The value of a house is $165,000 and it loses 4% of its value every year.
a. use the exponential decay formula below to write a function for the home's value, y, after t years.
y=a(1±r)^t
b. now use your formula to find the value of the home after 20 years. round to the nearest dollar.

geometry: triangles

solvers

lessons

answers archive

call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

25.45584