## Algebra 2 (1st Edition)

$V=1300(0.677)^4$
Let $x$ be the number of years since the purchase. Then our initial amount is $1300$, and the percent decrease is: $r$. Then the equation for the value is: $275=1300(1-r)^4\\(1-r)^4=\frac{275}{1300}\\1-r=\sqrt[4] {\frac{275}{1300}}\\r=1-\sqrt[4] {\frac{275}{1300}}\approx0.323$ Thus $V=1300(1-r)^4=1300(1-0.323)^4=1300(0.677)^4$