Answer:
255.81
Step-by-step explanation:
We have the formula to calculate the monthly compound interest as following:

In which:
+) A: Amount of compound interest
+) P: Principle, the initial deposit
+) r: the percentage rate
+) n: the number of month (if monthly: n =12, quarterly => n = 3, etc.)
+) t: number of years
From that we have: P = 5,000; r = 5% = 0.05; n = 12 months and t = 1
So that the compound interest monthly for 1 year of 12 months is:

So that the answer is 255.81