Line a is parallel to line b. If the measure of <7 is 114 what is the measure of <1?

In summary, to meet the 25% rate of return requirement, you would need to sell the foreclosed home for $171,633.33, considering the acquisition costs, holding period costs, and expected sales costs. This selling price ensures a 25% rate of return on the investment in the foreclosed home.

To earn a 25% rate of return on the investment in a foreclosed home, you would need to sell the property for $171,633.33. This calculation takes into account the various costs associated with acquiring, holding, and selling the property. The acquisition costs amount to $18,500, the holding period costs add up to $73,000, and the expected sales costs are $7,500. These costs, along with the borrowed amount of $110,000, form the initial investment. To achieve a 25% rate of return, the selling price must cover the initial investment plus the desired return.

The initial investment consists of the borrowed amount of $110,000 plus the acquisition costs of $18,500, resulting in a total of $128,500. The holding period costs are $73,000, which is the sum of the monthly costs ($6,083.33) over the one-year period. Adding the expected sales costs of $7,500 to the initial investment and holding period costs gives a total of $209,000. To achieve a 25% rate of return on this investment, the selling price should be calculated as 1.25 times the initial investment. Thus, multiplying $209,000 by 1.25 yields $261,250. To determine the selling price, the amount borrowed ($110,000) needs to be subtracted from the calculated value, resulting in $171,633.33. This selling price ensures a 25% rate of return on the investment in the foreclosed home.

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Answer:

1.  Y = -1/4x + 1

3. Y = 2/5x + 1

5. Y = 4/5x + 5

7. Y = -x + 5

9. Y = -5/2x - 16

Step-by-step explanation:

Find the slope using the formula

Use the slope and one of the points to find the y-intercept

Once you know the value for m and the value for b, you can plug these into the slope-intercept form of a line (y = mx + b) to get the equation for the line.

Answer:

y = -3x + 7

Step-by-step explanation:

Using any 2 pairs of values, say (-3, 16) and (-1, 10), therefore, rate of change of the data given = \( \frac{y_2 - y_1}{x_2 - x_1} = \frac{10 - 16}{-1 -(-3} = \frac{-6}{2} = -3 \).

We would get the same rate of change if we use any other two pairs of values in the data given.

Therefore, the data can be modeled by a linear equation because the rate of change remains constant all through.

To represent y as a function of x, find b, since we know the rate of change (m).

Substitute x = -3, y = 16 and m = -3 in y = mx + b.

Thus:

16 = (-3)(-3) + b

16 = 9 + b

Subtract 9 from each side

16 - 9 = b

7 = b

b = 7

Substitute m = -3 and b = 7 in y = mx + b

The function would be:

✅ y = -3x + 7

In the following question, among the conditions given, {q1, q2} is a basis for the vector space of polynomials p(t) of degree at most two that satisfy the constraint p(2) = 0. In this particular case, we must enter our basis as [[1,0,-4],[0,1,-2]], since q1(t) = t^2 - 4 and q2(t) = t - 2.

To find a basis for the vector space of polynomials p(t) of degree at most two which satisfy the constraint p(2)=0, we can take the following steps:
1. Rewrite the polynomials as linear combinations of the form a + bt + ct^2
2. Use the constraint p(2) = 0 to eliminate one of the coefficients a, b, or c
3. Normalize the polynomials so that they are unit vectors
For example, if your basis is 1 + 2t + 3t^2, 4 + 5t + 6t2 then you can enter it as [[1,2,3],[4,5,6]].

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Answer:

Step-by-step explanation:

y - 2 = -2(x - 3)

y - 2 = -2x + 6

y = -2x + 8

Answer:

3

Step-by-step explanation:

Given

\(\sqrt[3]{\sqrt{729} }\)

Evaluate from the ' inside- out ' , that is

\(\sqrt{729}\) = 27 , then

\(\sqrt[3]{27}\)

= 3

Answer:

3

Step-by-step explanation:

\( \sqrt[3]{ \sqrt{729} } \)

\( = \sqrt[3]{ \sqrt{ {27}^{2} } } \)

\( = \sqrt[3]{27} \)

\( = \sqrt[3]{ {3}^{3} } \)

\( = 3\) ✅

Answer:

27 - 5n

Step-by-step explanation:

n times 5 (5n) - 27

Answer:

(1st answer) 268 divided by 19

Step-by-step explanation:

19x10= 190 iykyk

Step-by-step explanation:

1) 3x(6x+5)

= 18x+15x

= 33x Answer

2) 4x(2x-3y)

= 8x-12xy Answer

Cannot be solved because it has unlike terms

A good way to sample this population while maintaining the distribution of various sub-populations is by using stratified sampling. In stratified sampling, the population is divided into homogeneous subgroups or strata based on certain characteristics, and then a random sample is selected from each stratum.

To ensure that the distribution of various sub-populations is maintained, the sample should include a proportional representation of individuals from each subgroup. In this case, the subgroups are Asian, Hispanic, and Native American.

Here's how the distribution of the various sub-populations can be maintained in the final sample:

1. Determine the proportion of each subgroup in the population:

  - Asian: 500 / 2000 = 0.25 (25%)

  - Hispanic: 1000 / 2000 = 0.5 (50%)

  - Native American: 500 / 2000 = 0.25 (25%)

2. Calculate the number of samples to be chosen from each subgroup:

  - Asian: 0.25 * 200 = 50 samples

  - Hispanic: 0.5 * 200 = 100 samples

  - Native American: 0.25 * 200 = 50 samples

3. Randomly select the specified number of samples from each subgroup.

By using stratified sampling with the specified proportions, the final sample of 200 individuals will have a distribution that reflects the proportions of Asian, Hispanic, and Native American subpopulations in the overall population.

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Answer: 4, -7

Step-by-step explanation:

Plug the numbers into the variables and solve;

(6)(12) / 6+12

Multiply the values in the numerator and add the values in the denominator.

72/18

Then divide and the answer will be 4.

For the second one:

4+3 / 3-4

Add the values in the numerator and subtract the values in the denominator.

7/-1

Dividing this will make 7 a negative, so the answer is -7.

Hope that helped ^^;;

Answer:

(8,3)

Step-by-step explanation:

f(8) = 3

The input is 8 and the output is 3

(8,3)

Yes, the chain rule in calculus involves multiplying the derivative of the outside function by the derivative of the inside function.

The chain rule is a fundamental concept in calculus that allows us to find the derivative of a composite function. When a function is composed of two or more functions nested inside each other, the chain rule enables us to differentiate the composite function by taking into account the derivatives of the individual functions.

Mathematically, if we have a composite function f(g(x)), where g(x) represents the inside function and f(u) represents the outside function, the chain rule states that the derivative of the composite function is given by the product of the derivative of the outside function f'(u) and the derivative of the inside function g'(x). In other words, it is the prime of the outside function multiplied by the prime of the inside function.

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Answer:

The answer is below.

Step-by-step explanation:

The options are not clear. I would solve a similar question.

A linear function is a function in the form:

y = mx + b;  where y and x are variables, m is the slope and b is the y intercept.

From the options:

a) x(y - 5) = 2

xy - 5x = 2.   Since the equation is not in the form of y = mx + b, hence it is not a linear function. It is a nonlinear function.

b) y - 2(x + 9) = 0

y - 2x - 18 = 0

y = 2x + 18. The equation is in the form of y = mx + b, hence it is a linear function.

c) 3y + 6(2 - x) = 5

3y + 12 - 6x = 5

3y = 6x - 7. The equation is in the form of y = mx + b, hence it is a linear function.

d) 2(y + x) = 0

2y + 2x = 0

2y = -2x. The equation is in the form of y = mx + b, hence it is a linear function.

Answer:

To find out how much fence you need

A=L(W)

A=2(21)

A=42

Answer:

x= 129°

Step-by-step explanation:

Angle x is suplenment of 51° (their sum = 180°)

So x+51° = 180°

x = 180° - 51°

x= 129°

Answer:

Bank A

Step-by-step explanation:

We find the Simple Interest for each Bank

Bank A

A savings account at bank A earns 5%

simple interest.

Where

P = $5,000.00

R = 5%

T = 2 years

Compound quarterly = 4

First, convert R percent to r a decimal

r = R/100

r = 5%/100

r = 0.05 per year,

Then, solve our equation for A

A = P(1 + r/n)^nt

A = 5,000.00(1 + 0.0125/4)(4)(2)

A = $ 5,522.43

A = P + I where

P (principal) = $ 5,000.00

I (interest) = $ 522.43

For Bank B

P = $5,000.00

R = 4%

T = 2 years

Compound quarterly = 4

First, convert R percent to r a decimal

r = R/100

r = 4%/100

r = 0.04 per year,

Then, solve our equation for A

A = P(1 + r/n)nt

A = 5,000.00(1 + 0.01/4)(4)(2)

A = $ 5,414.28

A = $ 5,414.28

A = P + I where

P (principal) = $ 5,000.00

I (interest) = $ 414.28

Therefore, the bank that would give Gabriel more interest is Bank A

Answer: $23.92

Step-by-step explanation:

First, we know that 6 bagels is $2.99.

48/6=8

This means that 6 is a multiple of 48, which makes it easier to solve.

$2.99 x 8 = 23.92

= $23.92

Answer:

an apple would remain

Step-by-step explanation:

To prove that the product of two odd numbers is odd, we assume that both numbers are odd and use a proof by contradiction.

By assuming the product is even and showing that it leads to a contradiction, we establish that the product must be odd.

1. To prove that the product of two odd numbers is odd, let's assume that a and b are both odd integers. We want to show that the product ab is also odd.

2. We can start by assuming the opposite, that the product ab is even. By definition, an even number can be expressed as 2k, where k is an integer. So, we can write ab as 2k, where k is some integer.

3. Since a and b are odd, they can be expressed as a = 2m + 1 and b = 2n + 1, where m and n are integers. Substituting these expressions into ab, we get (2m + 1)(2n + 1) = 4mn + 2m + 2n + 1.

4. Rearranging the terms, we have 4mn + 2m + 2n + 1 = 2(2mn + m + n) + 1. Notice that the expression inside the parentheses is an integer, let's call it p = 2mn + m + n.

5. Therefore, we can rewrite ab as 2p + 1, which is in the form of an odd number (2p + 1), where p is an integer. This contradicts our initial assumption that ab is even.

6. Since assuming ab is even leads to a contradiction, our initial assumption must be false. Hence, the product of two odd numbers (a and b) is indeed odd.

Thus, we have proven that if a is odd and b is odd, then the product of a and b is odd.

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Answer: 9 units

Step-by-step explanation:

If you draw this one out, you should be able to notice that it is only a vertical distance it travels, which means that the difference in y-units should give you the distance.

Answer:

b

Step-by-step explanation:

The product of 56.2 and 9.2057 to the appropriate number of significant digits is 517.00.

The significant digits in a number are the digits that contribute to its precision. When multiplying numbers, the result should be rounded to the same number of significant digits as the factor with the least number of significant digits.

In this case, 56.2 has three significant digits, and 9.2057 has five significant digits. The factor with the least number of significant digits is 56.2. Therefore, the product should be rounded to three significant digits.

Multiplying 56.2 by 9.2057 gives 517.38134. Rounding this result to three significant digits gives us 517.00. The trailing zeros after the decimal point are significant in this case as they indicate the precision of the result. Hence, the correct answer is 517.00.

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The lower bound of the 95% confidence interval is given as follows:

7.981 mm.

The level of confidence of the statement is of 95%.

The t-distribution is used when the standard deviation for the population is not known, and the bounds of the confidence interval are given according to the equation presented as follows:

\(\overline{x} \pm t\frac{s}{\sqrt{n}}\)

The variables of the equation are listed as follows:

The critical value, using a t-distribution calculator, for a two-tailed 95% confidence interval, with 100 - 1 = 99 df, is t = 1.9842.

The parameters for this problem are given as follows:

\(\overline{x} = 8.1, s = 0.6, n = 100\)

Hence the lower bound of the interval is given as follows:

8.1 - 1.9842 x 0.6/10 = 7.981 mm.

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The correct option is c) Easier interpretation. One of the main advantages of simple models is their ease of interpretation. Simple models tend to have fewer parameters and less complex mathematical equations, making it easier to understand and interpret how the model is making predictions.

This interpretability can be valuable in various domains, such as medicine, finance, or legal systems, where it is important to have transparent and understandable decision-making processes.

Complex models, on the other hand, often involve intricate relationships and numerous parameters, which can make it challenging to comprehend the underlying reasoning behind their predictions. While complex models can sometimes offer higher accuracy or make more detailed predictions, they often sacrifice interpretability in the process.

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Answer:

16 hours

Step-by-step explanation:

In this question, we would need to find how long it will take to drive 1,200 miles.

We know that our speed is 75 mph.

In order to find your answer, we would divide 1,200 by 75 to get the time it took you to travel the whole distance.

Solve:

1,200/75 = 16

This means that it will take 16 hours to travel 1,200 miles at a rate of 75 mph.

Answer :

75 = 1 hour

1, 200/75 = 16 is the answer

If 75 miles per hour then use it to divide 1, 200 miles to know the hour

Hope it helped

God bless

To disprove the null hypothesis a researcher must develop a number that demonstrates the existence of a difference between two variables. this is called the alternative hypothesis.

Null hypothesis and Alternative hypothesis are two basic types of hypothesis that express the criteria of a research problem as a relationship between two or more variables.

Null hypothesis refers to the hypothesis which clarifies that there is no relationship between two variables.

An alternative hypothesis is the inverse of the null hypothesis which tells that there is a relationship between two variables.

Hence, demonstrating that there exist a difference between two variables is an alternative hypothesis.

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Answer:

x=6

Step-by-step explanation: