Problem

22 Hamish buys a new car for $\$ 20000$ The car depreciates in value by $19 \%$ each year.
Work out the value of the car at the end of 3 years. Give your answer to the nearest $\$$.

Answer

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Answer

Round the final value to the nearest dollar: \( \boxed{10629} \)

Steps

Step 1 :Calculate the final value using the formula: V = P * (1 - r)^t, where P = 20000, r = 0.19, and t = 3

Step 2 :V = 20000 * (1 - 0.19)^3 = \( 10628.82 \)

Step 3 :Round the final value to the nearest dollar: \( \boxed{10629} \)

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