Part One—Review the Investment Types Use the Taking Risks Worksheet to take notes from the lesson. You may also research from outside sources, but be sure to cite these in MLA format. You must choose three different investments, one from each different risk level (aggressive, moderate, and conservative). Part Two—Select and Explain Your Investment Plan Imagine you win $10,000 in a state competition and decide to invest your prize. First, determine your risk tolerance. Then, choose two investment options from the lesson for your money. Describe your investment plan in a detailed paragraph. Be sure to include responses to the following questions: Why did you choose these two options? How may taxes, fees, and inflation affect your investments? How do your choices reflect your tolerance for risk? How do you plan to divide your money between the two investment options you chose? Be sure to include the following terms in your explanation: diversification risk rate of return interest rate


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Answer:

60

Step-by-step explanation:

The first significant figure is 5. Since the second number is 8 (greater than or equal to 5), the 5 rounds up to a 6. Thus the number becomes 60.

The distance from the summit of Mt. McKinley (Denali) to the horizon can be calculated using the formula for the distance to the horizon. The correct answer is (c) 1633 mi.

To calculate the distance from the summit of Mt. McKinley (Denali) to the horizon, we can use the formula for the distance to the horizon, which is derived from the Pythagorean theorem. The formula is given by:

distance = √(2 * R * h)

where R is the radius of the Earth and h is the height of the observer above the Earth's surface.

In this case, the height of the summit of Mt. McKinley is 20,320 feet, which is equivalent to approximately 3.85 miles. The radius of the Earth is 3950 miles.

Plugging these values into the formula, we get:

distance = √(2 * 3950 * 3.85)

≈ √(30365)

≈ 174 miles

Therefore, the correct answer is (e) 174 mi, which is the distance from the summit of Mt. McKinley to the horizon, rounded to the nearest mile.

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Answer:

y=1/2x-1

Step-by-step explanation:

hope this helps

Answer:4x

Step-by-step explanation:

Answer:

−36m2−20m

Step-by-step explanation:

Multiply yy by yy by adding the exponents.

−4⋅9m2−20m-4⋅9m2-20m

Multiply −4-4 by 99.

−36m2−20m

Answer:

I guess the answer is 0.4x+3.2=y (0.4 equals to 2/5 ) .

The time spent by Noah exercising is 130 minutes

From the question, we have the following parameters that can be used in our computation:

using the above as a guide, we have the following:

Vera = 60% * Noah

So, we have

60% * Noah = 78

Divide both sides by 60%

Noah = 130

Hence, Noah exercised for 130 minutes

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Answer:

what

Step-by-step explanation:

Answer:

u need to provide data where is data

The solution to the inequality x/3 ≤ -6 is x ≤ -18. This means that any value of x that is less than or equal to -18 will satisfy the inequality.

To solve the inequality x/3 ≤ -6, we can start by multiplying both sides by 3, since the inequality sign does not change direction when we multiply or divide by a positive number:

x/3 ≤ -6

3 * (x/3) ≤ 3 * (-6)

x ≤ -18

Therefore, the solution to the inequality x/3 ≤ -6 is x ≤ -18. This means that any value of x that is less than or equal to -18 will satisfy the inequality.

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The probability that a random student will be taking both Algebra 2 and Chemistry is 0.0136 or 1.36%.

To find the probability that a random student will be taking both Algebra 2 and Chemistry, we need to use the concept of conditional probability.

Let's denote the event of taking Algebra 2 as A and the event of taking Chemistry as C. We are given that P(A) = 0.08 (8% probability of taking Algebra 2) and P(C|A) = 0.17 (17% probability of taking Chemistry given that the student is taking Algebra 2).

The probability of taking both Algebra 2 and Chemistry can be calculated using the formula for conditional probability:

P(A and C) = P(C|A) * P(A)

Substituting the given values:

P(A and C) = 0.17 * 0.08

P(A and C) = 0.0136

Therefore, the probability that a random student will be taking both Algebra 2 and Chemistry is 0.0136 or 1.36%.

It is important to note that the probability of taking both Algebra 2 and Chemistry is determined by the intersection of the two events, which means students who are taking both courses. In this case, the probability is relatively low, as it depends on the individual probabilities of each course and the conditional probability given that a student is taking Algebra 2.

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The probability that the sample mean would be less than 31,358 miles in a sample of 242 tires if the manager is correct is 0.9925 (or 99.25%).

What is probability?

Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 means the event is impossible and 1 means the event is certain to happen.

We can use the central limit theorem to approximate the distribution of the sample mean. According to the central limit theorem, if the sample size is sufficiently large, the distribution of the sample mean will be approximately normal with a mean of 30,641 and a standard deviation of sqrt(variance/sample size).

So, we have:

mean = 30,641

variance = 14,561,860

sample size = 242

standard deviation = sqrt(variance/sample size) = sqrt(14,561,860/242) = 635.14

Now, we need to calculate the z-score corresponding to a sample mean of 31,358 miles:

z = (sample mean - population mean) / (standard deviation / sqrt(sample size))

= (31,358 - 30,641) / (635.14 / sqrt(242))

= 2.43

Using a standard normal distribution table or calculator, we can find the probability that a z-score is less than 2.43. The probability is approximately 0.9925.

Therefore, the probability that the sample mean would be less than 31,358 miles in a sample of 242 tires if the manager is correct is 0.9925 (or 99.25%).

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Answer: No

Step-by-step explanation: 6^2+7^2=85

8^2=64

Answer:

x1 = 0.64575

x2 = -4.64574

Step-by-step explanation:

Step 1: We want to rearrange the equation so all the variables are on one side

0 = -x² - 4x + 3

Step 2: We take out -1 in the first 2 terms so a = 1

0 = -(x² + 4x) + 3

Step 3: Force a square, take the 'b' value and divide it by 2 and square the result. Add it and subtract it from the inside of the brackets

b = 4

4/2 = 2

2² = 4

0 = -(x² + 4x + 4 - 4) + 3

Step 4: Move the -4 out remembering to apply the -

= -(x² + 4x + 4) + 4 + 3

Step 5: We notice is inside the brackets is a perfect square

0 = -(x + 2)² + 7

Therefore the vertex form of the equation is

y = -(x + 2)² + 7

Step 6: We want to solve the equation (find the x intercepts) so we set y to 0 and solve for x

0 = -(x + 2)² + 7

-7 = -(x + 2)²

7 = (x + 2)²

\( \sqrt{7 } = x + 2 \)

\(x = \sqrt{7} - 2\)

1st Solution:

x = +2.64575 - 2

x = 0.64575

2nd Solution:

x = -2.64575 - 2

x = -4.64574

Answer:

\(x=2\)

Step-by-step explanation:

\(-7(x-3)=x+5\)

Distribute the \(-7\) into \((x-3)\):

\(-7x+21=x+5\)

Subtract \(x\) from both sides of the equation:

\(-8x+21=5\)

Subtract \(21\) from both sides of the equation:

\(-8x=-16\)

Divide both sides of the equation by the coefficient of \(x\), which is \(-8\):

\(x=2\)

_

Check your work by substituting \(2\) into the initial equation:

\(-7(2-3)=2+5\)

\(-14+21=2+5\)

\(7=7\)

The answer is correct!

There are 10 possible digits (0-9) that can be used for each of the nine digits in a Social Security number. Therefore, the total number of possible Social Security numbers is 10^9, which is 1 billion.

A Social Security number consists of nine digits. Since each digit can be any of the numbers 0 through 9, there are 10 possible choices for each digit. To find the total number of possible Social Security numbers, you would multiply the number of choices for each digit together: 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10, which equals 1,000,000,000 (one billion) possible Social Security numbers.

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The probability that the sample mean will be 0.54 or larger, given a population mean of 0.5, can be calculated using statistical techniques.

To calculate the probability, we need additional information about the distribution of distances, such as the standard deviation or the sample size. The probability can be determined using the central limit theorem if the sample size is large enough or if the population distribution is approximately normal.

Assuming the population distribution is approximately normal or the sample size is large, we can use the z-score formula to calculate the probability. The z-score measures the number of standard deviations a particular value is from the mean. In this case, we want to calculate the probability of obtaining a sample mean of 0.54 or larger, given a population mean of 0.5.

First, we calculate the z-score using the formula:

z = (sample mean - population mean) / (standard deviation / sqrt(sample size))

Without information about the standard deviation or sample size, we cannot calculate the z-score or the probability. If you provide these additional details, I can assist you further in calculating the probability.

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The given series is an alternating series with a pattern of adding and subtracting consecutive terms. To determine Sn, we need to find the sum of the first n terms of the series. Therefore, the sum of the series is -13,365.

In the given series, each term is obtained by adding 11 to the previous term and then changing its sign. We can observe that the first term is positive (45), the second term is negative (-56), the third term is positive (67), and so on.

To find Sn, we need to determine the number of terms in the series and then calculate the sum. The series ends with -342, so we need to find the position of -342 in the series.

To do this, we can subtract 45 from -342 and divide the result by 11 to find the number of terms. (-342 - 45) / 11 = -297 / 11 = -27. Therefore, the series consists of 27 terms.

To find the sum of the first 27 terms, we can use the formula for the sum of an arithmetic series: Sn = (n/2)(a + l), where n is the number of terms, a is the first term, and l is the last term.

Using the formula, we can calculate Sn as follows: Sn = (27/2)(45 - 342) = (27/2)(-297) = -13,365.

Therefore, the sum of the series is -13,365.

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Answer:

i cant see the picture

Step-by-step explanation:

Answer: 1000 thousands

Step-by-step explanation: million is 1000 thousands, a billion is 1000 millions, and a trillion is 1000 billions. HOPE IT HELPS YOU .PLEASE GIVE BRAINLIEST .THANKS .

The rate at which the distance from the plane to the station increases is 537 miles/hour. Computed using Pythagoras Theorem and Differentiation.

We assume the station to be at point A.

The plane when directly over the station, takes point C.

As it is flying horizontally continuously at an altitude of 1 mile, AC = b = 1 mile.

The plane flies continuously, and when it is at a distance of 3 miles from the station, it is at point B.

The distance between the plane and the station of 3 miles can be shown as AB = c = 3 miles.

The movement of the plane from C to B can be shown as BC = a.

Now, from the given case, we get a right triangle ABC.

By Pythagoras' Theorem,

a² + b² = c² ... (i).

or, a² + 1² = 3²,

or, a² = 9 - 1 = 8,

or, a = 2√2 miles.

We are told that the plane is moving at a speed of 570 miles/hour.

This can be shown as, da/dt = 570 miles/hour.

As the plane is moving horizontally, the vertical distance between the plane and the station doesn't change, that is, db/dt = 0.

In the question, we are asked to find the rate at which the distance from the plane to the station is increasing, that is, we are asked to find dc/dt.

Differentiating (i), with respect to time t, we get:

2a(da/dt) + 2b(db/dt) = 2c(dc/dt).

Substituting values of a = 2√2 miles, b = 1 mile, c = 3 miles, da/dt = 570 miles/hour, and db/dt = 0, we get:

2(2√2)(570) + 2(1)(0) = 2(3)(dc/dt),

or, 2280√2 + 0 = 6(dc/dt),

or, dc/dt = 380√2 miles/hour = 537.40 miles/hour ≈ 537 miles/hour.

Thus, the rate at which the distance from the plane to the station increases is 537 miles/hour. Computed using Pythagoras Theorem and Differentiation.

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Distributional semantics develops methods for measuring and classifying semantic similarity between language elements.

To quantify and classify semantic relatedness among linguistic items based on their distributional qualities in large samples of language data, distributional semantics is a field of study. The distributional hypothesis captures the fundamental principle of distributional semantics.

The semantic theory of language usage, states that terms used and occurring in comparable situations tend to have similar meanings is the basis for the distributional hypothesis in linguistics. For instance, the words "fire" and "dog" have very different meanings and aren't typically used together in a sentence. However, the terms "dog" and "cat" are occasionally used interchangeably, suggesting that they may have a similar connotation.

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Answer:

Step-by-step explanation:

not sure 2

Answer:

The 3rd one is correct.

Step-by-step explanation:

The equation of the line perpendicular to 5x - 4y = -4 and passing through the point (6,1) is:

y = (-4/5)x + 29/5

To find the equation of a line parallel to the line 5x - 4y = -4 and passing through the point (6,1), we can use the fact that parallel lines have the same slope.

First, let's rearrange the given line to the slope-intercept form (y = mx + b) to determine its slope:

5x - 4y = -4

-4y = -5x - 4

y = (5/4)x + 1

The slope of the given line is 5/4.

Since the line we are looking for is parallel, it will have the same slope. So the equation of the parallel line can be written as:

y = (5/4)x + b

To find the value of b, we substitute the coordinates of the given point (6,1):

1 = (5/4)(6) + b

1 = 15/2 + b

b = 1 - 15/2

b = -13/2

Therefore, the equation of the line parallel to 5x - 4y = -4 and passing through the point (6,1) is:

y = (5/4)x - 13/2

To find the equation of a line perpendicular to the given line, we need to determine the negative reciprocal of its slope. The slope of the given line is 5/4, so the slope of the perpendicular line will be -4/5.

Using the point-slope form of a line, we can write the equation as:

y - 1 = (-4/5)(x - 6)

Expanding and rearranging the equation, we get:

y - 1 = (-4/5)x + (24/5)

y = (-4/5)x + 24/5 + 1

y = (-4/5)x + 29/5

Therefore, the equation of the line perpendicular to 5x - 4y = -4 and passing through the point (6,1) is:

y = (-4/5)x + 29/5

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To determine whether the set S is linearly independent or linearly dependent.The set is linearly independent. This is because the only way to make a linear combination of vectors equal to the zero vector is to have all the coefficients equal to zero.

A linear combination of vectors is the sum of a scalar multiple of each vector in the set. We must check if the equation a(-2,2,4) + b(1,9,-2) + c(2,3,-3) = (0,0,0) has only the trivial solution, i.e., a=b=c=0. This gives us the system of equations,-2a + b + 2c = 01a + 9b + 3c = 02a - 2b - 3c = 0We can solve the system of equations by using Gauss-Jordan elimination. The augmented matrix for the system is:[-2 1 2 0][1 9 3 0][2 -2 -3 0]Let's use elementary row operations to simplify the matrix.

We can swap the first and second rows since the first element in the second row is 1.[1 9 3 0][-2 1 2 0][2 -2 -3 0]We can then add twice the first row to the third row to eliminate the leading coefficient in the third row.[1 9 3 0][-2 1 2 0][0 16 3 0]We can then add nine times the first row to the second row to eliminate the leading coefficient in the second row.[1 9 3 0][0 17 15 0][0 16 3 0]We can then add -16/17 times the second row to the third row to eliminate the leading coefficient in the third row.[1 9 3 0][0 17 15 0][0 0 -117/17 0]We see that the only solution is a=0, b=0, and c=0. Therefore, the set S is linearly independent.

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Hey there!

Finding the the answer to the [Binomial]

(a + b)^2

CONVERT:

= (a + b)(a + b)

DISTRIBUTE

= a(a) + a(b) + b(a) + b(b)

= a^2 + ab + ab + b^2

COMBINE the LIKE TERMS

= (a^2) + (ab + ab) + (b^2)

= a^2 + ab + ab + b^2

= a^2 + 1ab + 1ab + b^2

= a^2 + 2ab + b^2

Therefore, your answer should be:

a^2 + 2ab + b^2

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

95%

Step-by-step explanation:

95% *980 =931

Answer:

Step-by-step explanation:

Subtract the equations. We get

13y = 52

y=4

SUBSTITUTE y in 1st equation and find x

-3x+8(4) =11

-3x = 11-32

-3x = -21

x=7

Answer:

\(sa = \pi {d}^{2} \\ = {6}^{2} \pi \\ = 36\pi \\ \)

N=36

Answer:

Answer attached

Step-by-step explanation: