Asked by Anonymous
At what rate will 1400 naira
yield naira 900 in 3yrs 9 months
yield naira 900 in 3yrs 9 months
Answers
Answered by
mathhelper
Depends what type of interest you want:
simple interest (usually not used for times greater than one year) :
I = PRT
900 = (1400)(R)(15/4)
3600 = 21000R
R = .1714.. , so appr 17.1% per annum
compound interest:
i = ?
n = 45 , (3 years and 9 months = 45 months)
2300 = 1400(1+i)^45
1.64285... = (1+i)^45
take 45th root
1.011093 = 1+i
i = .011093 per month
12i = .13312
The rate is 13.3% per annum compounded monthly
simple interest (usually not used for times greater than one year) :
I = PRT
900 = (1400)(R)(15/4)
3600 = 21000R
R = .1714.. , so appr 17.1% per annum
compound interest:
i = ?
n = 45 , (3 years and 9 months = 45 months)
2300 = 1400(1+i)^45
1.64285... = (1+i)^45
take 45th root
1.011093 = 1+i
i = .011093 per month
12i = .13312
The rate is 13.3% per annum compounded monthly
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