4. You decide to purchase a home for $225,000. The bank requires a 10% down payment.


You take out a 30-year, fixed rate mortgage at 4. 5%.


a. How much is the down payment?


b. How much is the mortgage (In other words, how much money are you


borrowing?)


c. What is your monthly mortgage payment?

Answer:

the last one. hope I help u

Answer:

S<30

need explain that?

Answer:

8.66  =  9

Step-by-step explanation:

The square root of 75 is approximately equal to 8.66 but if rounded 9

The correct interpretation of the given 90% confidence interval for the average age at which children say their first word is option A.

A confidence interval provides a range of values within which the true population parameter is likely to fall. In this case, the confidence interval (10.1 months, 13.4 months) suggests that, based on the sample data, we can be 90% confident that the true mean age at which children say their first word lies between 10.1 and 13.4 months.

Option A correctly interprets the confidence interval by stating that the mean age at which children say their first word is estimated to be within the interval of 10.1 to 13.4 months, based on the given sample.

Options B, C, and D are incorrect interpretations. Option B incorrectly assumes that 90% of the children in the sample fell within the given interval, which is not necessarily true.

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Step-by-step explanation:

A square prism is a cube. The equation that represents the volume of a cube is:

length*width*height

or, in your case, b*b*h

If you are talking about a square-based pyramid, then you use 1/3 * length * width * height or 1/3 * b * b * h. You can use the exponents where needed.

I think it's eight bead's??...........

The values for c and d are c=4 and d=2, and the answer is B.

What is slope?

In mathematics, slope refers to the steepness or incline of a line on a graph. It is a measure of how much the dependent variable changes for every unit change in the independent variable.

A line with slope 2 passes through the points P(-3,-2), A(0,c), and B(d,8).

What are the values for c and d?

A. c=3 and d=9

B. c=4 and d=2

C. c=4 and d=4

D. c=7 and d=5

To solve for c and d, we can use the fact that the line passes through two points: P and A. The slope of the line is given as 2, so we can write the equation of the line using point-slope form:

y - y1 = m(x - x1)

where m is the slope and (x1, y1) is a point on the line. Using point P(-3,-2) and slope m=2, we get:

y - (-2) = 2(x - (-3))

y + 2 = 2(x + 3)

y + 2 = 2x + 6

y = 2x + 4

Now we can use the fact that the line passes through point A(0,c) to solve for c:

c = 2(0) + 4

c = 4

To solve for d, we can use the fact that the line also passes through point B(d,8). We know that the y-coordinate of point B is 8, so we can substitute this into the equation of the line:

8 = 2d + 4

4 = 2d

d = 2

Therefore, the values for c and d are c=4 and d=2, and the answer is B.

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Answer:

6. r=2

8.x=3

Step-by-step explanation:

6. 4r-3=5

4r-3=5 add 3 to both sides

4r=8 divide 4 by both sides

r=2

8. 5x-6=9

5x-6=9 add 6 to both sides

5x=15 divide 5 by both sides

x=3

The expression (g + h)(x) simplifies to\(x^2 + 7x + 1.\)

option(C)

To find (g + h)(x), we need to add the two given functions, g(x) and h(x).

Given:

\(g(x) = x^2 + 4x + 5\)

\(h(x) = 3x - 4\)

To find (g + h)(x), we add the corresponding terms of g(x) and h(x). Adding like terms, we get:

\((g + h)(x) = (x^2 + 4x + 5) + (3x - 4)\)

Now, let's simplify this expression by combining the like terms:

\((g + h)(x) = x^2 + 4x + 3x + 5 - 4\)

Combining the like terms, we have:

\((g + h)(x) = x^2 + 7x + 1\)

It's important to note that when adding functions, we simply add the corresponding terms. In this case, we added the quadratic terms \((x^2),\) the linear terms (4x and 3x), and the constant terms (5 and -4). By combining these terms, we obtained the simplified expression for (g + h)(x). option(C)

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Answer:

Step-by-step explanation:

Equivalent fractions are two or more fractions that are all equal. A fraction is a part of a whole: the denominator (bottom number) represents how many equal parts the whole is split into; the numerator (top number) represents the amount of those parts.

Answer:

An equivalent fraction is a fraction that is the same as another fraction with a different denominator.

For example 1/2 and 3/6 are equivlant fractions.

Answer:

9xy|xy|

Step-by-step explanation:

25xy*V81x^2y^2/V625=25xy*9|xy|/25=9xy|xy|

By special right triangles, all missing side lengths are listed below:

Case 16

a = b = 12, c = 4√3, d = 24

Case 17a

a = d = 36, b = 36√2, c = 27, d = 36

In this question we find the two geometric systems formed by special right triangles, there are two kinds of right triangles (30° - 60° - 90°, 45° - 45° - 90°). We need to determine all missing side lengths. The following relationships are used:

30° - 60° - 90°:

45° - 45° - 90°:

Now we proceed to determine all missing lengths for each case:

Case 16

a = b = 12

c = 12 / √3 = 4√3

d = 24

Case 17a

a = 18√3 / (√3 / 2) = 36

b = 36√2

c = 18√3 · (√3 / 2)

c = 27

d = 36

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Answer:

21

Step-by-step explanation:

35^2-28^2=441

square root of 441 is 21

Answer:

21cm

Step-by-step explanation:

21 = √(35^2 - 28^2)

Answer:

30

Step-by-step explanation:

If you plug in 5 for x and 3 for y then the equation would be 3(5)+5(3) or 15+15.

Answer:

The graph in the middle with points all around the place would be the answer.

Step-by-step explanation:

The result of the survey showed no correlation, so there would be no pattern or trend line in the graph. So it cannot be the 1st graph or the 3rd.

The Fees Receivable average account is used to record amounts due from Wilson Company for services provided by Tsang Company.

The Fees Receivable account is used to track amounts due from Wilson Company to Tsang Company for services that have been provided but not yet invoiced. The account is created when Tsang Company begins a contract to provide services to Wilson Company for six months at a total cost of $21,600. This amount is paid at the end of the six-month period, with equal services being provided each month. The Fees Receivable account is used to record the amount due each month, with the total balance of the account being equal to the total cost of the services provided. It is important to keep track of amounts due from customers so that the business can accurately track its accounts receivable and ensure that it is receiving payment for the services it has provided.

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Answer:

The velocity is being plotted. The velocity value indicates how fast the object is moving.

Step-by-step

C on the first one and C on the second one lol

Give brainlest PLZZZ

Answer:

its b to 9 seconds 40 meters per second

Step-by-step explanation:

the test was right

The first derivative of at x with respect to x is simply the transpose of the matrix a.The first derivative of xt ax with respect to x is 2ax, since taking the derivative of the product of two vectors involves multiplying one of the vectors by the derivative of the other vector, and in this case the derivative of x is the identity matrix (since x is a vector and not a matrix).The second derivative of xt ax with respect to x is simply the matrix 2a, since the second derivative involves taking the derivative of the first derivative.1. Given the vector x and the symmetric matrix A.
2. We need to find the first and second derivatives of the following expressions:
  i. A * x
  ii. x^T * A * x

The question involves vectors, symmetric matrices, and derivatives. Let's break it down step-by-step.

i. First derivative of A * x with respect to x:
To find the derivative of A * x with respect to x, we treat A as a constant matrix. The first derivative is simply the matrix A itself.

Answer: The first derivative of A * x with respect to x is A.

ii. First derivative of x^T * A * x with respect to x:
To find the first derivative of this expression, we'll use the following formula for the derivative of a quadratic form:

d/dx (x^T * A * x) = (A + A^T) * x

Since A is a symmetric matrix, A = A^T. Therefore, the formula becomes:

d/dx (x^T * A * x) = 2 * A * x

Answer: The first derivative of x^T * A * x with respect to x is 2 * A * x.

iii. Second derivative of x^T * A * x with respect to x:
The second derivative of x^T * A * x with respect to x is the derivative of the first derivative (2 * A * x) with respect to x. Since A is a constant matrix, the second derivative is zero.

Answer: The second derivative of x^T * A * x with respect to x is 0.

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The area of a semicircle with respect to radius is √2A/π sq. units.

A semicircle is half of a circle. It is a 2D shape formed when a circle is cut into two equal parts. We can create two semi-circles from any circle.

The area of a semicircle = π × radius² / 2

So, the area with respect to radius will be =

A =  π × radius² / 2

2A = π × radius²

2A / π = radius²

Radius = √2A/π

Hence, the area of a semicircle with respect to radius is √2A/π sq. units.

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Data set (ii) because it has two entries that are far from the mean. the deviations from the mean are smaller,

The sample standard deviation measures the dispersion or spread of data points in a data set. To determine which data set has the greatest sample standard deviation, we need to consider the distribution of values relative to the mean.

In data set (ii), which has two entries that are far from the mean, the presence of these outliers can significantly increase the sample standard deviation. Outliers are data points that deviate significantly from the majority of the data, and their inclusion in a data set can inflate the standard deviation.

This is because the standard deviation calculates the average distance between each data point and the mean, and outliers contribute to larger distances.

Data set (i), on the other hand, having more entries that are close to the mean, suggests a more concentrated or clustered distribution of values.

When data points are closer to the mean, the deviations from the mean are smaller, resulting in a smaller standard deviation compared to a data set with outliers.

Data set (iii), with more entries that are farther away from the mean, may also have a higher sample standard deviation. However, without specific information about the magnitude of these deviations and the overall distribution of values,

we cannot definitively conclude that data set (iii) has the greatest standard deviation. Therefore, based on the information provided, the data set (ii) with two entries that are far from the mean is likely to have the greatest sample standard deviation.

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There are 9 positive integers with 1 digit (1 - 9).

There are 90 integers with 2 digits (10 - 99).

There are 900 integers with 3 digits (100 - 999).

There are 9000 integers with 4 digits (1000 - 9999).

And so on. It stands to reason that there are \(9\times10^{n-1}\) integers with \(n\) digits.

Now,

1000 = 9 + 900 + 91

so the 1000th positive integer with an odd number of digits is the 91th number with 3 digits, which is 190.

Answer:921600cm

Step-by-step explanation:

Answer:h=V/AB=2880/320=9cm

Step-by-step explanation:

Answer:

C. $20.00

Step-by-step explanation:

First, you need to calculate the unit price (per pound). $6.00/3lbs = $2.00/lb. Now, you multiply the unit price by the new amount.  $2.00x10lbs = $20.00

Answer:

it is c  i think

Step-by-step explanation:

Answer:

The answer is C

Step-by-step explanation:

All I did was try to match C with F. Count how many lines you went to the right and thats your x value. Same for Y but down. Down forgot to add integers.

Here's the MATLAB code for each problem:

(e) Code for cos²(ωt) = (1/2) + (1/2)cos(2ωt):

matlab

Copy code

t = linspace(0, 2*pi, 1000);  % Time vector

omega = 1;  % Choose the value of omega

y = (1/2) + (1/2)*cos(2*omega*t);

(f) Code for sin²(ωt) = (1/2) - (1/2)cos(2ωt):

matlab

Copy code

t = linspace(0, 2*pi, 1000);  % Time vector

omega = 1;  % Choose the value of omega

y = (1/2) - (1/2)*cos(2*omega*t);

(g) Code for sin(nωt) * sin(mωt) = (1/2)*cos((n-m)ωt) - (1/2)*cos((n+m)ωt):

matlab

Copy code

t = linspace(0, 2*pi, 1000);  % Time vector

omega = 1;  % Choose the value of omega

n = 2;  % Choose the value of n

m = 1;  % Choose the value of m

y = (1/2)*cos((n-m)*omega*t) - (1/2)*cos((n+m)*omega*t);

(h) Code for sin²(ωt) + cos²(ωt) = 1:

matlab

Copy code

t = linspace(0, 4*pi, 1000);  % Time vector

omega = 2:6;  % Choose the values of omega

y = sin(omega.*t).^2 + cos(omega.*t).^2;

Note: In all the codes, the variable t represents the time vector and y represents the corresponding function values. Adjust the parameters (such as the time range, number of points, and the values of omega, n, and m) according to your requirements.

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Here is the MATLAB code for the given problems:(e) cos² (ω.*t) = (¹/2) + (¹/2)*cos(2*ω.*t):t = lin space(0, 10, 1000);omega = 1.5;figure plot(t, cos(omega .* t).^2)hold on plot(t, 0.5 + 0.5*cos(2*omega .* t))

title("Plot of cos^2(wt)")x label("t")y label("y")legend("cos^2(wt)", "0.5 + 0.5*cos(2wt)")hold off(f) sin² (ω.*t) = (¹/2) - (¹/2)*cos(2*ω.*t):t = linspace(0, 10, 1000);omega = 1.5;figure plot(t, sin(omega .* t).^2)hold on plot(t, 0.5 - 0.5*cos(2*omega .* t))title("Plot of sin^2(wt)")x label("t")y Label("y")legend("sin^2(wt)", "0.5 - 0.5*cos(2wt)")hold off(g) sin(n*ω.*t) * sin(m*ω.*t) = (1/2)*cos[(n-m)*ω.*t)] - (1/2)*cos[(n+m)*ω.*t)]:t = linspace(0, 10, 1000);omega = 1.5; n = 3; m = 2;figure plot(t, sin(n*omega.*t).*sin(m*omega.*t))hold on plot(t, 0.5*cos((n-m)*omega.*t) - 0.5*cos((n+m)*omega.*t))title("Plot of sin(wt)*sin(wt)")xlabel("t")ylabel("y")legend("sin(wt)*sin(wt)", "0.5*cos((n-m)wt) - 0.5*cos((n+m)wt)")hold off(h) sin² (ω.*t) + cos² (ω.*t) = 1:for omega = 2:6t = linspace(0, 10, 1000);

Figure plot(t, sin(omega.*t).^2 + cos(omega.*t).^2)title("Plot of sin^2(wt) + cos^2(wt)")x label("t")y label("y")end.

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Answer:

cashier

Step-by-step explanation:

the discount is $7.50

In a fictional alphabet with 20 letters, there are 8,000 different 3-letter words possible.

To solve this problem, we can use the formula for permutations, which is n!/(n-r)!, where n is the number of letters in the alphabet and r is the number of letters in the word.

In this case, n = 20 and r = 3, so the formula would be 20!/(20-3)!. Simplifying the equation, we get:

P = 20!/(17!)

P = (20*19*18)/(1*1*1)

P = 8,000

Therefore, there are 8,000 different 3-letter words possible in a fictional alphabet with 20 letters.

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The probability that you guess the combination correctly 0.00001.

We know that the probability of an event is (possible outcome/total outcome)

I will assume that repeats are allowed as in most combination locks so the number of possible codes

= 10⁵ = 100000

We also know that there is only one correct combination so the probability that you guess the combination correctly

= 1/10⁵ = 1/100000 = 0.00001

Orchestrating individuals, digits, numbers, letters in order, letters, and tones are instances of changes. Choice of menu, food, garments, subjects, and group are instances of combination.

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The approximate probability that the total score is at least 375 when a fair six-sided die is rolled 100 times is (d) 0.4420.

When a fair six-sided die is rolled, the random variable X represents the outcome. The mean (μX) of X is 3.5, and the standard deviation (σX) is 1.71.

To find the probability that the total score is at least 375 when the die is rolled 100 times, we can use the Central Limit Theorem. According to the theorem, the sum of a large number of independent and identically distributed random variables approximates a normal distribution.

In this case, the sum of the outcomes of 100 rolls of the die follows a normal distribution with a mean of μX multiplied by the number of rolls (100) and a standard deviation of σX multiplied by the square root of the number of rolls (10). Therefore, the approximate probability can be calculated by finding the probability that the sum is greater than or equal to 375.

Using a normal distribution table or a calculator, we can find that the approximate probability is 0.4420, which corresponds to answer (d). This means that there is a 44.20% chance that the total score will be at least 375 when the die is rolled 100 times.

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