The correct option will be : 14 years
Explanation
Current account balance of Susan is $1,336.60 and her initial deposit was $820
So, the amount of interest earned [tex] = 1336.60-820= 516.60 [/tex] dollar
Formula for Simple Interest is: [tex] I= P*r*t [/tex], where [tex] I [/tex] is the amount of interest, [tex] P [/tex] is the initial amount, [tex] r [/tex] is the rate of interest in decimal and [tex] t [/tex] is the time duration in years.
Here, [tex] I= 516.60, P= 820, r=4.5 [/tex]% [tex] = 0.045 [/tex]
Now according to the above formula, we will get...
[tex] I= P*r*t\\\\ 516.60=820*0.045*t\\\\ 516.60=36.90*t\\\\ t=\frac{516.60}{36.90}= 14 [/tex]
So, Susan has held the account for 14 years.