Anew car depreciates as soon as you drive it out of the parking lot. a certain car depreciates to half its original value in 4 years. if you bought a car 8 years ago and it is now worth $5000, how much did you pay for the car originally

Original price of car = $20,000

Step-by-step explanation:

Let the original price of the car be 'x' dollars.

Given:

Here, the depreciation of the car is occuring exponentially as the value depreciates to half in every four years.

Worth of car after 8 years = $5000

Value after depreciation in 4 years = Half of original value =

So, value of car after depreciation in another 4 years = Half of the value after 4 years =

Therefore, final depreciated value after 8 years is .

But, as per question, final depreciated value is $5000. Thus,

Therefore, the original price of the car was $20,000.

dc=6 square root of 3 and ac is 12 square root 3

c and d

step-by-step explanation:

square root of 3/2 = 18/c

cross multiply to get 18*2=√3*c

36/√3 * √3/√3 = c

c= 36*√3/3

c=12√3