Michael borrowed 16000 from a finance company at 10% per annum, compounded half-yearly. What Amount of money will discharge his debt after 3/2 years?
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Answer:
2522
Step-by-step explanation:
P = 16000 , R = 10% , T = 3/2 Years
For half Year
R = R / 2 = 10 / 2 = 5 %
T = 3 half year
A = P × ( 1 + R / 100 ) ^ T
A = 16000 × ( 1 + 5 / 100 ) ^ 3
A = 16000 × ( 105 / 100 ) ^ 3
A = 16000 × ( 21 / 20 ) ^ 3
A = 16000 × 21 / 20 × 21 / 20 × 21 / 20
A = 2 × 21 × 21 × 21
A = 42 × 441
A = 18522
C.I. = A - P
C.I. = 18522 - 16000
C.I. = 2522
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