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2i(1-i)^2

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2i*(1-i)^2 = 2i*(1-2i-1) = 2i*(-2i) = 4

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Interest rates

Interest rates

Interest rates are a fact of life that you will encounter both professionally and personally. One area of interest rates that you may be most concerned about are those applied to credit card debt. Let’s say that you had $2400 on a particular credit card that charges an annual percentage rate (APR) of 21% and requires that you pay a minimum of 2% per month. Could you determine the minimum monthly payment? The minimum monthly payment would simply be 2% times the balance as shown: 2% x $2400.00 = 0.02 x $2400.00 = $48.00 So, your monthly minimum payment would be $48.00. Do you know how much of this is being applied to the principle and how much is going to interest? To determine this, you would need to know the simple interest formula. I = Prt In this formula, I = interest, P = is the principle (balance), r = is the annual percentage rate, and t is the time frame. To determine the interest per month on a balance of $2400 with an APR of 21%, you would let P = $2400, r = .21, and t = 1/12 (1 month is 1/12 of a year). The interest paid each month would then be: I = Prt = ($2400)(.21)(1/12) = $42.00 So, you are paying $42.00 per month towards interest. With a minimum payment of $48.00, that means you are paying $6.00 per month towards the balance ($48.00 - $42.00 = $6.00). No wonder it takes so long to pay off a credit card! Research interest rates and consumer debt using the Argosy University online library resources and the Internet. Based on the articles and your independent research, respond to the following: How is consumer debt different today than in the past? What role do interest rates play in mounting consumer debt? What are the typical interest rates applied to credit cards, mortgages, and other debt? Many of today’s interest rates are variable rather than fixed. What difference does this make to pension plans, housing loans, and other personal finances? Write your response in 1–2 paragraphs (a total of 200-300 words).

Population Growth

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Fair SharesThe Center City Anuraphilic (frog lovers) society has fallen on hard times. Abraham, Bobby and Charlene are the only remaining members and each feels equally entitled to take possession of the society’s collection of live rare tropical frogs. The decision is made to use the method of sealed bids and fair shares to decide who will take possession of the entire collection and how much will be paid in compensation to the other members. Abraham unseals his estimate of the value of the collection at $12,000.00. Bobby’s estimate of the value of the collection is $6,000.00. Charlene values the collection at $9,000.00. Who receives the collection of frogs? What is each person’s fair share of the monetary value of the collection? Why is the monetary amount of each fair share different? How much money is owed to each of the two people who do not “win” the collection of frogs? In your opinion how “Fair” is the process described above? Now pretending for a moment that you like frogs, we will insert you into the situation under special circumstances. Despite (or perhaps because of) your love of all things amphibious, you currently lack the funds to pay each of the others their probable fair share. You will not receive the collection, but wish to receive as much money as possible. You have no knowledge of the amounts in each of the sealed bids, but strongly suspect that Abraham will bid between $10,000.00 and $12,000.00. Given that you cannot afford to “win” the process, describe how you will go about deciding what to put down for your own estimate of the value of the collection.

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