

We also know that 42 falls one standard deviation below the mean, this can be express as:

Hence, we have the system of equations:

To find the mean we solve the second equation for the standard deviation:

Now we plug this value in the first equation:

Therefore, the mean of the distribution is 46

Answer:

Hi im filipino :))

Step-by-step explanation:

Thanks for the points

The statement "Text in a novel is an example of unstructured data" is true.

Unstructured data refers to data that does not have a predefined format or organization. It does not follow a specific data model and is not easily searchable or analyzable using traditional methods.

Text in a novel is an example of unstructured data because it consists of paragraphs, sentences, and words that are not organized in a structured manner.

The text does not have a fixed schema or predefined fields. Each novel can have a unique writing style, narrative structure, and content, making it unstructured data.

Analyzing and extracting insights from unstructured data like text in a novel often require natural language processing techniques and advanced algorithms to make sense of the information contained within the text.

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Given: AQ ≅ RQ, it should be noted that AQY ≅ RQF based on SAS Congruence. Therefore, AQY ≅ RQF.

Given: AQ ≅ RQ

∠YAF and ∠FRY are right angles.

Prove: AQY ≅ RQF

1. AQ ≅ RQ (Given)

2. ∠YAF and ∠FRY are right angles (Given)

3. ∠AQY = ∠RQF (Vertical angles are congruent)

4. AQ = RQ (Given)

5. AY = RY (Side-Angle-Side Congruence)

6. ∠QYA = ∠RFQ (Angle-Side-Angle Congruence)

7. AQY ≅ RQF (SAS Congruence)

Therefore, AQY ≅ RQF.

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Given: AQ ≅ RQ

∠YAF and ∠FRY are right angles.

Prove: AQY ≅ RQF

a. The events are dependent because the outcome of one cube affects the outcome of the other cube.

b. The probability of rolling an even number on the white cube and a sum of 8 is 3/36, or 1/12.

a. The outcomes of one cube influence the outcomes of the other cube, hence the events are interdependent.

There are just a few conceivable results for the black cube if the white cube displays an even number: 2 and 6, 3 and 5, or 4 and 4.

As a result, there are fewer outcomes that could happen, making the events dependent.

b. A sum of 8 and an even number on the white cube have a probability of 1/12, or 3/36.

This is due to the fact that there are three possible outcomes when rolling an 8 with an even and an odd number (2-6, 3-5, or 4-4).

Three of the 36 potential outcomes meet the requirements. The likelihood is therefore 3/36.

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The limit of P(t) as t approaches infinity with c = 0.05, K = 3000, and P₀ = 750 is given by: lim t→∞ P(t)

To find the limit, we can substitute the given values into the Gompertz function:

dP/dt = c ln(KP)P

With c = 0.05, K = 3000, and P₀ = 750, the differential equation becomes:

dP/dt = 0.05 ln(3000P)P

To solve this differential equation, we can separate the variables and integrate:

∫ dP/P(ln(3000P)) = ∫ 0.05 dt

Integrating both sides, we have:

ln|ln(3000P)| = 0.05t + C

Here, C is the constant of integration. We can determine C using the initial condition P₀ = 750:

ln|ln(3000 * 750)| = 0.05 * 0 + C

ln|ln(2250000)| = C

Next, we can rewrite the equation in exponential form:

|ln(3000P)| = e^(0.05t + C)

Since the absolute value of the natural logarithm is always positive, we can remove the absolute value notation:

ln(3000P) = e^(0.05t + C)

Now, let's solve for P:

3000P = e^(0.05t + C)

P = e^(0.05t + C)/3000

Finally, we can substitute the value of C and simplify the equation:

P = e^(0.05t + ln|ln(2250000)|)/3000

Now, as t approaches infinity, the exponential term e^(0.05t + ln|ln(2250000)|) will grow without bound, and P will approach its carrying capacity K = 3000. Therefore, the limit of P(t) as t approaches infinity is:

lim t→∞ P(t) = K = 3000

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Answer:

5.5 hours

Step-by-step explanation:

1. Understand

A person can travel at the speed of 40 miles per hour (mph). If the speed is increased by 50%, how long will it take to cover 330 miles?

a. What is asked?  How long will it take to cover 330 miles travelling at a speed 50% greater than 40 mph

b. What are the given facts?

Current Speed = 40 mph

New Speed = 40 mph + 50% of 40 mph

Distance = 330 miles

2. Plan

Calculate the new speed and then use the two speeds to calculate time based on Distance = Speed x Time

What is the formula to solve the problem?

Distance = Speed x Time

3. Solve

Show your solution.

Original Speed = 40 mph

New Speed = 40 + (0.5)*(40):  New = 60 mph

Time at New Speed is:

Distance = Speed x Time

330 miles = (60 mph)*(Time)

Time = (330 miles)/(60 miles/hour)

Time = 5.5 hours

4. Check

Distance = Speed x Time

How far does a person travel going 60 miles/hour for 5.5 hours?  Is it 330 miles?

Distance = (60 mph)*(5.5 hours)

Distance = 330 miles

YES

g(4) = 1 * g(4), which means that q(4) is equal to g(4). y(-4) = f(-4) * h(-4) = 1 * (-4) = -4. Therefore, the values of q(4), y(-4), and y(4) are determined as follows: q(4) = g(4), y(-4) = -4, and y(4) = 0.

For the first part of the problem, we are given f(t) = u(t), g(t) = 2tu(t), and g(t) = f(t - 1) * g(t). To determine q(4), we need to substitute t = 4 into the equation g(t) = f(t - 1) * g(t). This gives us g(4) = f(3) * g(4). Since f(t) = u(t), we know that f(3) = u(3) = 1 because u(t) is a unit step function that equals 1 for t ≥ 0. Therefore, we have g(4) = 1 * g(4), which means that q(4) is equal to g(4).

For the second part of the problem, we are given f(t) = u(-t), h(t) = tu(-t), and y(t) = f(t) * h(t). To determine y(-4) and y(4), we substitute t = -4 and t = 4 into the equation y(t) = f(t) * h(t). For y(-4), we have y(-4) = f(-4) * h(-4). Since f(t) = u(-t), we have f(-4) = u(4) = 1 because u(t) is a unit step function that equals 1 for t ≥ 0. Similarly, h(-4) = -4u(4) = -4. Therefore, y(-4) = f(-4) * h(-4) = 1 * (-4) = -4.

Similarly, for y(4), we have y(4) = f(4) * h(4). Since f(t) = u(-t), we have f(4) = u(-4) = 0 because u(t) is a unit step function that equals 0 for t < 0. Thus, y(4) = f(4) * h(4) = 0 * h(4) = 0.

Therefore, the values of q(4), y(-4), and y(4) are determined as follows: q(4) = g(4), y(-4) = -4, and y(4) = 0.

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Answer:

awnser one is 7 and question 2 is -10

Step-by-step explanation:

−12−2−−55=?  question one

In the first fraction, the negative numerator and negative denominator cancel each other.

Since the the second fraction is negative and you are subtracting, remove the negative sign and switch the operation to addition.

The equivalent equation is

122+55=?

The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.

LCD(12/2, 5/5) = 10

Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.

(122×55)+(55×22)=?

Complete the multiplication and the equation becomes

6010+1010=?

The two fractions now have like denominators so you can subtract the numerators.

Then:

60+1010=7010

Since 70 divided by 10 equals 7 then,

7010=7

Therefore:

−12−2−−55=7    

Question 2

−81+6−3=?

In the second fraction, move the negative sign from the denominator to the numerator and the value remains the same.

The equivalent equation is

−81+−63=?

The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.

LCD(-8/1, -6/3) = 3

Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.

(−81×33)+(−63×11)=?

Complete the multiplication and the equation becomes

−243+−63=?

The two fractions now have like denominators so you can add the numerators.

Then:

−24+−63=−303

Since -30 divided by 3 equals -10 then,

−303=−10

Therefore:

−81+6−3=−10

Solution by Formulas

Apply the fractions formula for addition, to

−81+6−3

and solve

(−8×−3)+(6×1)1×−3

=24+6−3

=30−3

=−10

Answer:

No

Step-by-step explanation:

There is only 10 more percent to reach hundred because the mean is 90 percent.

Saving money on transportation from the given option except having your own car.

As given in the question,

Reason of saving the money on the different ways of transportation:

a. Living close to campus : This is best way to save money , here no transport is required , you can walk and save money of transportation,

b. Taking the bus: This is best way to save money, it is a public transportation where we have to pay minimum charges of transportation.

c. Biking : In biking if you are using bicycle then it is considered as the cheapest way to use any transportation and save money.

d. Having your own car: This mode of transportation is not considered to save money. Here average is quiet less and more fuel is used one cannot save money using this transportation.

Therefore, saving money on transportation from the given option except having your own car.

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Answer: D. Having your own car.

Step-by-step explanation: Took the quiz!

Answer:

y=4/5x+5

Step-by-step explanation:

because this is the answer

Answer: y = 2/5x + 5

Step-by-step explanation:

m = (1-5)/(-5-5)  = -4 / 10 = -4 / 10 divided by -2 = 2/5

(0,5) is the y-intercept B = 5

Therefore, y = 2/5x + 5

The high temperature for today using a 3-day moving average is 92 degrees.

To calculate the high temperature for today using a 3-day moving average, we take the average of the temperatures from the past three days, including today.

Given the daily high temperatures in St. Louis for the last week:

92, 92, 93, 95, 95, 86, 95 (yesterday)

To find the 3-day moving average for today's high temperature, we consider the temperatures from yesterday, the day before yesterday, and three days ago.

(95 + 86 + 95) / 3 = 92

Therefore, the high temperature for today, calculated using a 3-day moving average, is approximately 92 degrees Fahrenheit, rounded to one decimal place.

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Answer:

\(\sqrt{13}\)

Step-by-step explanation:

let the 3rd side, the hypotenuse, be x

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

x² = 2² + 3² = 4 + 9 = 13 ( take square root of both sides )

x = \(\sqrt{13}\)

Answer:

Step-by-step explanation:

It is a right triangle and you have the measure of the cathets, we use the Pythagorean theorem

√(3² + 2²) =

√(9 + 4) =

√13

The factored form of 3y - 18 using the G.C.F. is 3 * (y - 6).

What is the factor?

Factor is a mathematical expression or a number that divides another expression or number evenly. The factor of an expression is a number that divides the expression evenly, leaving no remainder.

The expression 3y - 18 can be factored using the greatest common factor (G.C.F.) of 3.

The G.C.F. of 3 and 3y is 3.

So, 3y - 18 can be factored as:

3 * (y - 6)

Hence, The factored form of 3y - 18 using the G.C.F. is 3 * (y - 6).

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Therefore, the solar flux density for mercury after the calculation is 9.12 x 10⁻³ W/m².

The solar flux density also referred to as the solar constant is the total amount of energy derived from the sun per unit area per given unit of time. It is considered to be equal to solar luminosity divided by the surface area of a given sphere that has a radius equivalent to the distance between the respective planet from the sun.

using the formula for finding the solar flux density,

solar flux density =  solar luminosity /(4 x π x distance between mercury and the sun)

solar flux density =  3.865 x \(10^{26}\) /(4 x π x ( 5.791 x \(10^{10}\)))

solar flux density = 9.12 x 10⁻³ W/m²

Therefore, the solar flux density for mercury after the calculation is 9.12 x 10⁻³ W/m².

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Answer:

-9

Step-by-step explanation:

-18 divided by 3 is -6

(-15)-(-6) is -9

Answer:

= 69

Step-by-step explanation:

Combine multiplied terms into a single fraction, Distribute, then Multiply all terms by the same value to eliminate fraction denominators.

1) 5/9 ( y + 3 ) = 40 or 5(y + 3) / 9 = 40

2) 5y + 15 / 9 = 40

3) 9 ( 5y + 15 / 9) = 9 40

False , the variance and standard deviation are not measures of central location

Given data ,

The variance and standard deviation are not measures of central location but measures of dispersion or spread of a dataset

Measures of central location include the mean, median, and mode, which represent the typical or central value of a dataset

The variance and standard deviation are measures of dispersion or spread in a dataset. They provide information about how the values in a dataset are spread out around the mean.

In order to understand the variability or dispersion of data points within a dataset, one must take into account both the variance and standard deviation. They provide information on the range of values and aid in calculating how far away from the mean certain data points are. In statistics and data analysis, these metrics are frequently used to comprehend and evaluate the variance of various datasets.

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Answer:

9 rides

Step-by-step explanation:

You would first have to take 35-12.5 due to that being the cost to enter. Your left with 22.5 which then, you divide by your 2.5 for each ride. When you do that, you get 9 which leaves you with our answer.

Answer:

m∡QPR = 25°

Step-by-step explanation:

solve for 'x':

8x + 7 + 9x + 16 = 40

17x + 23 = 40

17x = 17

x = 1

m∡QPR = 9(1) + 16

m∡QPR = 25°

There are 5 cars on saturat are a car fair.8 cars thursaday and 9 times as manu on saturat now manu cars ser a there than thursday altogether.

A. 34

B.23

C.2

D.56

Answer:

My answer would be C or D.