Question

Use the example above and determine the fraction of total interest owed.


After the fifth month of a 12-month loan:


the numerator is: ((n +


) + (n +


) + (n +


3 =


, and


, and


the denominator is: [(n) + (n + 1) + ... + (n


Therefore, the fraction is numerator/denominator (to the nearest tenth)

Answer 1

Answer:

11

10

9

8

7

50

----------------

11

78

-----------------

64.1

Hope this helps :) -Zach

Step-by-step explanation:

Answer 2

The fraction of total interest owed after the fifth month of a 12-month loan is 64.1%

How to determine the fraction of interest owed?

The given parameters as:

• Numerator:  {(n+11)+(n+10)+(n+9)+(n+8)+(n+7)}
• Denominator: {(n)+(n+1)+...+(n+11)}

The numerator after the fifth month is

Numerator = (1+11)+(1+10)+(1+9)+(1+8)+(1+7)

Numerator = 50

The equation of the denominator is:

Denominator = 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 11 + 12

Denominator = 78

The fraction is calculated using:

Fraction = Numerator/Denominator

Substitute known values

Fraction = 50/78

Express as percentage

Fraction = 64.1%

Hence, the fraction of total interest owed after the fifth month of a 12-month loan is 64.1%

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