For each of the problems below, find the initial value to the nearest dollar.

1. Five years from now, a bond that appreciates at $4\%$ per year will be worth $\$146$.

   Hint (a):

   $(146)=a(1.04)^5$

   Answer (a):

   The initial value was $\$120$.

2. Seventeen years from now, Ms. Speedi’s car, which is depreciating at $20\%$ per year, will be worth $\$500$.

   Hint (b):

   See part (a).