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Repeated percentages Example: Due to inflation, prices increase by 5% per year. An item costs £12 now. What will it cost in 2 years time? After 1 year.

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Presentation on theme: "Repeated percentages Example: Due to inflation, prices increase by 5% per year. An item costs £12 now. What will it cost in 2 years time? After 1 year."— Presentation transcript:

1 Repeated percentages Example: Due to inflation, prices increase by 5% per year. An item costs £12 now. What will it cost in 2 years time? After 1 year = 12 x 1.05 = £12.60 After 2 years = x 1.05 = £13.23 % Repeated: 12 x 1.05 x 1.05 = 12 x (1.05)²

2 Each year a car loses its value by 12% at the
beginning of the year. A brand new Ford Fiesta costs £7549. Find its value after 3 years. 100% - 12% = 88% After 1 year = £7549 x 0.88 = £ After 2 years = £ x 0.88 = £ After 3 years = £ x 0.88 = £ OR £7549 x (0.88)³ = £


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