Answer:
The money was left untouched for 2 years and 6 months or just 2.5 years
Step-by-step explanation:
In this question, we are asked to calculate the time taken for an amount deposited to earn a certain amount of interest.
Mathematically, simple interest can be calculated using the formula;
I = PRT/100
where I is the interest accrued which is 3696.88 - 3,500 = 196.88
P is the principal which is the amount deposited = 3,500 according to the question
R is the rate which is 2.25% according to the question
T is the time which we are to find
we can rearrange the formula making T the subject and we obtain the following;
T = 100I/PR
substituting the values listed above we have;
T = (100 * 196.88)/(3500 * 2.25)
T = 19688/7875
T = 2.5 years or 2 years 6 months