Dave must buy a practical and reliable family vehicle. He decides to purchase a

Question

Dave must buy a practical and reliable family vehicle. He decides to purchase a small family sedan for $20000 (after taxes), knowing that it will depreciate 18% each year. Mark, one of dave's coworkers decides to purchase a classic muscle car for $13000 (after taxes)/ he knows that it will appreciate 6% each year. If dave buys his car 5 days later, when will the cars be worth the same amount of money.
B) repeat 'A' but if mark buys his car 2 days before dave does.

I know how to do logs and how to solve, i just need the setup. So thats all i want and explain why it would be so and so to the power of x+2 or x-2, etc.

Explanation / Answer

13000+13000*0.06*(x+2)/365 = 20000-20000*.18*x/365 This is for part B. Mark has bought his car 2 days before dave. Therefore, he has a 2 day lead on the appreciation of his car. When dave has owned his car for x days, mark has owned his car for (x+2) days. That way, mark has had more appreciations on his car while dave's car has had a shorter time of depreciation.

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