SOLUTION: If a piece of real estate purchased for $75,000 in 1998 appreciates at the rate of 6% per year, then its value t years after the purchase will be f (t) = 75,000(1 + .06t ) . Acco

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: If a piece of real estate purchased for $75,000 in 1998 appreciates at the rate of 6% per year, then its value t years after the purchase will be f (t) = 75,000(1 + .06t ) . Acco      Log On


   



Question 72294: If a piece of real estate purchased for $75,000 in 1998 appreciates at
the rate of 6% per year, then its value t years after the purchase will
be f (t) = 75,000(1 + .06t ) . According to this model, by how much will the
value of this piece of property increase between the years 2005 and
2008?

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Sometime in 1999, one year after purchase, the house has appreciated by
6%. By the formula, in 2005, 7 years after purchase, the house is worth
75000%281+%2B+.06t%29
75000%281+%2B+.06%2A7%29
In 2008, 10 years after purchase, the value is
75000%281+%2B+.06%2A10%29
Between those years it has appreciated
75000%281+%2B+%28.06%2A10%29%29+-+%2875000%281+%2B+%28.06%2A7%29%29%29
75000+%2B+.6%2A75000+-+75000+-+.42%2A75000
.18%2A75000
13500 answer