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If Ghs640 amount to Ghs832 in 2 years, what will Ghs860 amount to in 4 years at the same rate of interest per annum?

a) Ghs1100
b) Ghs1650
c) Ghs1060
d) Ghs1384

User Aogan
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1 Answer

5 votes

Final answer:

Using a compounding interest formula, Ghs860 compounded at a 15% annual interest rate over 4 years would amount to approximately Ghs1504.15. However, this answer does not match any of the provided multiple-choice answers, suggesting there might be an issue with the question or answer choices.

Step-by-step explanation:

First, we need to determine the rate of interest per annum using the initial information provided:

Ghs640 becomes Ghs832 in 2 years, which means there is a total interest of Ghs832 - Ghs640 = Ghs192 over 2 years. To find the annual interest rate, we divide the total interest by the principal and the number of years:

Annual Interest Rate = (Interest Earned / Principal) / Number of Years
Annual Interest Rate = (Ghs192 / Ghs640) / 2
Annual Interest Rate = 0.15 or 15%

Now, we'll calculate what Ghs860 will amount to in 4 years at the same rate of interest per annum:

Future Value = Principal × (1 + Rate of Interest)^(Number of Years)
Future Value = Ghs860 × (1 + 0.15)^(4)
Future Value = Ghs860 × (1.15)^(4)
Future Value = Ghs860 × 1.74900625
Future Value = Ghs1504.15

However, since Ghs1504.15 is not one of the multiple-choice answers, we need to recheck our calculations or ensure we have understood the question correctly. In the context of the multiple-choice answers provided, there may have been a misunderstanding or typo in the question or in the options given.

User Nonym
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