Let the amount deposited (principal) be x, then the amount after the required time = 2x.
A = P(1 + r/n)^nt: where A is the future value = 2x, P is the principal = x, r is the rate = 0.75%, n is the number of accumulation in a year = 12, t is the number of years.
2x = x(1 + 0.0075/12)^12t
2 = (1 + 0.000625)^12t
log 2 = 12t log (1.000625)
log 2 / log (1.000625) = 12t
1109.38 = 12t
t = 92 years
assuming you mean 
where 
ok, notice a pattern in the exponent
hum, so it goes 1,2,3,4, then repeats
ok, so every 4, the cycle repeats
how far up is 77 from a multipule of 4?
4*19=76
76 is 1 away from 77
so 
the answer is B
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