[tex]A = P (1+ \frac{r}{n} ) ^{(n)(t)} [/tex]
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)
[tex]110,255.09 = P (1 + \frac{0.12}{2} ) ^{(2)(3)} [/tex]
[tex]110,255.09 = P (1.06) ^{6} [/tex]
110, 255.09 = P (1.4185)
(1.4185) (1.4185)
P = 77,726.54 money originally invested