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Option C - 14 years                                                  

Step-by-step explanation:

Given : Amount invested = $12,500 , growth rate = 5.25% , Amount fund = $25,000

Using formula :

Where,

P = principal amount = 12,500

r = annual rate of interest = 5.25%= 5.25/100=0.0525

t = number of years the amount is deposited or borrowed for, in this case we don't know it

A = amount of money accumulated = $25,000

Putting values in the formula we get,

Taking log both side,

By property of logarithm

Approx t=14 years

Therefore, Option C is correct.