Answer:
Sure, I'd be happy to help you with that!
To calculate Dan's earnings with simple interest, we can use the following formula:
 I = P * r * t
where:
 I = interest earned
 P = principal amount (initial investment)
 r = interest rate (as a decimal)
 t = time period (in years)
We know that Dan invests £2500 and receives 5% simple interest per year, so:
 P = £2500
 r = 0.05
 t = 2 years
Plugging these values into the formula, we get:
 I = £2500 * 0.05 * 2
 I = £250
This means that Dan will earn £250 in interest over the 2-year period.
To calculate Dan's total earnings, we simply add the interest earned to the initial investment:
 Total earnings = £2500 + £250
 Total earnings = £2750
Therefore, Dan will have £2750 in his bank account after 2 years.