Question

After the fourth month of a 12-month loan: the numerator is: {(n + ) + (n + ) + (n + ) + (n + )} = , and the denominator is: {(n) + (n + 1) + ... + (n + )} = . Therefore, the fraction is numerator/denominator (to the nearest tenth) = %.

Answer 1

85.90%

Explanation:

n = 1 in this problem, because the loan is calculated from the first month itself.

Numerator :

{(n + 11) + (n + 10) + (n + 9) + (n + 8) + (n + 7) + (n + 6) + (n + 5)}

n + n + n + n + n + n + n = 7 (because n = 1)

7 + 11 + 10 + 9 + 8 + 7 + 6 + 5 + 4 = 67 (that's your numerator)

Denominator :

{(n) + (n + 1)... + (n + 11)}

add all of the n's together:

n + n + n + n + n + n + n + n + n + n + n + n = 12

Now you add that to the rest of the numbers:

12 + 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 11 = 78 (that's your denominator)

Percentage : Now for the percentage you just divide the numerator and the denominator and multiply the resultant by 100

`(67)/(78)* 100= 85.90\%`