Hao made a single investment which, after 6 years invested at 10% compounded semiannually, has accumulated to $232,900. How much did Hao invest initially?
A. $232,893
B. $172,583
C. $230,252
D. $129, 679
E. $14,070
The correct answer would be Option D - $129,679
To find out the initial investment made by Hao we will use the formula
A = P (1 + i)n
Where,
A = $ 232,900
Let P or principal amount be X
i = 10 / 2 or 5% as it is compounded semi annually
n = 6 * 2 = 12 since the compunding is semi annually
Therefore using the formula we get
232,900 = X ( 1 + 0.05 )12
$232,900 = 1.796 X
X = $232,900 / 1.796
X = $129,679 (rounded off)
Therefore the amount initially invested = $ 129,679
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