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  • Brainly User
2015-09-16T20:34:03+08:00

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A = P (1+ \frac{r}{n} ) ^{(n)(t)}

Where given are:
A = total amount of investment with interest = 110 255.09
P = Principal amount = Unknown
r = rate of compound interest = 0.12
t = number of years = 3
n = number of times interest in compounded annually = 2 (semi-annually)

110,255.09 = P (1 +  \frac{0.12}{2} ) ^{(2)(3)}

110,255.09 = P (1.06) ^{6}

110, 255.09 = P (1.4185)
   (1.4185)          (1.4185)

P = 77,726.54   money originally invested
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