Register
A car that originally cost $20,000 depreciates by 15% each year. In about how many years will the car be worth half its value? Use the equation 10,000 = 20,000(8.5)^x to solve the problem. Round your answer
194k views
1 vote
A car that originally cost $20,000 depreciates by 15% each year. In about how many years will the car be worth half its value? Use the equation 10,000 = 20,000(8.5)^x to solve the problem. Round your answer to the nearest dollar.

User BerggreenDK
by
8.2k points

1 Answer

1 vote
It's

0.5=0.85^x take natural log of both sides...

ln0.5/(ln0.85)=x

x≈4.265 years the car's value will be half of its original value...

y=20000(0.85)^(4.265)

y=$10000.00


User Mavrck
by
7.5k points
← Prev Question Next Question →

No related questions found

Ask a Question
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Other Questions

What is .725 as a fraction
A bathtub is being filled with water. After 3 minutes 4/5 of the tub is full. Assuming the rate is constant, how much longer will it take to fill the tub?
Write words to match the expression. 24- ( 6+3)
A dealer sells a certain type of chair and a table for $40. He also sells the same sort of table and a desk for $83 or a chair and a desk for $77. Find the price of a chair, table, and of a desk.
The cost of 5 similar digital cameras and 3 similar video cameras is 3213. Each video camera costs 4 times as much as each digital camera. John buys a digital camera and a video camera. How much does he
Link Copied!