The equation for calculating compound interest earned on a sum P for n periods with the interest rate applied in each period being r is given by P(1+r)^n - P

1. The principal P = $1000, interest rate per month is 6/12 = 0.5% and the number of periods is 2*12 = 24

The interest earned is 1000(1 + .005)^24 - 1000 = $127.15

2. The interest earned is 250(1.01)^5 - 250 = $12.73

3. The interest earned is 4750(1 + 10/200)^20 - 4750 = $7853.16

**The interest earned in the three cases is $127.15, $12.73 and $7853.16**

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