Your credit card has a credit limit of $1,000. Your credit card company reviews your credit line every 6 months. They will not increase your credit line more than 10% each 6-month period. Assuming they increase your limit each 6-month period by 10%, how long will it take to increase your limit to $1,600?

a) 0. 5 years

b) 1 year

c) 2. 5 years

d) 10 years

Answers

Answer 1

Answer:

C

Explanation:

We can solve this problem by using exponential growth. If the credit line increases by 10% every 6 months, then the credit line after n periods can be calculated as:

Credit line after n periods = $1,000 x 1.1^nWe want to find how many periods (n) it will take for the credit line to reach $1,600. So we can set up the equation:

$1,600 = $1,000 x 1.1^nDividing both sides by $1,000, we get:

1.6 = 1.1^nTaking the logarithm of both sides, we get:

log(1.6) = n x log(1.1)

n = log(1.6) / log(1.1)

n ≈ 5Therefore, it will take approximately 5 periods of 6 months each, or 2.5 years, for the credit line to increase to $1,600.

The answer is (c) 2.5 years.


Related Questions

The concept of gravity was discovered by which famous physicist?​

Answers

Answer: Isaac Newton

Explanation:

The answer is Isaac newton

Nathan has $700 to deposit into two different savings accounts. • Nathan deposits $350 into Account I, which earns 5% simple interest. • Nathan deposits $350 into Account Il, which earns 5% interest compounded annually. o Which account earns more interest at the end of 4 years?

Answers

Not that at the end of 4 years, Account II earns more interest, with a total of $182.88 compared to $70 earned by Account I.

What is the explanation for the above response?

To compare the two accounts, we need to calculate the interest earned by each account after 4 years:

• Account I:

Simple Interest = Principal * Rate * Time

= $350 * 0.05 * 4

= $70

• Account II:

Compound Interest = Principal * (1 + Rate/ n)^(n * Time) - Principal

= $350 * (1 + 0.05 / 1)^(1 * 4) - $350

= $182.88

So, at the end of 4 years, Account II earns more interest, with a total of $182.88 compared to $70 earned by Account I. This is because compounding the interest annually allows for interest to be earned on the interest previously earned, resulting in a higher overall return.

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Prompt: Should there be an age limit on when students can get cell phones?

*Please help me asap have to turn this in two days. FREE 30 POINTS. Thanks.

Answers

Answer: The topic of whether or not it is appropriate for children to have access to cell phones has elicited a great deal of controversy over a prolonged period. One perspective is that parents contend that providing their offspring with cellular phones is imperative for both emergency situations and intercommunication purposes. Conversely, scholars contend that mobile phones can serve as a hindrance and impede the progress of a juvenile's growth. The current essay will comprehensively examine the divergent arguments encompassing whether adolescents ought to possess cellular phones and consequently provide an individual viewpoint on the matter.

One of the foremost rationales behind the parental decision to bestow cell phones upon their offspring is safety concerns. In cases of emergency situations, children possess the capability to swiftly summon aid or get in touch with a guardian for support. Furthermore, cellular devices can be utilized by parental figures as a means of monitoring the geographic whereabouts of their offspring to guarantee optimal safety. In situations where parents experience prolonged work hours or a demanding schedule, mobile devices can serve as a practical means of maintaining constant engagement with their offspring and engaging in frequent discussions regarding routine affairs.

Nevertheless, there exist apprehensions regarding the detrimental effects that mobile devices may impose on a child's growth and progress. Excess utilization of digital devices has been associated with a decline in attention span and suboptimal academic achievement. Moreover, the utilization of social media platforms and texting has the potential to divert one's attention from crucial obligations such as academic assignments, while also potentially contributing to negative repercussions such as virtual harassment and social estrangement. Moreover, the incessant activation of cellular devices has the potential to impede a child's capacity for repose and sufficient slumber.

The determinative factor on whether or not a child should possess a cell phone is significantly contingent upon their developmental age and aptitude for personal responsibility, as expressed by the author's perspective. It is plausible that younger children might lack the cognitive development and self-regulatory ability necessary to effectively navigate the various disturbances and risks inherent in owning a cellular device. As a child matures and gains autonomy, a mobile device can serve as a valuable instrument for sustaining communication with both loved ones and acquaintances. It is crucial for parents to exercise vigilance towards the mobile phone usage of their offspring and establish suitable restrictions, such as curbing screen duration and regulating accessibility to particular mobile applications and web portals.

Therefore, it is imperative to engage in thoughtful evaluation when determining whether or not to provide a child with a cellular device. This decision is multifaceted and necessitates in-depth examination. Despite the undoubted advantages of possessing a mobile device, there exist plausible adverse consequences that necessitate careful consideration. Ultimately, the responsibility of assessing the advantages and disadvantages and arriving at an informed determination, contingent on their offspring's stage of growth, level of maturity, and unique requisites, lies with parents.

Explanation:

A total of 95 people from a random sample of 215 workers from Company A admitted to using sick leave when they weren’t really ill. And 77 employees from a random sample of 168 workers from Company B admitted that they had used sick leave when they weren’t ill.

Interpret the 98% confidence interval for the difference in the proportions of workers at the two companies who would admit to using sick leave when they weren’t ill?

Answers

Let's say the confidence interval is (0.068, 0.189). This means that we are 98% confident that the true difference in proportions of workers from the two companies who would admit to using sick leave when they weren't ill lies between 0.068 and 0.189.

Explanation:

Type the correct answer in the box. Use humerals instead o
There are 12 boys and 12 girls participating in a quiz competition. Find the probability that a boy will win this competition and write it as a fraction.
The probability of a boy winning the quiz competition is

Answers

Answer:

1/2

Explanation:

probability : Number of required outcomes / total number of outcomes

Number of required outcomes = 12 ( no of boys )

total Number of outcomes = 12+12 ( no of boys + no of girls )

therefore ; probability = 12/24 = 1/2

Your advisor can assist you with contacting other college staff or faculty in a professional manner.

O True
O False

Answers

The statement your advisor can assist you with contacting other college staff or faculty in a professional manner is : True.

Can your advisor can assist you?

This statement means that if you need to get in touch with someone else at your college, your advisor can help you do so in a professional way. This could involve introducing you to the appropriate staff or faculty member, providing you with their contact information, or helping you craft a professional email or message to reach out to them.

They can help you navigate the communication channels and ensure that your message is clear and appropriate for the intended audience.

Therefore the statement is true.

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known as spoon nail and often an indication of iron-deficiency anemia

Answers

Koilonychia, known as spoon nail is often an indication of iron-deficiency anemia

Koilonychia are a specific nail abnormality characterized by thin, concave nails that curve inward, resembling a spoon. This condition is often an indication of iron-deficiency anemia, a common type of anemia resulting from a lack of iron in the body.

Iron is a vital element for producing hemoglobin, a protein in red blood cells responsible for transporting oxygen throughout the body. When the body doesn't have enough iron to produce sufficient hemoglobin, it leads to an inadequate supply of oxygen to the tissues, resulting in fatigue, weakness, and shortness of breath.

Spoon nails can be considered a physical symptom of iron-deficiency anemia, as the body prioritizes iron usage for vital functions rather than non-essential functions like nail growth. This leads to the formation of weak, concave nails. Other symptoms of iron-deficiency anemia may include pale skin, cold hands and feet, dizziness, and headaches.

If you suspect that you have iron-deficiency anemia or are experiencing spoon nails, it is essential to consult with a healthcare professional for a proper diagnosis. They may recommend a blood test to determine iron levels and suggest treatments, such as iron supplements, dietary changes, or further investigation into underlying causes.

In summary, spoon nails, or koilonychia, are often an indication of iron-deficiency anemia, which results from a lack of iron in the body. This condition may lead to inadequate oxygen supply to tissues, causing various symptoms and negatively impacting overall health.

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Solve inequailty c-2.5_<2.5

Answers

Answer: c ≤ 5

Explanation: The addition of 2.5 to both sides of the inequality results in the following expression:

The mathematical inequality of "c - 2.5 + 2.5 ≤ 2.5 + 2.5" can be expressed in an academic manner as follows: The given inequality implies that the value of "c" subtracted by 2.5 and then added by 2.5 should be less than or equal to the sum of 2.5 and 2.5.

By simplifying both the left and right side, we obtain:

The variable "c" has an upper bound of 5.

Answer:

To solve the inequality c-2.5 ≤ 2.5, we need to isolate c on one side of the inequality symbol.

c - 2.5 ≤ 2.5

c - 2.5 + 2.5 ≤ 2.5 + 2.5 (Adding 2.5 to both sides)

c ≤ 5

Therefore, the solution to the inequality is c ≤ 5

How can technology interfere with good study habits? Students can use technology to search for answers to challenging questions. Computers have different tools that can be used for studying. Technology can pull students’ focus away from their tasks. Students can use tablets as calculators to make math assignments easier.

Answers

Although technology can be beneficial for studying, it can also interfere with good study habits in several ways.

Firstly, technology can pull students' focus away from their tasks by providing constant distractions such as social media, online games, and other non-academic websites. Students may find themselves checking their phones, scrolling through social media, or playing online games instead of focusing on their studies.

Secondly, technology can create a false sense of security by allowing students to search for answers to challenging questions quickly and easily. This can make students rely too heavily on technology instead of developing their critical thinking and problem-solving skills.

Thirdly, students may become overly reliant on calculators and other tools provided by technology, leading to a lack of understanding and mastery of fundamental concepts.

In summary, while technology can be an excellent tool for studying, it is essential to use it wisely and balance its benefits with potential drawbacks. Students should be mindful of their technology use and develop good study habits that prioritize focus, critical thinking, and mastery of fundamental concepts.

a small bullet is fired into a large piece of wood. after the bullet penetrates the wood, the assembly moves as one unit along a low-friction track in the direction of travel of the bullet.

Answers

When a small bullet is fired into a large piece of wood, the bullet's kinetic energy is transferred to the wood, causing it to move. This movement occurs due to the conservation of momentum principle, which states that the total momentum of a system remains constant unless an external force acts on it.

Initially, the bullet has momentum in one direction, and the wood has no momentum. When the bullet hits the wood, it transfers its momentum to the wood, causing the wood to start moving in the same direction as the bullet. The bullet's momentum decreases as it slows down due to the force of friction between it and the wood.

The wood and the bullet then move together as one unit along the low-friction track. This happens because there is no external force acting on the system to change its momentum. The low-friction track reduces the effects of friction and air resistance, allowing the wood and bullet to maintain their velocity for a longer period.

The final velocity of the wood and the bullet depends on the mass of the wood, the mass and velocity of the bullet, and the amount of energy transferred during the impact. The wood will continue to move until it encounters a force that is strong enough to stop it.

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Using the Fe [26] game to model nuclear fusion in a star
You will now model nuclear fusion in a low and a high mass star with the Fe [26] game.
Think about the method you want to use to represent gravity in low mass stars. Note: Nuclear fusion is a random process, which means that you need to move your fingers “randomly” too. Hint: don’t look at the screen while you play!
Play the game! Write down your observations in the first column below.
Repeat, this time to simulate gravity pushing light elements together in a high mass star. Write down your observations in the second column below.

Answers

Observations for low mass star:

I will represent gravity in the low mass star by slowly moving my hand towards the Fe [26] nucleus, gradually increasing the force of attraction.

During the game, it was difficult to get the lighter nuclei to stick together and form heavier nuclei. It required a lot of patience and precise movements.

Eventually, I was able to create some heavier nuclei, but it was a slow and inefficient process.

How r explain the information

It seemed that the fusion reactions were occurring at a slower rate due to the weaker gravitational pull in the low mass star.

Observations for high mass star:

To simulate gravity pushing light elements together in a high mass star, I will move my fingers more rapidly towards the Fe [26] nucleus, increasing the force of attraction quickly.

Fusion reactions were occurring much more rapidly in the high mass star than in the low mass star.

It was easier to get lighter nuclei to stick together and form heavier nuclei in the high mass star, as the stronger gravitational pull allowed for more efficient fusion.

The game was more challenging, as the rapid movement required to simulate the strong gravity made it difficult to control and aim the nuclei accurately.

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which section of the nephron performs most of the glucose and water reabsorption?

Answers

Answer:

The proximal convoluted tubule (PCT) of the nephron is the section that performs most of the glucose and water reabsorption in the kidney. The PCT is located in the renal cortex and is the first part of the renal tubule that receives filtrate from the glomerulus. As the filtrate passes through the PCT, it undergoes reabsorption of most of the glucose, amino acids, and bicarbonate ions, as well as about 65% of the filtered water. The reabsorption of these substances is essential for maintaining the body's fluid balance and electrolyte concentrations, and is accomplished through the action of transporters in the cell membranes of the PCT epithelial cells.

Sally wants a new computer, but she must decide between a laptop and a desktop model. One good thing (pro) about the laptop is that it easily moved from place to place. A bad thing (con) about the laptop is that it costs more money. Using this information, what is a possible consequence of Sally getting a desktop model?

Answers

Answer:

The consequences will be that it will have more power, feature, easier to use compare to the laptop which is it's advantage. However it can't be moved from place to place like a laptop. It has more addictive games, you need a good room to place it and required equipment like mouse and Monitor to operate it.

A possible consequence of Sally getting a desktop model is that she will have to stay in one place when using her computer, as it is not as portable as a laptop. Additionally, she may save some money by purchasing the desktop model, but she will not have the same mobility that a laptop offers.
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