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.