The number of years it will take for the account to be worth $15,000 according to the task content is; 29.164 years.
It follows from the task content that the interest is compounded annually and hence, we have;
15000 = 10000(1.014)^x
1.5 = (1.014)^x
log (1.5) = x log(1.014)
x = log (1.5)/log(1.014)
x = 29.164 years.
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