A two-bedroom house in Seattle was worth $$400{,}000$ in $2005$. If it appreciates at a rate of $3.5\%$ each year:

1. How much will it be worth in $2015$?

   Hint (a):

   Write an equation based on the general exponential equation: $y = ab^{x}$

   Answer (a):

   about $$564{,}240$

2. When will it be worth $$800{,}000$?

   Hint (b):

   In the equation you found in part (a), let $y = 800{,}000$.

   Answer (b):

   in $2025$

3. In Jacksonville, houses are depreciating at $2\%$ per year. If a house is worth $$200{,}000$ now, how much value will it have lost in $10$ years?

   Hint (c):

   The multiplier is NOT $0.02$. What percent of the value of a home remains each year if it is depreciating at $2\%$?

   Answer (c):

   about $$36{,}585$