jenna borrows $8000 for college at a yearly simple interest rate of 6%. she takes 15 years to pay off the loan and interest. how much interest does she pay?

Answer:

Y=5X because the slope is 5 and the Y-intercept is 0

Answer:

C

Step-by-step explanation:

The angle between the tangent and the radius at the point of contact = 90°

Then the angle between the radius and the chord = 90° - 65° = 25°

The triangle is isosceles ( 2 congruent radii ) the the 2 base angles are congruent, both 25° , so

x = 180° - (25 + 25)° ← sum of angles in a triangle

x = 180° - 50° = 130° → C

Answer:

C which is 130

Step-by-step explanation:

I usually don't like answering questions like this one. Sometimes as in your case, I'll do it, but you have to cut a bit of slack for me to do it. You have to assume that the nearly vertical arm of the 65 degree angle is a tangent, otherwise the question cannot be done.

All triangles have 180 degrees

25 + 25 + x = 180

50 + x = 180                        Subtract 70 from both sides

x  = 180 - 50

x = 130

Answer: 3.5

Step-by-step explanation:

Answer:

??????????????????????????????????????

Step-by-step explanation:

Answer:

33

Step-by-step explanation:

if she worked three more than twice as many hours as gary worked we can subtract 3 for 48 which leaves 45. she worked twice as many hours as he did and 45 is perfectly devisable by 3 at 15 so she worked 30 hours plus 3 while gary only worked 15 hours. This could be wrong but i dont think it is :)

Suppose that 59% of students in a college have a smart phone. If you select three students at random,  the probability is 19.4%.

the probability that all three have a smart phone can be calculated as follows:

P(all 3 students have a smartphone) = P(1st student has a smartphone) × P(2nd student has a smartphone given that the 1st student has a smartphone) × P(3rd student has a smartphone given that the 1st and 2nd students have smartphones)

Given that 59% of students in a college have a smartphone, the probability that the first student selected at random has a smartphone is also 59%.

After selecting the first student, there are now two students left, one of whom must also have a smartphone. Thus, the probability that the second student selected has a smartphone, given that the first student does have a smartphone, is 58%.Similarly, after selecting two students, there is only one student left, who must have a smartphone.

As a result, the probability that the third student selected has a smartphone, given that the first two students have smartphones, is 57%.

Therefore, P(all 3 students have a smartphone) = 0.59 × 0.58 × 0.57 = 0.194, or approximately 19.4%.

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Answer:

B= (3, 0)

Step-by-step explanation: I had this question before so I know it

Answer:100cm

Step-by-step explanation:

Answer:

100

Step-by-step explanation:

The researcher may need to compromise and choose a smaller sample size with a lower confidence level or adjust other factors of the study accordingly.

When the desired confidence level is 90%, the appropriate formula for determining the sample size is: $n = {z^2(p)(1-p)\over e^2}$ and when the desired confidence level is 98%, the formula becomes $n = {z^2(p)(1-p)\over e^2}$Where, z = the z-score that corresponds to the desired confidence level (1.96 for 95%, 1.645 for 90%, and 2.33 for 98%)p = the estimated proportion of successes in the population (usually unknown, but you can use 0.5 as an estimate if you don't have a better guess) e = the desired margin of error.

Sample size is defined as the total number of participants chosen for a study. It is an essential factor in research to ensure accurate results. The formula for determining the sample size changes with the change in the desired confidence level.In general, when the desired confidence level is high, the sample size should be large enough to reduce the margin of error. However, a larger sample size may not always be feasible due to budget constraints, time limitations, or accessibility issues.

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Kyle can use the equation x = (195 - 65 * 1.5) / 65 to find out approximately how long the second part of the trip will take. To find out the approximate duration of the second part of the trip, Kyle needs to calculate the remaining distance after the first stop and divide it by the average speed his dad plans to drive at.

The equation x = (195 - 65 * 1.5) / 65 represents this calculation.

In this equation, 195 represents the total distance of the trip, 65 represents the average speed in miles per hour, and 1.5 represents the time taken for the first part of the trip.

To calculate the remaining distance, we subtract the distance covered during the first part of the trip (65 * 1.5) from the total distance (195). The result is then divided by the average speed (65) to determine the time it will take for the second part of the trip.

By using this equation, Kyle can estimate how long the second part of the trip will take, given the total distance, the planned speed, and the time spent on the first part of the trip.

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Answer:

I do believe y= -2

Rise over run method

m = (3 - 1) / (0 - (-4)) = 2 / 4 = 2

Answer:

556$

Step-by-step explanation:

$6 x 112 = 672$

1228-672 = 556

Answer:

1/10 th

Step-by-step explanation:

Refer the attached photo.

Answer:

hello 10%

good luck

In the total amount of $261,000 received from contributors, a majority of $240,000 came from four contributors, with each contributing $60,000. The remaining $21,000 was obtained from smaller individual contributions.

This statement describes the breakdown of contributions received from different sources. Out of the total amount of $261,000, the majority, which is $240,000, came from four specific contributors. Each of these contributors donated $60,000, resulting in a combined contribution of $240,000. The remaining $21,000 represents the sum of smaller individual contributions from various sources.

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Answer:

41

Step-by-step explanation:

yellow marbles=5+ 3r(r is the number of red marbles)

red marbles=3r

3r+3r+5=77

6r=77-5

6r=72

r=72/6=12

yellow marbles = 5 + 3r

5+ 12 x 3

5+ 36

=41

Answer:

im not sure , i think c

Step-by-step explanation:

Answer:

D. 6(3 + 4)

Step-by-step explanation:

because 18 + 24 = 42 and 6(3 + 4) = 42 as well

Answer:

19

Step-by-step explanation:

is this a joke?

Option D. \(19.\)

Step-by-step explanation:

\(10 + 9 = 19.\)

The statement you provided mentions two separate events involving different companies lower rates

1. Hertz runs a sale: Hertz, a car rental company, is having a sale. This implies that they are offering in  discounted prices or promotional deals on their rental services.

2. Avis buys new cars and Budget lowers rates: Avis, another car rental company, is purchasing that  new cars to add to their fleet. On the other hand, Budget, yet another car rental   the company, is reducing their rental rates.

These events indicate of independent actions taken by the respective companies and are not directly connected to each other.

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Probability of proportion will be greater than 3.18

Probability of Proportion: Probability represents the chances of some event happening. It is theoretical. Proportion summarizes how frequently some event actually happened

Population Proportion, p=0.52

sample proportion p'=0.45

sample size be n =436

probability of proportion will be greater than 52%

\(p(p' > 0.45)=p(p'-p\sqrt{p(1-p)/n} )\)

\(=-p(z > (0.45-0.52)/\sqrt{0.52((1-0.52)/436}\)

=P(z>-3.18)

probability of proportion will be greater than 3.18

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Answer:

Both of the equations are right because if you take s=4p, then reverse it, p=1/4 of s because 4 of p is equal to s so s/4 = p

Given, edge length of a cube = 24mThen, its surface area (S) = 6x²And its volume (V) = x³Let x be the edge length of the cube and V be its volume.x = 24m = 24 m/min (Since, it decreases at the rate of 5m/min)When x = 3, its rate of decrease will be (-5) m/min

Now, we need to find the rate of change of the surface area of the cube when x = 3.We know, surface area (S) = 6x²On differentiating with respect to time (t), we get dS/dt = 12x dx/dt Since, x = 3 and dx/dt = -5Hence, dS/dt = 12 × 3 × (-5) = -180The rate of change of the surface area of the cube is -180 m²/min . We also need to find the rate of change of the volume of the cube when x = 3.We know, volume (V) = x³On differentiating with respect to time (t), we get dV/dt = 3x² dx/dtSince, x = 3 and dx/dt = -5Hence, dV/dt = 3 × 3² × (-5) = -135The rate of change of the volume of the cube is -135 m³/min.Answer: When the edge length of a cube decreases at the rate of 5m/min, then its surface area changes at the rate of -180 m²/min and volume changes at the rate of -135 m³/min.

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51025 to 63650 is the range that she would consider for a salary offer in that state.

Given:

A teacher is looking for a job in Connecticut and believes she should be paid in the middle 60% of teachers due to her experience.

μ = 57,337.

σ = 7500.

60% = 6/100 = 0.60.

The range that she would consider for a salary offer in that state.

P(a , x < b) = 0.60.

\(P(\frac{x}{y} < \frac{x}{y} < \frac{x}{y} )= 0.60\)

\(P(\frac{a-\mu}{s.t} < \frac{x-\mu}{s.t} < \frac{b-\mu}{s.t} )= 0.60\)

On comparing this with P(-0.842 < z < 0.842) = 0.60.

We get, \(\frac{a-\mu}{s.t} = -0.842\)   and    \(\frac{b-\mu}{s.t}= 0.842\)

\(a=-0.842\times7500+57.337 = 51024.84\)

\(b= 0.842\times7500+57.337=63649.159\)

Therefore, her range should be 51025 to 63650.

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Incomplete Question.

The average teacher’s salary in Connecticut (ranked first among states) is $57,337. Suppose that the distribution of salaries is normal with a standard deviation of $7500.

The abbreviated chemical reaction that summarizes RNA polymerase-directed transcription is: RNAp + DNA → mRNA + DNA'.

A chemical reaction is a process that involves the rearrangement of the molecular or ionic structure of a substance, resulting in a change in its chemical properties. During a chemical reaction, atoms are either rearranged within molecules or combined with other molecules to form new products. Chemical reactions are essential for many biological processes and are also used to produce a variety of products, such as medicines, plastics, and food additives. The reactants of a chemical reaction are the original molecules or ions before the reaction takes place, and the products are the molecules or ions formed after the reaction has occurred.

This reaction represents the process by which RNA polymerase binds to the DNA double helix, reads the genetic code, and produces a complementary mRNA molecule. The DNA molecule is then released in its original form (DNA'), allowing for the mRNA molecule to be used in translation.

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Answer:

(y + 4)(y + 1)

Step-by-step explanation:

Given

y² + 5y + 4

Consider the factors of the constant term (+ 4) which sum to give the coefficient of the y- term (+ 5)

The factors are + 4 and + 1 , since

4 × 1 = 4 and sum = 4 + 1 = 5 , thus

y² + 5y + 4 = (y + 4)(y + 1) ← as a product of factors

Answer:

x= m/2 - b/6

(its a lot of work...)

Step-by-step explanation:

1. Subtract 2x from both sides

-2x=2x+b/3-2x

2. Simplify

-2x=b/3

3. Factor

x(m-2)=b/3

4. divide both sides by m-2; m≠2

x(m-2)/m-2=b/3/m-2 m≠2

5. Simplify again...

x=b/3(m-2); m≠2

Given that the point (8, 5) is on the terminal side of an angle in standard position. We have to determine the exact values of the six trigonometric functions of the angle.Let's consider the point (8, 5) on the coordinate plane.From the above figure, we can see that the point (8, 5) is located in the first quadrant.

Therefore, the value of sin, cos, and tan will be positive and the value of sec, csc, and cot will also be positive.The length of the hypotenuse of the right-angled triangle formed by the given point with the x and y-axis is given by the distance formula. We have :

$d=\sqrt{{(x_2-x_1)}^2+{(y_2-y_1)}^2}=\sqrt{(8-0)^2+(5-0)^2}=\sqrt{64+25}=\sqrt{89}$

Now, we can determine the exact values of the six trigonometric functions of the angle:

1. sin θ = (opposite side/hypotenuse) = y/d = 5/√89.2. cos θ = (adjacent side/hypotenuse) = x/d = 8/√89.3. tan θ = (opposite side/adjacent side) = y/x = 5/8.4. csc θ = (hypotenuse/opposite side) = d/y = √89/5.5. sec θ = (hypotenuse/adjacent side) = d/x = √89/8.6. cot θ = (adjacent side/opposite side) = x/y = 8/5.Therefore, the exact values of the six trigonometric functions of the angle are: sin θ = 5/√89, cos θ = 8/√89, tan θ = 5/8, csc θ = √89/5, sec θ = √89/8, and cot θ = 8/5.

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The Golden Rule Test suggests that the decision embodies the principles of empathy and fairness, treating others as one would want to be treated. The Publicity Test indicates that the decision has been well received and is aligned with public expectations.

- The Publicity Test is designed to assess whether the decision or action can withstand public scrutiny and be disclosed openly.

- I score this test an 8 because the decision or action in question has already been made public and received positive feedback from various stakeholders.

- The organization has been transparent in its communication, engaging with the public and addressing concerns promptly.

- The decision aligns with the organization's values and mission, which resonates positively with the public.

- The organization has effectively managed any potential negative publicity by proactively addressing criticisms and providing clear justifications for the decision.

- Overall, the Publicity Test indicates that the decision has been well received and is aligned with public expectations.

The Moral Mentor Test Score: 6

- The Moral Mentor Test evaluates the decision or action by considering whether it reflects the guidance of a wise and ethical mentor.

- I score this test a 6 because while the decision is generally ethical, there are some potential ethical dilemmas that need to be carefully addressed.

- The decision has considered the welfare of various stakeholders and adheres to legal and regulatory frameworks.

- However, there might be some moral complexities associated with certain aspects of the decision that need further evaluation.

- It is important for the organization to seek guidance from ethical experts and consider potential long-term consequences to ensure the decision aligns with the principles of a moral mentor.

- Overall, the Moral Mentor Test suggests that the decision is on the right track but requires careful ethical analysis and considerations.

The Admired Observer Test Score: 9

- The Admired Observer Test assesses whether the decision or action would be approved by an admired and objective observer.

- I score this test a 9 because the decision demonstrates a high level of integrity and is likely to be approved by an objective observer.

- The decision is aligned with industry best practices and follows ethical guidelines.

- It takes into account the interests of various stakeholders and aims to maximize positive outcomes for all parties involved.

- The decision is well-reasoned, considering both short-term and long-term implications.

- Overall, the Admired Observer Test indicates that the decision is commendable and likely to be seen as fair and ethical by an objective observer.

The Transparency Test Score: 7

- The Transparency Test evaluates whether the decision-making process is transparent and accountable.

- I score this test a 7 because while the decision-making process has been relatively transparent, there is room for improvement.

- The organization has provided some level of information and rationale behind the decision, but there may be areas where more transparency is required.

- It is essential for the organization to proactively communicate the decision, its underlying factors, and potential impacts to ensure stakeholders have a clear understanding.

- Increasing transparency can help build trust and mitigate any potential misunderstandings or mistrust.

- The Person in the Mirror Test assesses whether the decision or action aligns with the individual's values and principles.

- I score this test an 8 because the decision demonstrates alignment with the individual's values and principles.

- The decision-maker has considered the ethical implications and personal integrity while making the decision.

- The decision reflects a commitment to fairness, honesty, and accountability.

I score this test a 9 because the decision demonstrates a high level of empathy and fairness towards others.

- The decision considers the interests and well-being of various stakeholders, treating them with respect and dignity.

- It reflects a commitment to fairness, equality, and reciprocity in relationships.

- The organization has taken steps to ensure that the decision does not cause harm or disproportionately benefit any specific group.

- Overall, the Golden Rule Test suggests that the decision embodies the principles of empathy and fairness, treating others as one would want to be treated.

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