Answer
$3.85\ yrs$
Work Step by Step
1 Use the formula $A=P(1+\frac{r}{m})^{mt}$,
2. Based on the given conditions:
$2P=P(1+\frac{0.18}{365})^{365t}$,
3. Solve for $t$, take $ln$ on both sides:
$365t\ ln(1+\frac{0.18}{365})=ln(2)$,
$t=\frac{ln2}{365ln(1+\frac{0.18}{365})}\approx3.85\ yrs$