Tori bought one share of Macy's stock on Nov 1, 2016 for $33.38.
Four years later, she sold it and the closing price for that day was
$5.09. a) How much money did she gain/lose with this stock?
b) What is her rate of return?

Using your own examples, explain why all statements are sentences but not all sentences are statements. Clearly indicate which type of non-statement you have used in each case. (Your response should be between 500 and 600 words).

Answer:

0.285714 -> 0.29

Step-by-step explanation:

Answer:

62-24=38

or 24 + x = 62

Step-by-step explanation:

The equation to determine whether Owen earned $38 or $31 on Saturday afternoon ⇒ $24 + $ x = 62.

The solution of a linear equation is defined as the points, in which the lines represent the intersection of two linear equations. In other words, the solution set of the system of linear equations is the set of all possible values to the variables that satisfies the given linear equation.

According to the questions,

On Saturday morning, Owen earned $24 raking leaves.

By the end of the afternoon he had earned a total of $62.

The equation to determine whether Owen earned $38 or $31 on Saturday afternoon.

⇒ $62 - $24 = $38

⇒ $24 + $ x = 62

Hence the required equation is $24 + $ x = 62.

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So, there are 54,264 different strings of six hexadecimal digits that do not have any repeated digits.

To determine the number of strings of six hexadecimal digits without any repeated digits, we can consider each digit position separately.

For the first digit, we have 16 choices (0-9 and A-F).

For the second digit, we have 15 choices remaining (excluding the digit already chosen for the first position).

Similarly, for the third digit, we have 14 choices remaining, and so on.

Therefore, the total number of strings of six hexadecimal digits without any repeated digits can be calculated as:

16 * 15 * 14 * 13 * 12 * 11 = 54,264

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The probability that the two chords chosen randomly will intersect is 1/3

The line segment connecting two points on the circle that are randomly (and with uniform probability) chosen is known as a "random chord" in this scenario.

From a straightforward counting argument, it is possible to deduce the likelihood that two random chords will intersect.

Let's say you randomly choose four locations on the circle. Identify the points as p1, p2, p3, and p4 based on their polar angles.

The following diagram shows three different ways the points can be placed on the circle.

Due to the fact that only one of the three potential configurations is conceivable, the likelihood that two random chords will meet is 1/3.

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if you meant simplification

\(4^3\sqrt{-88}\implies 64\sqrt{-88}\implies 64\sqrt{(-1)(2^2)(2)(11)}\implies 64(2)\sqrt{(-1)(2)(11)} \\\\\\ 128\sqrt{(2)(11)}\cdot \sqrt{-1}\implies 128\sqrt{22}~i\)

Answer:

  90°; 55°; 35°; 110°; 70°

Step-by-step explanation:

A rectangle has corner angles that are 90°. When the corner angle is divided into two parts, the total of the parts is 90°.

Each of the triangles is isosceles. The figure is symmetrical about its center.

An exterior angle to a triangle is equal to the sum of the remote interior angles.

__

∠SRT = 90° . . . . a corner angle

∠STR = 55° . . . . symmetrical to the given angle

∠QRS = 180° -55° -90° = 35° . . . . sum of angles in ΔQRS is 180°

∠QPT = 2×55° = 110° . . . . exterior angle to ΔQPS; ∠QSP =∠SQP

∠TPR = 180° -110° = 70° . . . . forms a linear pair with ∠QPT

_____

There are numerous ways to figure any or all of these angles. They come down to the fundamentals: angles in a triangle total 180°; angles that form a line total 180°; corner angles of a rectangle are 90°. Base angles of an isosceles triangle are congruent.

The exterior angle rule derives from the sum of angles in a triangle and on a line both being 180°.

1.4 feet

let me know if you get it right hope i helped!

Answer:

14

Step-by-step explanation:

a2+(48)2=

 502\,\,50^{2}502

Use the Pythagorean Theorem.

a2+2304=a^{2}+2304=a2+2304=

 2500\,\,25002500

Simplify.

−2304-2304\phantom{=}−2304=

 −2304\,\,-2304−2304

Subtract 2304 from both sides.

a2=a^{2}=a2=

 196\,\,196196

a2=\sqrt{a^{2}}=a2

​=

 ±196\,\,\pm\sqrt{196}±196

​

Square root both sides.

a=a=a=

 14\,\,1414

Simplify. Ignore negative root, as length must be positive.

There is no danger of a collision, as the two paths will never met, due to the negative discriminant of the quadratic function.

A quadratic equation is modeled by the general equation presented as follows:

y = ax² + bx + c

The discriminant of the quadratic function is given by the equation as follows:

Δ = b² - 4ac.

The numeric value of the coefficient and the number of solutions of the quadratic equation are related as follows:

The equations for this problem are given as follows:

Replacing the first equation into the second, we have that:

x + x² + 1 = -4

x² + x + 5 = 0.

The coefficients are:

a = 1, b = 1, c = 5.

Hence the discriminant is of:

Δ = 1² - 4 x 1 x 5

Δ = -19.

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The final answer is Q / T + C.It's important to note that in both cases, the final answer represents (A) as the subject and is simplified to the best possible extent based on the given expressions.

Let's solve for (A) in both cases step-by-step:

Making (A) the subject: (xy - z) / X

To make (A) the subject, we want to isolate (A) on one side of the equation. Here's the step-by-step process:

Step 1: Distribute the division by X to both terms inside the parentheses:

(A * X) / X - z / X

Step 2: Simplify the expression:

A - z / X

Therefore, the final answer is A - z / X.Making (A) the subject:

(Q + TC) / T

To make (A) the subject, we follow a similar process:

Step 1: Distribute the division by T to both terms inside the parentheses:

Q / T + TC / T

Step 2: Simplify the expression:

Q / T + C.

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The correct option regarding the sampling distribution of p, considering the Central Limit Theorem, is given as follows:

D. The shape of the sampling distrbution of p is approximately normal because n <= 0.05N and np(1 -p) > 10.

The mean of the sampling distribution of p is of:

0.388.

The standard deviation of the sampling distribution of p is of:

0.0184.

The Central Limit Theorem defines the distribution of the sampling distribution of sample proportions of a proportion p in a sample of size n, in which:

As long as these two conditions are respected:

The values of the parameters in this context are given as follows:

N = 30000, n = 700, p = 0.388.

Hence the conditions are:

Then the shape is approximately normal and option D is correct.

The mean of the distribution is of:

\(\mu = p = 0.388\)

The standard error of the distribution is of:

\(s = \sqrt{\frac{p(1 - p)}{n}} = \sqrt{\frac{0.388(0.612)}{700}} = 0.0184\)

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Answer:

900 degrees

Step-by-step explanation:

Answer:

−8\(n^{2}\)

Step-by-step explanation:

Hey there

Steps :

-n x 8n

Apply the exponent rule : \(a^{b} * a^{c} = a^{b + c}\)

\(-n = -n^{1}\)

\(n = n^{1}\)

\(-8n^{1+1}\)

add the numbers: 1+1

\(-8n^{1+1} = -8n^{2}\)

Answer:

x=3

z=112

Step-by-step explanation:

9x-27 needs to be solved for x.

Set the equation equal to zero.

9x-27=0

Now add 27 to both sides.

9x=27

Divide both sides by 9

x=3

Plug 3 into 5x+53 to find the angle.

5(3)+53=15+53=68.

Since 5x+53 and Z are  on the same line, that means, when added together, they equal 180 degrees. Subtract 68 from 180.

z=112

Total number of customers who have ages more than 80 years = 21

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

Given are a stem and leaf plot.

This shows the age of customers who were interviewed in a survey by a store.

From the plot, we can say that 10th digit is represented by the stem

For greater than 32, obviously, 1,2 stem values will not work.

For stem 3, we can leave 30 and 31 start with 2 in leaf and 3 n stem

We have 32, onwards 7 persons

Similarly, for 4, we have 6, for 5 we have 5, for 6 we have 4 and for 7 we have 1

Hence total number of customers who have ages more than 80 years = 21

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The  number of self-propelled mowers and riding mowers who paid total fee of $900 with $20 and $40 each are equal to 5 and 20 respectively.

Let 'x' be the number of self-propelled mowers and 'y' be the number of riding mowers.

Total number of self-propelled and riding mowers = 25

⇒ x + y = 25

⇒ x = 25 - y __(1)

Total fees paid = $900

Rental cost for each  self-propelled mower = $20

Rental cost for each riding mower = $40

20x + 40y = 900

⇒ x + 2y = 45___(2)

Substitute the value x in from (1) in  (2) we get,

⇒ 25 - y + 2y = 45

⇒ y = 20

⇒ x = 5

Therefore, the number of self-propelled mowers and riding mowers as per given total fee are 5 and 20 respectively.

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Answer:

136 \(m^{2}\)

Step-by-step explanation:

Well if you find the lateral area (the area of the rectangles on the sides) to get 112, so you just need to add that to the triangles and for those (they add up to 36) you can just use the formula for the area of a triangle,  which is \(b*h/2\).

Hope this helps :)

The domain of the function \(\(y = 9^x\) is \((-\infty, \infty)\)\) and the range is \(\((0, \infty)\).\)

To determine the domain of the function \(\(y = 9^x\),\) we need to consider the values of \(\(x\)\) for which the function is defined. Since the base of the exponential function is 9, the function is defined for all real values of \(\(x\),\) which means the domain is \(\((-\infty, \infty)\).\)

Next, let's consider the range of the function \(\(y = 9^x\).\) The range refers to the set of all possible values that the function can take. Since the base 9 raised to any real power \(\(x\)\) will always be positive, the range of the function is \(\((0, \infty)\).\) The function never reaches zero or negative values.

In summary, the function \(\(y = 9^x\)\) has a domain of \(\((-\infty, \infty)\)\) because it is defined for all real values of \(\(x\),\) and it has a range of \(\((0, \infty)\)\) because it only takes positive values.

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========================================================

Explanation:

Plane symmetry only applies to objects in 3D space. So choice A won't apply.

Point symmetry is where we can rotate the object some number of degrees (between 0 and 360 excluding the endpoints) and have it line up with itself. We can't do such a rotation, so this figure has no point symmetry. We rule out choice B.

Choice C works since we can reflect the upper half of the letter over the horizontal midline to have its reflection line up with the lower half, and vice versa. There is only one line of symmetry here.

Choice D is not true since choice C was shown to be true.

Answer: Is c-line

Step-by-step explanation:

The guy above me got it right I just did the quiz

The total number possible house numbers  is  2 × 28  =  56

From the question, we have the following information available is:

Dr. Math's four-digit house number ABCD contains no zeroes and can be split into two different two-digit primes AB and CD where the digits A, B, C and D are not necessarily distinct.

And, each of the two digit primes number is less than 40

We have to find the number of possible houses.

Now, According to the question:

We have to take out the primes number in between 1 to 40.

So, The prime numbers in between 1 to 40 are:

The two digit primes < 40 are

11, 13, 17, 19, 23, 29, 31, 37

Any two of these eight can be selected  =  C(8,2)  = 28

And each of these can be arranged in two ways

Hence, the total number possible house  numbers  is  2 × 28  =  56

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Strategies such as fast-tracking, crashing, prioritization, and resource optimization can be employed to reduce the project completion time by 5 weeks.


To reduce the completion time of the project by 5 weeks, we need to analyze the provided information and make appropriate adjustments. The initial completion time of the project is 25 weeks.

To achieve a reduction of 5 weeks, we can consider several strategies:

1. Fast-tracking: This involves overlapping or parallelizing certain project activities that were initially planned to be executed sequentially. By identifying tasks that can be performed concurrently, we can potentially save time. However, it's important to evaluate the impact on resource allocation and potential risks associated with fast-tracking.

2. Crashing: This strategy focuses on expediting critical activities by adding more resources or adopting alternative approaches to complete them faster. By compressing the schedule of critical tasks, we can reduce the overall project duration. However, this may come at an additional cost.

3. Prioritization: By reevaluating the project tasks and their priorities, we can allocate resources more efficiently. This ensures that critical activities receive higher attention and are completed earlier, resulting in an accelerated project timeline.

4. Resource optimization: Analyzing the resource allocation and identifying potential areas for optimization can lead to time savings. By ensuring that resources are utilized effectively and efficiently, we can streamline the project execution process.

It's important to note that implementing any of these strategies requires careful evaluation, considering factors such as project constraints, risks, cost implications, and stakeholder agreements. A comprehensive analysis of the project plan, resource availability, and critical path can guide the decision-making process for reducing the project completion time.

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12) There were about 557 principals in attendance. 13) Option A: The college will have about 480 students who prefer cookies. 14) Option C: bar graph, title favorite sport and the x axis labeled sport and the y axis.

The relationship between two quantities that are measured on the same scale and in the same units is known as a percentage. The relative size or magnitude of one thing in comparison to another is represented by proportions, which are frequently stated as ratios, fractions, or percentages. For instance, if there are 8 girls and 12 boys in a class, the girl-to-boy ratio is 8:12, or 2:3, which indicates that there are 3 guys for every 2 girls. Statistics, geometry, and physics are just a few of the mathematical and scientific disciplines that use proportions. Proportions are frequently used in statistics to describe the distribution of a population or a sample.

12) For the number of principals in conference we set up a proportionality with total people as follows:

We know that, 52 principals out of 70 people thus:

52/70 = x/750

Now,

x = (52/70) * 750

x = 557.14

Hence, we can predict that there were about 557 principals in attendance at the conference.

13) Given that, out of 225 students 27 prefer cookies thus,

27/225 = 0.12

That is 12% students like cookies.

Now, for the total number of students we have:

0.12 * 4000 = 480

Thus, option A: The college will have about 480 students who prefer cookies.

14) For the collected data the best representation is option C: bar graph with the title favorite sport and the x axis labeled sport and the y axis labeled number of students, with the first bar labeled basketball going to a value of 17, the second bar labeled baseball going to a value of 12, the third bar labeled soccer going to a value of 27, and the fourth bar labeled tennis going to a value of 44.

15) For the given description of the line plot the median is:

For Bus 47 = 16

For Bus 18 = 13

The faster bus is Bus 47, with a median of 16.

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Answer:

-4x

Step-by-step explanation:

3-7=-4 just add a x

We must solve the following sum:

If we are not able to use a calculator, we can do the following trick:

Let's denote Molly's age as "M" and her father James' age as "J". We know that James is currently 33 years old (J = 33) and his age is three times Molly's age minus three years (J = 3M - 3).We need to find how many years from now (let's call this "Y") will James' age be twice Molly's age. In other words, in Y years, James will be 2 times older than Molly (J + Y = 2(M + Y)).

Now let's solve the problem step by step:

1. We know that J = 33 and J = 3M - 3. So, we can write the equation as: 33 = 3M - 3.
2. Add 3 to both sides: 36 = 3M.
3. Divide both sides by 3: M = 12. So, Molly is currently 12 years old.

Next, we need to find Y:

1. We know that J + Y = 2(M + Y). Substitute J and M with their values: 33 + Y = 2(12 + Y).
2. Simplify the equation: 33 + Y = 24 + 2Y.
3. Subtract Y from both sides: 33 = 24 + Y.
4. Subtract 24 from both sides: Y = 9.

So, in 9 years from now, James will be twice Molly's age.

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Answer:

C = 34.56cm

Step-by-step explanation:

The circumference of a circle can be calculated using the formula:

Circumference = π * diameter

Given that the diameter of the circle is 11 cm, we can substitute this value into the formula:

Circumference = π * 11 cm

Circumference = 11π cm

Answer:

2x-6

Step-by-step explanation:

Answer:

y = 2x - 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 2x - 4 ← is in slope- intercept form

with slope m = 2

Parallel lines have equal slopes, thus

y = 2x + c ← is the partial equation

To find c substitute (1, 1) into the partial equation

1 = 2 + c ⇒ c = 1 - 2 = - 1

y = 2x - 1 ← equation of parallel line

The significance of the slope in regression can be determined by conducting a hypothesis test

The slope of the regression line in a regression analysis shows how  dependent variable changes as the independent variable increases by a unit. A hypothesis test on a slope coefficient, commonly referred to as the beta coefficient or the regression coefficient, can be used to ascertain the significance of the slope. The slope coefficient is compared to a null hypothesis value of zero in the hypothesis test.

The null hypothesis is rejected and it is determined that there is a significant association between the independent and dependent variables if the p-value for the slope coefficient is less than the significance threshold. Therefore, slope is not equal to zero and there is an association amongst changes in the independent variable and those in the dependent variable.

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Answer:

Connor will earn more interest because he is getting compound interest.

Step-by-step explanation:

I have to assume in this case that the interest is 3.5% Per year:

Simple Interest = P(r + t)

{P = Principle, r = interest rate, t = time)

Wendy = $8,300 x (3.5% x 25)

Wendy = $7,262.50 (2 d.p)

Wendy = $8,300 + $7,262.50

Wendy = $15,562.50

Compound Interest = \(P (1 +r )^{t}\)

{P = Principle, r = interest rate, t = time)

Connor = $8,300 x \((1 + 0.035)^{25}\)

Connor = $19,614.93

Wendy's Interest = $15,562.50 - $8,300 = $7,262.50

Connor's interest = $ 19,614.93 - $8,300 = $11,314.93

Connor earned more interest by $4,052.43

___________________________________________________

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The largest integer that is a divisor of (n + 1)(n + 3)(n + 5)(n + 7)(n + 9)  for all positive even integers is 15

The correct answer is an option (d)

In this question, we need to find the largest integer that is a divisor of (n + 1)(n + 3)(n + 5)(n + 7)(n + 9)  for all positive even integers n.

We can observe that (n + 1), (n + 3), (n + 5), (n + 7) and (n + 9)  are 5 consecutive odd integers

In every 5 consecutive odd positive integers, one of them is always divisible by 3 and one of them is always divisible by 5.

This means, (n + 1)(n + 3)(n + 5)(n + 7)(n + 9) will be divisible by both 3 and 5

i.e., (n + 1)(n + 3)(n + 5)(n + 7)(n + 9) will also divisible by 15 (3 * 5 = 15)

Therefore, the largest integer that is a divisior of (n + 1)(n + 3)(n + 5)(n + 7)(n + 9)  = 15

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