Final answer:
To find the interest rate per annum with compound interest, use the formula: Interest = Principal × (1 + rate)^time - Principal. Plugging in the given values, the interest rate is approximately 7.14% per annum (rounded to 3 significant figures).
Step-by-step explanation:
To find the interest rate per annum, we can use the formula for compound interest:
Interest = Principal × (1 + rate)^time - Principal
Plugging in the given values:
- Principal = #5,600
- Interest = #1,250
- Time = 3 years
- Let the interest rate be 'r'
So, the equation becomes:
#1,250 = #5,600 × (1 + r)^3 - #5,600