Answer
$1.83$ years
Work Step by Step
Given $r=0.052,n=365,P=100000,A(t)=P+10000$, we have
$100000+10000=100000(1+\frac{0.052}{365})^{365t}$
Thus $365t=\frac{ln(11/10)}{ln1.000142}$ which gives $t\approx1.83$ years
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