Answer:
the restaurant will earn $406.25 in interest after 28 months.
Explanation:
The first step is to calculate the annual interest rate. Since the account pays 3.5% simple interest on an annual basis, the annual interest rate is 0.035.
Next, we need to calculate the interest earned for 28 months. Since simple interest is being used, we can use the formula:
I = Prt
where I is the interest earned, P is the principal (the initial deposit), r is the annual interest rate, and t is the time in years.
Converting 28 months to years, we get:
t = 28/12 = 2.3333...
Rounding this to 2 decimal places, we get t ≈ 2.33 years.
Substituting the given values into the formula for simple interest, we get:
I = 50000.0352.33
Simplifying this expression, we get:
I ≈ $406.25
Therefore, the restaurant will earn $406.25 in interest after 28 months.