Ethyl and Forsythe P. Jones have just purchased a house for $460,000 with a 10% down payment. Riverdale Trust has offered them a mortgage rate of 4.9% (compounded semi-annually) and they plan on paying the mortgage off in 25 years with monthly payments. a. What is their monthly rate to be applied to the mortgage b. What are their monthly payments? c. How much do they owe after the first five years have passed? d. How much interest did they pay in the first five years? e. If they renegotiate their mortgage at 5.9% what are their new semi-monthly payments (They are paying off the amount outstanding in part c) f. If they make payments of $3,000 every four months for the first five years how does this change your answer to part d?

Answer:

Total 100% or 25 students

Swimming 36%  or 9 students

Lacrosse 48%  or 12 students

Volleyball 16% or 4 students

Step-by-step explanation:

To do a circle graph, you draw a circle and divide it into all sections.

To know the size of each section, you need to know the total number of every category.

You could draw it with percent.

100% is total, and you know the percent of each sport.

They told you 12 students choose lacrosse so, this represents 48%.

Now, you can find the other numbers with cross-multiplication.

48%____12

100%____X=

X=(100x12)/48=25

Total students: 25

Students that named lacrosse: 12 or 48%

100%____25

16%____X=

X=(16x25)/100=4

Students that named Volleyball: 4 or 16%

100%____25

36%____X=

X=(36x25)/100=9

Students that named Swimming: 9 or 36%

To confirm: 12 + 9 + 4 = 25

Brainlist Pls!

Answer:

50

Step-by-step explanation:

Answer:

6.76x10^5

^ represents to the 5th power

Step-by-step explanation:

Answer: Yes

Step-by-step explanation: All vertical lines have the same slope and because of that they are always parallel.

Step-by-step explanation:

IN ΔAMN ΔABC

Since MN∣∣BC

∠AMN=∠ABC (Corresponding angles)

∠ANM=∠ACB (Corresponding angles)

∴ΔAMN∼ΔABC(By $$AA similarity criterion)

⇒

AB

AM

=

AC

AN

=

BC

MN

(CPST)

Since, M is mid-point of AB,

AM=

2

1

AB,or,

AB

AM

=

2

1

or,

AB

AM

=

AC

AN

=

2

1

AC

AN

=

2

1

5

AN

=

2

1

[∵AC=5cm]

AN=

2

5

cm=2.5cm

Also,

AB

AM

=

BC

MN

=

2

1

7

MN

=

2

1

[∵BC=7cm]

MN=

2

7

=3.5

Ans=AN=2.5cm and MN=3.5cm

solution

Answer:

40%

Step-by-step explanation:

100-60=40

Answer:

I FIGURED IT OUT!

Step-by-step explanation:

a = 3

b = 3

c = 5

d = 2

give me brainliest

Answer:

360 degrees

Step-by-step explanation:

Answer:

x=10

Step-by-step explanation:

Answer:

Mild- 5x=50 4x=40  

Medium- 90- 48=42, 42/2=21 so, 2x=21    

Spicy- 90-25=65, 65+18=83

Step-by-step explanation:

I'm gonna guess that this is the angle measurement so.....

Answer: 13750+262=14,012 ft^3

Step-by-step explanation:

Hello!!!

Find the volume of the bottom and top separately and then add them. Cylinder volume is the area of the bottom times the height (22/7)(5^2)•175=13750 ft^3

The volume of a sphere isV=(4/3)(22/7)r^3where r is the radius.  also 5 since it fits on the cylinder. Also we only want half the sphere so useV=(2/3)(22/7)•5^3=261.9 ft^3 round upto 262. Now add  together 13750+262=14,012 ft^3

Hope this helps~!!!!!

Answer:

V= 5224.96

Step-by-step explanation:

To find the volume for a cylinder, you need to use the formula

V=(pi)r^2h.

The question gives is the diameter. The radius is half of the diameter, so you would divide by 2.

16/2 = 8.

Now we plug in the numbers and solve.

V= (pi) 8^2(26)

V= (pi)(64)(26)

V=(pi)(1664)

V= 5224.96

Answer:

21

Step-by-step explanation:

I haven't done this in a long time but this is what I know: the discount would overall be 25%. So, you set it up by .25(84) = 21. Therefore the jacket would cost $21.

I hope this is right and helps!

The binary expansion of (badfaced)16 is 10111010111111011010111110101101 2.

In order to convert (badfaced)16 from its hexadecimal expansion to its binary expansion, we need to follow the steps below:

Step 1: Write down the hexadecimal number (badfaced)16

Step 2: Write the binary equivalent of each hexadecimal digit (use the table below)

Step 3: Combine all the binary digits to get the answer

Table showing the binary equivalent of each hexadecimal digit Binary Equivalentb00001011a00001010d00001101f00001111a00001010c00001100e00001110d00001101

Step 2: Writing the binary equivalent of each hexadecimal digit(badfaced)16 = b a d f a c e d

Step 3: Combining all the binary digits to get the answer(badfaced)16 = 10111010111111011010111110101101 2

Thus, the binary expansion of (badfaced)16 is 10111010111111011010111110101101 2.

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Answer:

64

Step-by-step explanation:

square= 16

triangle= 12

12*4 = 48+16 = 64

Answer:

64 m²

Step-by-step explanation:

Hello There!

The surface area is the total area of the figure

So in order to find the area we need to find the area of each shape

For the square:

the square has a length of 4 so we can simply find the area by squaring it

4 * 4 = 16

so the area of the square is 16 square meters

Now we need to find the area of the triangles

The formula for area of a triangle is

[tex]A=\frac{bh}{2}[/tex]

where b = base and h = height

The triangles dimensions are:

base - 4m

height - 6m

having found these dimensions we plug them in into the formula

[tex]A=\frac{4*6}{2} \\4*6=24\\\frac{24}{2} =12[/tex]

so the area of one of the triangles is 12 square meters

We want to find the total area of all of the triangles

To do so we multiply the area of one triangle by 4 (because there are four triangles)

12 * 4 = 48

So the total area of the four triangles is 48 square meters

Finally we add the two areas

48 + 16 = 64

so we can conclude that the total surface area of the pyramid is 64 m²

Answer:

First of all, we have to make area km by multiplying 10 then solve, the answer is 5

The probability that a randomly selected adult female has a pulse rate less than 70 beats per minute is about 0.4371.

a. To find the probability that a randomly selected adult female has a pulse rate less than 70 beats per minute, one have to calculate the z-score and use the standard normal distribution.

The z-score can be calculated as:

z = (x - μ) / σ

where:

x =  the value (70 beats per minute)

μ = the mean (72.0 beats per minute)

σ = the standard deviation (12.5 beats per minute).

So putting it into the formula, it will be:

z = (70 - 72.0) / 12.5

z = -0.16

One can know probability using the z-score.

Check z-score in the standard normal distribution table, and the value will be 0.4371 (rounded to four decimal places).

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Answer:

find the cube root of 216 to get the length of one side as you get the volume of a cube by length x length x length

Step-by-step explanation:

the the cube root of 216 is 6

so the length of one side is 6 inches

Hope This Helps :)

Answer: I think it is 54 because there are four sides of a cube. So I just did 216/4 and got 54.

Step-by-step explanation:

Might be wrong but this is what I think the answer is.

The answer would be 4m

The investment choice that carries the greatest price risk is common stocks. (Option-A)

Common stocks are shares of ownership in a company and their price can be very volatile, changing rapidly depending on market conditions and factors affecting the company. Their prices can be influenced by factors such as overall economic conditions, company financial performance, and investor sentiment.

On the other hand, preferred stocks and corporate bonds are typically less risky than common stocks. Preferred stocks are a type of stock that pays a fixed dividend and has a priority claim on company assets in the event of bankruptcy, while corporate bonds are debt instruments that pay a fixed interest rate.

Lastly, government bonds are considered the least risky of all of these investment choices because they are backed by the government, which has a reputation for always repaying its debts.

In summary, while all types of investments carry some level of risk, common stocks have the greatest price risk due to their volatility and sensitivity to changing market conditions.(Option-A)

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The Argument Principle for meromorphic functions states that the integral of the logarithmic derivative of a meromorphic function around a closed curve is equal to 2πi times the sum of the winding numbers of the curve around its zeros and poles. This result is derived using the Residue Theorem and the properties of zeros and poles.

To prove the Argument Principle for meromorphic functions, we start by considering a meromorphic function f(z) on a closed curve C, where f(z) is holomorphic except at a finite number of isolated singularities (poles and/or removable singularities) within the region enclosed by C. We assume that C is positively oriented.

The Argument Principle states that the integral of the logarithmic derivative of f(z) along the curve C is equal to 2πi times the sum of the winding numbers of the curve around the singularities of f(z) within the region enclosed by C. Mathematically, it can be expressed as:

∮C (f'(z)/f(z)) dz = 2πi (N - P)

where N is the sum of the winding numbers of C around the zeros of f(z) and P is the sum of the winding numbers of C around the poles of f(z).

To prove this, we can use the Residue Theorem. First, we write f(z) as a product of its zeros and poles:

f(z) = (z - z₁)^(n₁) (z - z₂)^(n₂) ... (z - z_N)^(n_N) / (z - w₁)^(m₁) (z - w₂)^(m₂) ... (z - w_P)^(m_P)

where z₁, z₂, ..., z_N are the zeros of f(z) with respective multiplicities n₁, n₂, ..., n_N, and w₁, w₂, ..., w_P are the poles of f(z) with respective multiplicities m₁, m₂, ..., m_P.

Taking the logarithmic derivative of f(z), we get:

(f'(z)/f(z)) = ∑ (n_j/(z - z_j)) - ∑ (m_k/(z - w_k))

Now, we consider the integral of (f'(z)/f(z)) dz along the closed curve C. By the Residue Theorem, this integral can be evaluated as the sum of the residues of the function (f'(z)/f(z)) at its isolated singularities within the region enclosed by C.

The residues at the zeros z_j of f(z) are given by n_j, and the residues at the poles w_k of f(z) are given by -m_k. Therefore, the integral becomes:

∮C (f'(z)/f(z)) dz = ∑ (n_j) - ∑ (m_k) = N - P

where N is the sum of the winding numbers of C around the zeros of f(z), and P is the sum of the winding numbers of C around the poles of f(z).

Finally, using the fact that the integral of (f'(z)/f(z)) dz is equal to 2πi times the sum of the residues, we arrive at:

∮C (f'(z)/f(z)) dz = 2πi (N - P)

which proves the Argument Principle for meromorphic functions.

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Answer:

look below I got it right

Step-by-step explanation:

look carefully, for some people it’s a, for some it’s different so just look and compare to the answers

The sample size required to estimate the true proportion of jets with the wiring problem with 90% confidence and an error of +4% is approximately 92 (rounded up to the nearest whole number).

To determine the sample size needed to estimate the true proportion of jets with the wiring problem, we can use the formula for sample size calculation for proportions:

n = ([tex]Z^2 * p * q[/tex]) / [tex]E^2[/tex]

Where:

n = sample size

Z = Z-score corresponding to the desired confidence level (90% confidence corresponds to a Z-score of 1.645)

p = estimated proportion (16/24 = 0.6667)

q = 1 - p

E = maximum error tolerance (4% = 0.04)

Let's calculate the sample size:

p = 0.6667

q = 1 - p = 0.3333

E = 0.04

Z = 1.645

n = ([tex]1.645^2[/tex] * 0.6667 * 0.3333) / [tex]0.04^2[/tex]

n ≈ 91.62

Regarding the decision to conduct further sampling or inspect all the planes, it depends on the context and resources available. If inspecting all the planes is feasible and does not require excessive time or cost, it might be preferred to ensure the safety of all aircraft.

However, if conducting further sampling is a practical and reliable way to estimate the proportion while saving time and resources, the airline might choose to conduct additional sampling.

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Answer:

I think the answer is A 64cm cubed

The 90% confidence interval for the  population proportion of flips that will be heads is given as follows:

(0.746, 0.814).

The interpretation is that we are 90% sure that the true proportion of all tosses with this coin is between these two bounds.

A confidence interval of proportions has the bounds given by the rule presented as follows:

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which the variables used to calculated these bounds are listed as follows:

The confidence level is of 90%, hence the critical value z is the value of Z that has a p-value of [tex]\frac{1+0.9}{2} = 0.95[/tex], so the critical value is z = 1.645.

The parameters for this problem are given as follows:

[tex]n = 400, \pi = \frac{312}{400} = 0.78[/tex]

The lower bound of the interval is given as follows:

[tex]0.78 - 1.645\sqrt{\frac{0.78(0.22)}{400}} = 0.746[/tex]

The upper bound is given as follows:

[tex]0.78 + 1.645\sqrt{\frac{0.78(0.22)}{400}} = 0.814[/tex]

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Darren had a better score than Jennifer based on their respective test scores.

To compare their scores, we need to consider their individual test scores in relation to the mean and standard deviation of each test.

For Darren's score of 57 on the Miller Analogies Test, we can calculate the z-score using the formula:

z = (x - μ) / σ

where x is the individual score, μ is the mean, and σ is the standard deviation. Plugging in the values, we have:

z = (57 - 50) / 5 = 1.4

For Jennifer's score of 120 on the WISC Intelligence Test, we can calculate the z-score using the same formula:

z = (120 - 100) / 15 = 1.33

Comparing the z-scores, we can see that Darren's z-score of 1.4 is higher than Jennifer's z-score of 1.33. A higher z-score indicates a score that is further above the mean relative to the standard deviation. Therefore, Darren's score of 57 on the Miller Analogies Test is relatively better than Jennifer's score of 120 on the WISC Intelligence Test in terms of their respective distributions.

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Using mathematical operators, the value of x in the equation is -3

An equation is a mathematical statement that shows that two expressions are equal. There are different types of equations based on the degree. Linear equation, quadratic equation, and cubic equation are some of the common types of equations.

Linear equations have one degree, quadratic equations have two degrees, and cubic equations have three degrees. The degree of an equation is the highest power of the variable in the equation.

In the given problem, we can find the value of x by using mathematical operators.

6(4x + 1) - 3(2x - 3) = 3(4x - 5) - 6(x + 1)

Open the brackets;

24x + 6 - 6x + 9 = 12x - 15 - 6x - 6

Collect like terms

24x - 6x + 9 + 6 = 12x - 6x - 6 - 15

18x + 15 = 6x - 21

18x - 6x = -21 - 15

12x = -36

Divide both sides by the coefficient of x;

12x/12 = -36/12

x = -3

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The probability that a poker hand from a well-shuffled deck is a flush is 0.00198.

The probability that Anne is bluffing, given that at least one player is bluffing is 1.95.

a) Probability that a poker hand from a well-shuffled deck is a flush:

Consider the following points for a poker hand from a well-shuffled deck is a flush:

There are 4 suits in a deck of cards.

There are 13 denominations in each suit.

When choosing a flush hand, any of the suits can be selected.

Therefore, the probability of choosing a suit is: P(Suit) = 4/4 = 1.

Therefore, the probability of selecting a suit is 1.The first card may be of any denomination. Therefore, the probability of selecting any denomination is 1.

Since all 5 cards must have the same suit, the second card must be of the same suit as the first card. Therefore, the probability of selecting the second card of the same suit is:

P(Same Suit) = 12/51

The third card must also be of the same suit as the first card and second card. Therefore, the probability of selecting the third card of the same suit is:

P(Same Suit) = 11/50

The fourth card must also be of the same suit as the first card, second card, and third card. Therefore, the probability of selecting the fourth card of the same suit is:

P(Same Suit) = 10/49

The fifth card must also be of the same suit as the first card, second card, third card, and fourth card. Therefore, the probability of selecting the fifth card of the same suit is:

P(Same Suit) = 9/48

Multiplying all probabilities together, we have:

P(Suit) × P(Same Suit) × P(Same Suit) × P(Same Suit) × P(Same Suit)= 1 × 12/51 × 11/50 × 10/49 × 9/48= 0.00198

Therefore, the probability that a poker hand from a well-shuffled deck is a flush is 0.00198.

Ans: 0.00198.

b) Probability that Anne is bluffing, given that at least one player is bluffing:

Consider the following points for the probability that Anne is bluffing, given that at least one player is bluffing:

Anne has a 20% chance of bluffing.

Barney has a 30% chance of bluffing.

The two players bluff independently.

P(Anne is bluffing) = 20/100 = 1/5P(Barney is bluffing) = 30/100 = 3/10

Let A be the event that Anne is bluffing and B be the event that Barney is bluffing.

Let C be the event that at least one player is bluffing.

P(C) = 1 - P(none is bluffing) = 1 - (1 - P(Anne is bluffing)) × (1 - P(Barney is bluffing))= 1 - (1 - 1/5) × (1 - 3/10)= 1 - (4/5) × (7/10)= 1 - 28/50= 22/50= 11/25

Now, P(A ∩ C) = P(A) × P(C|A)

Where P(C|A) is the probability that at least one player is bluffing given that Anne is bluffing.= (3/10 + 7/10 × 4/5) / (1 - 4/5)= (3/10 + 28/50) / (1/5)= (15/50 + 28/50) / (1/5)= 43/50 × 5= 215/50

Therefore, P(A|C) = P(A ∩ C) / P(C)= 215/50 × 25/11= 1.95

Therefore, the probability that Anne is bluffing, given that at least one player is bluffing is 1.95. Ans: 1.95.

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Answer:

3-6

Step-by-step explanation:

The expression 3⁻⁶ × (3⁴ ÷ 3⁰)² value is 9 which is 3².

To simplify the given expression: 3⁻⁶ × (3⁴ ÷ 3⁰)², let's break it down step by step:

First, let's simplify the exponent expressions within the parentheses:

3⁴ = 81 (because 3⁴ = 3 × 3 × 3 × 3 = 81)

3⁰ = 1 (because any number raised to the power of 0 is 1)

Now, we can rewrite the expression with the simplified exponents:

3⁻⁶ × (81 ÷ 1)²

Next, simplify the division within the parentheses:

81 ÷ 1 = 81

Now, the expression becomes:

3⁻⁶ × 81²

Simplify the exponent:

81² = 6561 (because 81 × 81 = 6561)

Now, the expression becomes:

3⁻⁶ × 6561

1/729 × 6561

6561/729

dividing both the numerator and the denominator by their greatest common divisor (GCD), which is 9:

729/81

We get 9 which is equal to 3².

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