Problem

Depreciation Chao bought a boat for $\mathrm{HK} \$ 160000$ The value of the boat depreciates by $4 \%$ each year. (a) Work out the value of the boat at the end of 3 years. Give your answer correct to the nearest HKS.

Solution

Step 1 :Calculate the final value of the boat using the formula: \(Final Value = Initial Value * (1 - Depreciation Rate)^{Number of Years}\)

Step 2 :Plug in the values: \(Final Value = 160000 * (1 - 0.04)^3\)

Step 3 :Calculate the final value: \(Final Value = 160000 * (0.96)^3\)

Step 4 :Find the final value: \(Final Value = 141557.76\)

Step 5 :Round the final value to the nearest HKS: \(\boxed{141558}\)

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Source: https://solvelyapp.com/problems/36544/

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