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interest calculation example 8

problem:

Frank dediced to buy a new bike with loan.

The interest rate is 9%, the loan $ 7 600,- the interest € 399,-

What is the time (months)?

answer:

1. step: given/wanted
 
capital: $ 7 600,-
 
interest: $ 399,-
 
interest rate: 9% 
 
wanted: time (months) ?  
 
 
2. step: calculate
 
i = interest   c = capital    ir = interest rate   d = days
 
i =  c * ir * m       / * 1 200
       1 200
 
i * 1 200  = c * ir * m    / : (c * ir)
 
m = i * 1 200
        (c + ir)
      
m = 399 * 1 200
        (7 600 * 9)
 
m = 7 months
 
 
3. step: answer
 
He has to pay back the loan within 7 months.