SOLUTION: Sorry but I cant get it right (and Im weak in math) I have a loan for 21200 and I have to pay 400$ monthly for 6 years. total of 28800 so the question is how much percent / value

Algebra ->  Percentages: Solvers, Trainers, Word Problems and pie charts -> SOLUTION: Sorry but I cant get it right (and Im weak in math) I have a loan for 21200 and I have to pay 400$ monthly for 6 years. total of 28800 so the question is how much percent / value      Log On


   



Question 762942: Sorry but I cant get it right (and Im weak in math)
I have a loan for 21200 and I have to pay 400$ monthly for 6 years. total of 28800
so the question is how much percent / value interest I am paying back?
Thanks and regards

Found 3 solutions by jim_thompson5910, MathLover1, MathTherapy:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Difference: 28800 - 21200 = 7600


You must pay back $7,600 in interest (on top of the $21,200 principal)


Now divide by the original principal: 7600/21200 = 0.35849056603773 = 35.849% = 35.85%


This means that your loan has an effective interest rate of 35.85% (simple example: person A loans person B $100. Person B would then pay back person A $100 plus $35.85 in interest)

Edit: the other poster has a better solution since I forgot to factor in the fact that this was done over 6 years (not 1)

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
28800-21200=7600....total interest payed for 6 years and it is x% of 21200
x%2F100%2A21200=7600
x%2A212=7600
x=7600%2F212
x=35.85% for 6 years
so, x%2F6=35.85+%2F6% for 1 year => 5.975% ; so, each year you payed 5.975% interest for 21200 loan

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
Sorry but I cant get it right (and Im weak in math)
I have a loan for 21200 and I have to pay 400$ monthly for 6 years. total of 28800
so the question is how much percent / value interest I am paying back?
Thanks and regards

SI+=+PTR
SI, or simple interest = 28,800 - 21,200, or $7,600
P = $21,200
T = 6 (in years)
R = annual interest rate

We then get: 7600+=+21200%286%29%28R%29 ----- 7600+=+127200R ------ R+=+7600%2F127200

R, or annual interest rate = 0.059748428, or 0.0597, or highlight_green%285.97%29%

You can do the check!!

Further help is available, online or in-person, for a fee, obviously. Send comments, “thank-yous,” and inquiries to “D” at MathMadEzy@aol.com