If the rise of BC is 8 and the run of DC is 2, the slope of BC is

a) The monthly payment for this fully amortising mortgage is approximately $10,331.25.
b) The monthly payment for this interest-only mortgage is approximately $14,360.33.

c) The new monthly payment after the interest rate increase is approximately $9,090.70.

d) The remaining loan balance is approximately $625,014.72.

A) To calculate the monthly payment of a fully amortising mortgage, we can use the formula:

M = P * (r * (1+r)^n) / ((1+r)^n - 1)

Where:
M = Monthly payment
P = Loan amount
r = Monthly interest rate
n = Total number of payments

For the given question, the loan amount is 81% of $1,175,378, which is $952,622.38. The annual interest rate is 11.6%, so the monthly interest rate would be 11.6% / 12 = 0.9667%. The mortgage term is 21 years, which means a total of 21 * 12 = 252 payments.

Plugging these values into the formula, we can calculate the monthly payment:

M = 952,622.38 * (0.009667 * (1+0.009667)^252) / ((1+0.009667)^252 - 1)

The monthly payment for this fully amortising mortgage is approximately $10,331.25.

B) To calculate the monthly payment of an interest-only mortgage, we can use the formula:

M = P * r

Where:
M = Monthly payment
P = Loan amount
r = Monthly interest rate

For the given question, the loan amount is 80% of $1,495,863, which is $1,196,690.40. The annual interest rate is 14.4%, so the monthly interest rate would be 14.4% / 12 = 1.2%.

Plugging these values into the formula, we can calculate the monthly payment:

M = 1,196,690.40 * 0.012

The monthly payment for this interest-only mortgage is approximately $14,360.33.

C) To calculate the new monthly payment after an interest rate increase, we can use the same formula as in part A:

M = P * (r * (1+r)^n) / ((1+r)^n - 1)

For the given question, the remaining loan balance is $700,134. The current interest rate is 14.5% per annum, and the loan term is 12 years.

To calculate the new interest rate, we need to add 1% to the current interest rate, which gives us 15.5% per annum, or 15.5% / 12 = 1.2917% as the monthly interest rate.

Plugging these values into the formula, we can calculate the new monthly payment:

M = 700,134 * (0.012917 * (1+0.012917)^144) / ((1+0.012917)^144 - 1)

The new monthly payment after the interest rate increase is approximately $9,090.70.

D) To calculate the remaining loan balance, we can use the formula:

B = P * ((1+r)^n - (1+r)^p) / ((1+r)^n - 1)

Where:
B = Remaining loan balance
P = Loan amount
r = Monthly interest rate
n = Total number of payments
p = Number of payments made

For the given question, the monthly payment is $8,364. The annual interest rate is 12.4%, so the monthly interest rate would be 12.4% / 12 = 1.0333%. The remaining loan term is 10 years, which means a total of 10 * 12 = 120 payments have been made.

Plugging these values into the formula, we can calculate the remaining loan balance:

B = P * ((1+0.010333)^120 - (1+0.010333)^360) / ((1+0.010333)^360 - 1)

The remaining loan balance is approximately $625,014.72.

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Hi there! There are no numbers listed, therefore I'm unable to do answer your question. Are there numbers included in the problem?

Given:

The rate of change in volume = 12 cubic feet per minute.

We need to find the rate of change of radius at radius = 6 feet.

Consider the formula to find the volume of the sphere.

Differentiate with respect to t.

Dividing both sides by 144pi, we get

Hence the radius of the balloon increases by 0.03 feet per minute.

Values provided below

\(\\ \tt\longmapsto sin180=0\)

\(\\ \tt\longmapsto cos270=cos90=0\)

\(\\ \tt\longmapsto csc360=1/0=\infty\)

\(\\ \tt\longmapsto tan90=\infty\)

\(\\ \tt\longmapsto cot90=0\)

\(\\ \tt\longmapsto sec270=\infty\)

Note the rule

Answer:

csc 360°

tan 90°

cot 90°

sec 270°

Step-by-step explanation:

Hope this helps

Answer:

x = -27

Step-by-step explanation:

\(\frac{1}{3} x+7=-2\\\\\frac{1}{3} x=-2-7\\\\\frac{1}{3} x=-9\\\\x=-27\)

Using the line of best fit, it is found that the estimated distance for a trip that takes 20 minutes is of 9.757 miles.

It gives the estimated distance in miles of a trip that takes x minutes, according to the following function?

y = 0.467x + 0.417.

In this problem, the trip took x = 20 minutes, hence the distance is given by:

y = 0.467 x 20 + 0.417 = 9.757 miles.

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The correct answer is k+3 ke-2.

To determine which formula is not equivalent to the other two, we can compare each formula step-by-step. Let's analyze each formula:

1. (-1k-3 k +3 k+ 4 ks4
2. k+3 ke-2
3. k-3 ks4

Starting with formula 1, we can see that it consists of three terms: -1k-3, k+3, and k+4ks4. Each term is separated by a space.

Moving on to formula 2, we have k+3ke-2. This formula also consists of three terms: k+3, k, and e-2. In this case, we have a variable (k) combined with two different exponents (3 and -2).

Finally, formula 3 is k-3ks4. It consists of two terms: k-3 and ks4. Again, each term is separated by a space.

Comparing the three formulas, we can see that formula 1 has three terms, while formulas 2 and 3 have two terms each. Additionally, formula 1 includes the term k+4ks4, which is not present in formulas 2 and 3.

Therefore, the formula that is not equivalent to the other two is k+3 ke-2.

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Answer:

18

Step-by-step explanation:

Entire length =105 + 82 =187

subtract 22

subtract 96

subtract 51              result =18

Answer:

72=|9y|

Step-by-step explanation:

divide both sides by 9

72/9=|9y|/9

8=y

y=8

Answer:

42.50

Step-by-step explanation:

bill + tip = total bill

The tip is based on the bill

tip = bill * 20%

tip = bill * .20

Replace in the original equation

bill + .20 bill = total bill

Combine like terms

1.20 bill = total bill

The total bill was 51 dollars

1.20 bill = 51

Divide each side by 1.20

1.20 bill / 1.2 = 51/ 1.2

bill =42.50

Answer:

$42.50

Step-by-step explanation:

If the total was $51 with the tip, and you know the tip was 20%, you can set up an equation and solve:

0.2x+x=51

1.2x=51

x=42.5

Therefore, the bill (w/o tip) was $42.50

p.s.Please give me brainliest. Thank you! :)

Answer:

A perfect square means that all side are EXACTLY equal. I hope this helps!

Step-by-step explanation:

In number theory, a perfect number is a positive integer that is equal to the sum of its positive divisors, excluding the number itself. For instance, 6 has divisors 1, 2 and 3, and 1 + 2 + 3 = 6, so 6 is a perfect number

Answer:

\(\displaystyle 2 = x\)

Step-by-step explanation:

Set both expressions equivalent to each other sinse each hypotenuse is congruent:

\(\displaystyle 17x - 3 = 9x + 13 \hookrightarrow \frac{-16}{-8} = \frac{-8x}{-8} \\ \\ \boxed{-2 = x}\)

I am joyous to assist you at any time.

The quadratic formula multiplied by π divided by x is: π(-b ± √(b² - 4ac)) / (2ax).

The quadratic formula is used to solve quadratic equations, and is given by: x = (-b ± √(b² - 4ac)) / 2a.

Pi otherwise denoted by the symbol π in real terms is a mathematical constant that represents the ratio of the circumference of a circle to its diameter. It is approximately equal to 3.14159, although its decimal representation goes on infinitely without repeating.

Since the rational objective of every mathematical expression or problem is to simplify, we  will leave Pi in it's symbolic form - π.

Thus, multiplying quadratic formula by π and dividing by x, we get:

π(-b ± √(b² - 4ac)) / (2ax)

Therefore, the quadratic formula multiplied by π divided by x is:

π(-b ± √(b² - 4ac)) / (2ax).


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Answer:  π(-b ± √(b² - 4ac)) / (2ax)

Step-by-step explanation:

take the standard quadratic formula and plug in pi and x and you get you answer hope this helps

A function is said to be even if it satisfies the condition f(x) = f(-x) for all values of x in its domain. In other words, if you reflect the graph of an even function across the y-axis, you will get the same graph.

For example, the function f(x) = x^2 is an even function since f(x) = f(-x) for all values of x:

f(x) = x^2 f(-x) = (-x)^2 = x^2

On the other hand, a function is said to be odd if it satisfies the condition f(x) = -f(-x) for all values of x in its domain. In other words, if you reflect the graph of an odd function across the origin, you will get the same graph.

For example, the function f(x) = x^3 is an odd function since f(x) = -f(-x) for all values of x:

f(x) = x^3 f(-x) = (-x)^3 = -x^3 -f(-x) = -(-x)^3 = x^3

To determine whether a function is even or odd, you can check whether the function satisfies the conditions mentioned above. If f(x) = f(-x), the function is even, and if f(x) = -f(-x), the function is odd. If neither condition is satisfied, the function is neither even nor odd.

Answer:

Answer:

first things first nice picture, second i don't know what a yubu is, and third what is " re again xx"?

Step-by-step explanation:

The average (mean) of the data is approximately 16.89 to two decimal places.

To calculate the average (mean) of the given data, you need to sum all the values and divide by the total number of values.

Sum of the data: 25.3 + 27.9 + 16.1 + 6 + 6.8 + 7.7 + 28.4 = 118.2

Total number of values: 7

Average (mean) = Sum of the data / Total number of values

Average = 118.2 / 7

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The answer is C.

The question is asking you to find an option that "supports" or "refutes" her claim. In option C, you have to hold the fabrics above a candle to see how long it will take to burn. This way of proving her hypothesis can either go good or bad (support that Fabric A resists better or refute her claim and Fabric B resists fire better).

Best of Luck!

Answer:

A scientist claims that Fabric A is better able to resist fire than Fabric B.

option describes an experiment that will produce evidence that will support or refute her claim is:

C. Hold each type of fabric over a candle flame and time w long it.

The equation of the plane through the points p(0, 1, 1), q(1, 0, 1), and

r(1, 1, 0) is x + y + z = 2  .

According to the question

Let the points

p(0, 1, 1) = (x1,y1,z1)

q(1, 0, 1)= (x2,y2,z2)

r(1, 1, 0)= (x3,y3,z3)

now,

The equation of the plane through the points

i.e

The formula of equation of a plane passing through three non collinear points

\(\left[\begin{array}{ccc}x-x1&y-y1&z-z1\\x2-x1&y2-y1&z2-z1\\x3-x1&y3-y1&z3-z1\end{array}\right] = 0\)

by substituting the values in the formula of equation of a plane

\(\left[\begin{array}{ccc}x-0&y-1&z-1\\1-0&0-1&1-1\\1-0&1-1&0-1\end{array}\right] = 0\)

\(\left[\begin{array}{ccc}x&y-1&z-1\\1&-1&0\\1&0&-1\end{array}\right] = 0\)  

x(1) - (y-1)(-1) + (z-1)(1) = 0

x + y - 1 + z - 1 = 0

x + y + z = 2

Hence, the equation of the plane through the points p(0, 1, 1), q(1, 0, 1), and r(1, 1, 0) is x + y + z = 2  .

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Yes, two samples can have the same range but different means. The range of a dataset is a measure of the spread or dispersion and is determined by the difference between the maximum and minimum values. The mean, on the other hand, represents the average value of the dataset.

To illustrate this concept, let's consider two different samples:

Sample 1: 1, 5, 6, 9, 10

Sample 2: 2, 4, 7, 8, 10

Both samples have a range of 9 (10 - 1).

However, the means of the samples are different. The mean of Sample 1 is

(1 + 5 + 6 + 9 + 10) / 5 = 6.2,

while the mean of Sample 2 is

(2 + 4 + 7 + 8 + 10) / 5 = 6.2.

Despite having the same range, the means differ between the two samples.

The range only considers the extreme values of the dataset, whereas the mean takes into account all values and provides an average measure. It is possible for the individual values within the samples to be distributed differently, resulting in different means, even if the range remains the same.

Therefore, the range and the mean are distinct measures that capture different aspects of the dataset. While it is possible for two samples to have the same range, they can still have different means based on the specific values and their distribution within each sample.

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The law which makes this argument true is referred to as the Law of Syllogism.

The Law of Syllogism is also referred to as reasoning by transitivity and it states that if two (2) statements are true, then a third true statement can be logically derived.

Mathematically, the Law of Syllogism follows a specific pattern and can be represented by the following conditional statements:

In this context, we can reasonably infer and logically deduce that the Law of Syllogism makes the conclusion based on the two premises.

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The probability that for a randomly chosen integer n between 1 and 10 inclusive there exist no real solutions to the equation x^2 + 5 = n is 3/10.

we can first find the values of n for which there are real solutions to the equation x^2 + 5 = n. We can do this by rearranging the equation to get x^2 = n - 5 and then seeing that there are real solutions only if n - 5 is non-negative, i.e. n >= 5.

Since we are choosing a random integer between 1 and 10 inclusive, there are 10 possible values for n. Out of these, only 5, 6, 7, 8, 9, and 10 are greater than or equal to 5, which means that there are real solutions to the equation for these values of n. Therefore, there are only 6 possible values of n for which there exist no real solutions to the equation.

Therefore, the probability of choosing one of these 6 values of n is 6/10, which simplifies to 3/5. However, we need to find the probability of choosing one of the values of n for which there exist no real solutions to the equation, which is the complement of the probability of choosing one of the values of n for which there are real solutions. This complement is 1 - 6/10, which simplifies to 2/5.

Therefore, the main answer to the question is that the probability that for a randomly chosen integer n between 1 and 10 inclusive there exist no real solutions to the equation x^2 + 5 = n is 2/5.

The probability that for a randomly chosen integer n between 1 and 10 inclusive there exist no real solutions to the equation x^2 + 5 = n is 2/5. This can be found by first determining the values of n for which there are real solutions to the equation, and then finding the complement of this probability.

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Answer: 165%

Step-by-step explanation:

1 = 100%

13/20 = 65%

1 13/20 = 165%

\(sin= \frac{opp}{hyp} \\\\sin (20) = \frac{10000}{hyp}\\\\hyp= \frac{10000}{sin(20)} \\\\hyp= 29238 ft\)

The aircraft is 29238 ft from the ship

//

Note: this is based on my assumption that we are looking for the hypotenuse.

If we are looking for the adjacent side, then the answer would be 27475 ft.

Answer:

\(2 {x}^{2} - x - 1 \\ 2 {x}^{2} - (2 - 1)x - 1 \\ 2 {x}^{2} + 2x - 1x - 1 \\ 2x(x + 1) - 1(x + 1) \\ (2x - 1)(x + 1)\)

Answer:

It is in step 2

Step-by-step explanation:

they don't multiply the 5 as well

Answer:

The sum of 2 numbers is 17. One is 3 less than 2/3 of the other number. What is the lesser number

Step-by-step explanation:

Answer:

green square

Step-by-step explanation:

have u ever heard of slope face

Answer:

3 < y ≥ -3

Step-by-step explanation:

R = 3 < y ≥ -3

The line can't go beyond 3 and also cant be less than -3.

Answer:

There are 4 queens in a pack of 52 cards, and there are also 13 diamonds and 26 black cards (13 clubs and 13 spades).

To find the probability of getting a queen or a diamond or a black card, we need to add the probabilities of each event happening and subtract the probability of getting a card that is both a queen and a diamond (the queen of diamonds).

Probability of getting a queen = 4/52 = 1/13

Probability of getting a diamond = 13/52 = 1/4

Probability of getting a black card = 26/52 = 1/2

Probability of getting the queen of diamonds = 1/52

So, the probability of getting a queen or a diamond or a black card is:

(1/13) + (1/4) + (1/2) - (1/52) = 51/52 or approximately 0.98

Therefore, the probability of getting a queen or a diamond or a black card is approximately 0.98.

Maddie has 78 pairs of Reebok sneakers.

Maddie has a total of 140 pairs of sneakers.

One fourth of his sneakers are Adidas. To find the number of Adidas sneakers, we calculate (1/4) * 140 = 35 pairs of Adidas sneakers.

In addition to the Adidas sneakers, Maddie has 57 pairs of Nike sneakers.

To determine the number of Reebok sneakers, we need to subtract the pairs of Adidas and Nike sneakers from the total number of sneakers.

Reebok sneakers = Total sneakers - Adidas sneakers - Nike sneakers

Reebok sneakers = 140 - 35 - 57 = 48 pairs of Reebok sneakers.

Therefore, Maddie has 48 pairs of Reebok sneakers, which makes up the remainder of his collection after accounting for the Adidas and Nike pairs.

In conclusion, out of Maddie's collection of 140 pairs of sneakers, 35 pairs are Adidas, 57 pairs are Nike, and the remaining 48 pairs are Reebok.

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Answer:

Step-by-step explanation:

q