Answer:
a) Pr⁵ = £1480.50
Pr⁶ = £1524.50
ln P + 5 ln r = ln 1480.50
ln P + 6 ln r = ln 1524.60
6 ln P + 30 ln r = 6 ln 1480.50
5 ln P + 30 ln r = 5 ln 1524.60
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ln P = 7.1534
P = e^7.1534 = £1278.41
b) r = £1524.50/£1480.50 = 1.0297
So the annual interest rate is about
3.0%.