what is the answer to this. when the original price of a car is 25,000 and it depreciates by 8% each year, what is the price after the 6th y

After 1 year the price is (1-0.08)*25000 = 0.92*25000.

After 2 years the price is (1-0.08)*0.92*25000 = 0.92²*25000

After 3 years the price is (1-0.08)*0.92²*25000 = 0.92³*25000

etc. until

After 6 years the price is (1-0.08)*0.92⁵*25000 = 0.92⁶*25000

$${{\mathtt{0.92}}}^{{\mathtt{6}}}{\mathtt{\,\times\,}}{\mathtt{25\,000}} = {\mathtt{15\,158.875\: \!033\: \!6}}$$