Respuesta :
The pertinent formula is i = p*r*t. Here, i = $6,300, r = 0.07 and t = 5 yrs.
We want to solve this for the principal, p. Since i = p*r*t, p = i / (rt). In this case, the principal was:
p = $6,300 / [0.07*5] = $6,300 / 0.35 = $18,000
The original loan amount was $18000
What is formula of simple interest ?
Let, P be the principal, rate = R% per annum and time be T.
Then, Simple interest (I) = (P×R×T)/100
From here, we can write that,
P = (I×100)/(R×T)
What is the required amount ?
Given that, Emraine's fathers final interest (I) = $6300
He completely repay the money in 60 month = 60/12 years = 5 years
So, T = 5 years
Here, Rate of interest (R) = 7% per annum
So, P = (I×100)/(R×T)
⇒ P = (6300×100)/(7×5)
⇒ P = (900×20)
⇒ P = 18000
So, Principal = $18000
Therefore, Original loan amount is $18000
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