A secant is a line that intersects a circle in exactly one point.

\(~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill & \stackrel{ tripled }{\$ 1500}\\ P=\textit{original amount deposited}\dotfill &\$500\\ r=rate\to r\%\to \frac{r}{100}\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years\dotfill &8 \end{cases}\)

\(1500 = 500\left(1+\frac{\frac{r}{100}}{12}\right)^{12\cdot 8}\implies \cfrac{1500}{500}= \left( 1+\cfrac{r}{1200} \right)^{96} \\\\\\ 3=\left( \cfrac{1200+r}{1200} \right)^{96}\implies \sqrt[96]{3}=\cfrac{1200+r}{1200}\implies 1200\sqrt[96]{3}=1200+r \\\\\\ 1200\sqrt[96]{3}-1200=r\implies \stackrel{ \% }{13.81}\approx r\)

Answer:

Please read the assumptions that lead to the proposed answer of options a, b, and e being correct.  Options c and d are easily rejected.  The question is ambiguous about the locations of the angles.

Step-by-step explanation:

Parallel lines have slopes that are identical.  Lines p and q have the same slopes.

It is difficult imagining what angles are represented by x, y, and z.  There are only 2 lines, and they do not intersect.  The locations of the angles are not identified.  The lack of an intersecting point means it is free range as to where we assign the angles.

The attached graph illustrates some possibilities for x, y, and z.  It uses two simple equations as examples, with the same slope to make them parallel.  Assinment of any angles requires the use of an imaginary line that intersects the two parallel lines.  Even then, there aren't many unique locations for the angles.  To illustrate the analysis, lets assign the angles x, y, and z to thelocations shown on the graph.  

Even with this huge step, there is limited information to be able to identify which of the answer options is correct.  We can say that:

x = z

x+y=180

y+z=180

The answer options (below) appear to have similar relationships, so let's agree that the use of the imaginary line, plus the locations of x, y, and z are valid.  Looking at the answer options, we can match choices a, b, and e to the conclusions above.  d makes no sense because it is not an equation.  c says that both lines must be perpendicular to the x axis, a limitation that is relatively immaterial to whether they are parallel.  The condition of being parallel depends on those two angles being the same (e.g., 45 and 45, 22 and 22, etc.) and not require that they both be 90.

Answer Options               Guarantee Parallel?

a. x = z                                     Yes

b. x + y = 180 degree              Yes

c. x + z = 180 degree              No

d. x + y                                     No

e. y + z = 180                           Yes

Answer:

13 + 110 is 1330 is the answer

1/3 + 1/10

= 10/30 + 3/30

= 13/30

The mean of this distribution is 99.

The standard deviation of this sampling distribution is 0.03399.

We are asked to find the mean and the standard deviation for the sampling distribution for this sample with a sample size, n = 215.

The sampling distribution of x has a mean μₓ = μ and standard deviation σₓ =​ σ/√n.

The true proportion of the sample is given to be p = 46% = 0.46.

Thus, the mean μ of the population = p*n = 0.46*215 = 98.8 ≈ 99.

Thus, the mean of the sample μₓ = μ = 99.

The standard deviation of the population, σ = √((p)(1 - p)) = √((0.46)(1 - 0.46)) = √0.46*.54 = √0.2484 = 0.498397431.

Thus, the standard deviation of the sample σₓ =​ σ/√n = 0.498397431/√215 = 0.03399.

Thus, The mean of this distribution is 99.

The standard deviation of this sampling distribution is 0.03399.

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The provided question is incomplete. The complete question is:

"Data from the U.S. Department of Education indicates that 46% of business graduate students from private universities had student loans. Suppose you randomly survey a sample of graduate business students from private universities. Consider the sampling distribution (sample size n = 215) for the proportion of these students who have loans.

What is the mean of this distribution?

What is the standard deviation of this sampling distribution (i.e., the standard error)?"

Answer:where is the number before centered so i can do it & also Write at least 20 characters to explain it well.

Step-by-step explanation:

The larger the \(r^{2}\) and the smaller the s ( standard error).

          \(s = \sqrt{\frac{1-r^{2} }{n-2} }\)

          Where, \((1-r^{2} )\) is the non determination factor, and (n−2)      represents the degrees of freedom.

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Answer:

C = E/m/2

Step-by-step explanation:

E = mc2

first you divide by m then you have E/m = c2

next you divide the two and you're left with E/m/2 = c

I think this is right correct me if im wrong :)

We can represent 0.614 using only 5 tenths as \(\mathbf{\dfrac{6.14}{10}}\)

A decimal is a number that is divided into two parts: a whole and a fraction. Between integers, decimal numbers are used to express the numerical value of complete and partially whole quantities.

The accepted method for representing both integer and non-integer numbers is the decimal number system.

From the given information, we are to represent 0.614 by using only 5 tenths.

Representing 0.614 in the same form, we have:

\(\mathbf{=\dfrac{0.614\times 1000}{1\times 1000}}\)

\(\mathbf{=\dfrac{614}{1000}}\)

\(\mathbf{=\dfrac{6.14}{10}}\)

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Answer: 6.14/10

Step-by-step explanation:

Answer:

I dont know if this is supposed to be solved a certain way for a class, but as a bargain shopper, this is what I would do to figure out the best value.

Step-by-step explanation:

First divide $10 by 4:   10.00/4=2.5 or $2.50 per card

Then, divide $14 by 6:  14.00/6=2.3333333 so about $2.33 per card

Now, just look at the two answers and see which one is less.

If you buy 4 cards for $10, you will pay $2.50 for each card and if you buy 6 cards for $14, you will pay about $2.33 for each card. Therefore, the better value would be the 6 cards for $14.

Answer:

0.36

0.0068

0.043

0.00048

Step-by-step explanation:

trust me bro

Answer:

Angle A: 28 degrees

Angle B: 24 degrees

Step-by-step explanation:

Hi there!

The angle that measures 52 degrees (angle DCA) is one of the exterior angles of a triangle. An exterior angle of a triangle is equal to the sum of the opposite interior angles, which in this case would be angles A and B. Knowing this, we can set up the following equation:

\(4y-4+3y=52\)

1) Solve for y

\(4y-4+3y=52\)

Combine like terms

\(7y-4=52\)

Add 4 to both sides to isolate 7y

\(7y-4+4=52+4\\7y=56\)

Divide both sides by 7

\(\frac{7y}{7}=\frac{56}{7} \\y=8\)

Therefore, y is equal to 8.

2) Solve for angles A and B

Angle A:

\(4y-4\\=4(8)-4\\=32-4\\=28\)

Angle B:

\(3y\\=3(8)\\=24\)

I hope this helps!

Answer:

59.8

Step-by-step explanation:

20÷100×299

0.2×299

59.8

Answer:

10 and 2

Step-by-step explanation:

10+2=12

10 is even

2*2=4  10-4+6

Hope this helps ! :)

The standard error of the mean is approximately $115.63.

The standard error of the mean (SEM) measures the variability or uncertainty in the sample mean compared to the true population mean. It indicates the average amount that the sample mean differs from the population mean.

To calculate the standard error of the mean, we use the formula:

SEM = σ / √n

Where:

SEM: Standard error of the mean

σ: Population standard deviation

n: Sample size

Given information:

Population standard deviation (σ) = $1,850.00

Sample size (n) = 256

Plugging in the values into the formula, we can calculate the standard error of the mean:

SEM = 1850 / √256

To simplify the calculation, let's first calculate the square root of 256:

√256 = 16

Now, we can divide the population standard deviation by the square root of the sample size:

SEM = 1850 / 16

Simplifying the fraction, we have:

SEM = 115.625

Therefore, the standard error of the mean is approximately $115.63.

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\( \sf{\qquad\qquad\huge\underline{{\sf Answer}}} \)

Rate of traveling is 10 mph, we have been asked to find how long the person will take to travel 1.25 miles.

By speed, distance and time formula :

\(\qquad \sf  \dashrightarrow \:d istance= speed \times time\)

\(\qquad \sf  \dashrightarrow \:1.25 = 10 \times t\)

\(\qquad \sf  \dashrightarrow \:t = \dfrac{1.25}{10} \)

\(\qquad \sf  \dashrightarrow \:t = 0.125 \: \: hours\)

or

\(\qquad \sf  \dashrightarrow \:t = 0.125 \times 60\)

\(\qquad \sf  \dashrightarrow \:t = 7.5 \: \: minutes\)

Answer: x = -4 and x = 2.

To factor a quadratic equation in the form of x^2 + bx + c = 0, we need to find two numbers that when multiplied together, give us c, and when added or subtracted, give us b.

We need to find two numbers whose product is -8 and whose sum is 2. These numbers are 4 and -2, so we can write:

x^2 + 2x - 8 = (x + 4)(x - 2) = 0

Setting each factor to zero, we get:

x + 4 = 0 or x - 2 = 0

Solving for x in each equation, we get:

x = -4 or x = 2

So, the solutions to the equation x^2 + 2x - 8 = 0 are x = -4 and x = 2.

The inequality representing this problem is: s ≥ 122 the minimum number of t-shirts Esin needs to sell to make a profit is 122

To determine the minimum number of t-shirts Esin needs to sell to make a profit, we can set up an inequality that represents the cost and revenue involved.

Let's consider the cost and revenue components:

Cost:

Esin spent $2500 to purchase supplies initially. Additionally, she uses about $4.50 worth of supplies per t-shirt printed. So the total cost (C) for printing s t-shirts can be expressed as:

C = 2500 + 4.50s

Revenue:

Esin charges $25 for each t-shirt sold. The revenue (R) from selling s t-shirts can be expressed as:

R = 25s

To make a profit, the revenue should be greater than or equal to the cost. Therefore, the inequality representing the profit condition is:

Revenue ≥ Cost

25s ≥ 2500 + 4.50s

Simplifying the inequality:

25s - 4.50s ≥ 2500

20.50s ≥ 2500

Dividing both sides of the inequality by 20.50:

s ≥ 2500 / 20.50

Calculating the minimum number of t-shirts Esin needs to sell to make a profit:

s ≥ 121.95

Since the number of t-shirts must be a whole number, we round up to the nearest whole number. Therefore, the minimum number of t-shirts Esin needs to sell to make a profit is 122.

The inequality representing this problem is:

s ≥ 122

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Being a listed company on the Jamaica Stock Exchange has three consequences for Derrimon Trading Limited. Firstly, it provides access to additional capital for expansion and growth. Secondly, it increases transparency and accountability to shareholders and the general public. Lastly, it enhances the company's reputation and credibility in the market.

A. Consequences of Derrimon Trading Limited being a listed company on the Jamaica Stock Exchange:

B. Reasons that could have motivated Derrimon Trading Company to list on the exchange:

It's important to note that these are hypothetical reasons and the actual motivations for Derrimon Trading Limited's listing may vary based on their specific circumstances and strategic objectives.

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The supremum of the set A does not exist (it is negative infinity), and the infimum of the set A is 1.

To define the supremum and infimum of the set A, we first need to determine the properties of the set.

The set A is defined as A = {(x-3)/(x-2) ∈ R : x < 0}.

To find the supremum (also known as the least upper bound) of A, we need to find the smallest value that is greater than or equal to all the elements of A. In other words, we are looking for the least upper bound of the set A.

Let's analyze the elements of A:

For x < 0, the expression (x-3)/(x-2) can take on different values depending on the value of x. We need to find the maximum value that this expression can reach for all x < 0.

As x approaches 0 from the left side, (x-3)/(x-2) approaches negative infinity. Therefore, there is no finite supremum for the set A.

Next, let's find the infimum (also known as the greatest lower bound) of A. We need to find the largest value that is less than or equal to all the elements of A. In other words, we are looking for the greatest lower bound of the set A.

Again, analyzing the elements of A:

As x approaches negative infinity, (x-3)/(x-2) approaches 1. Therefore, the infimum of the set A is 1.

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Answer:

2.99 and for the 2nd answer 12.92 (if a am pretty sure)

Step-by-step explanation:

4.97+1.97= 6.94

The total of the salad and root beer subtracted by the total is 5.98

To know what was each kid's meal we need to divided 5.98 divided 2 =2.99

The combination of  number of ways of groups of 3 customers are  19600 .

What is permutation and combination?

The number of store customer is N = 50

The number of customer that receive a special gift is r = 3

The expression for the number of possible ways to choose 3 customers is

                   = ⁿCr

                   = ⁵⁰C₃

                    = 50 * 49 * 48/3 * 2 * 1

                    = 19600

Thus, the number of ways of groups of 3 customers are  19600.

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Answer:

So it would take Yolanda 9 hours to drive 495 miles at the same rate.

Step-by-step explanation:

To solve this problem, we can use the formula: distance = rate x time.

We know that Yolanda's rate of driving is 605 miles in 11 hours, so we can find her average speed by dividing the distance by the time:

rate = distance / time

rate = 605 miles / 11 hours = 55 miles per hour

Now that we know Yolanda's average speed, we can use it to find the time it would take her to drive 495 miles at that rate:

time = distance / rate

time = 495 miles / 55 miles per hour = 9 hours

Answer:

Step-by-step explanation:

Explanation:

We're given that time = 15

From this, we see that time < 12 evaluates to false, because 15 is not smaller than 12. Put another way, 15 < 12 is false.

But time < 18 is true since 15 < 18 is true. So we execute the second block of code and have the greeting variable be set to the string "good afternoon". This is what's displayed to the console without any quotes of course.

Step-by-step explanation:

(a+b)² = (a+b) × (a+b)

= a(a+b) × b(a+b)

= a² +ab + ba + b²

= a² + b² + 2ab

103² = (100 + 3)²

= 100² + 3² + (2×100×3)

= 10000 + 9 + 600

= 10609

Answer:

4:2

Step-by-step explanation:

edge2020

Answer:

22/9

Step-by-step explanation: