Long Divison and the rule of 78

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In summary, the conversation is about finding the value of u using the given formula and values for f, k, and n. The attempt at a solution involves multiplying and dividing, but the poster is struggling to understand why the answer is 0.015015015 instead of 0.0666. The expert summarizer notes that the error may be due to dividing 1332 by 20 instead of 20 by 1332.
  • #1
Menomena
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Homework Statement


u = f k(k + 1)/ n(n +1) f= 700, k =4, n=36


Homework Equations


u = 700 x 4(4 + 1)/36(36 + 1)


The Attempt at a Solution


700 x 20/1332 ≈ 10.51 I can't figure out how 20/1332 = 0.015015015, every time I divide it I get 0.0666, I literally have no clue how that is the answer. I feel so dumb.
 
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  • #2
Menomena said:

Homework Statement


u = f k(k + 1)/ n(n +1) f= 700, k =4, n=36


Homework Equations


u = 700 x 4(4 + 1)/36(36 + 1)


The Attempt at a Solution


700 x 20/1332 ≈ 10.51 I can't figure out how 20/1332 = 0.015015015, every time I divide it I get 0.0666, I literally have no clue how that is the answer. I feel so dumb.
What does this have to do with long division or the rule of 78?

Are you actually doing long division?

What is so difficult about calculating 20/1332? It looks to me like you might be dividing 1332 by 20 (and getting the decimal places wrong) rather than dividing 20 by 1332.
 

FAQ: Long Divison and the rule of 78

What is long division?

Long division is a method of dividing two numbers. It involves dividing the dividend (the number being divided) by the divisor (the number that is dividing) and finding the quotient (the answer) and remainder (any leftover amount).

Why is long division useful?

Long division is useful for solving division problems that cannot be solved mentally or with simpler methods such as multiplication or subtraction. It is also useful for solving more complex mathematical problems and for building a strong understanding of division concepts.

What is the rule of 78?

The rule of 78 is a method for calculating the interest paid on a loan. It is based on the idea that the interest paid on a loan is higher in the early months and decreases as the loan is paid off. This rule is often used for loans with fixed payment amounts and fixed interest rates.

How is the rule of 78 used in financial calculations?

The rule of 78 is used to determine the amount of interest that has been paid on a loan at any given point in time. This information can be useful for comparing different loan options and for understanding the total cost of a loan.

Are there any drawbacks to using the rule of 78?

One potential drawback of using the rule of 78 is that it can result in higher interest charges for borrowers, as the interest paid is front-loaded. Additionally, it may not accurately reflect the actual amount of interest paid over the life of a loan, especially if the loan is paid off early. As such, it is important to carefully consider all factors before using the rule of 78 in financial calculations.

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