A Financial Adviser is someone whose job it is to calculate inflation rates of homes. The inflation rate $($expression in decimal form$)$ of a home that increased or decreased in price from $p_1($original purchase price$)$ to $p_2($selling price$)$ over $n$ years, can be calculated using the formula:

$i=(\frac{p_2}{p_1}{)}^{\frac{1}{n}}-1$

The house pictured above was recently sold in Oviedo, FI$.$ The couple living there bought the home when it was first built in $1989$ for $$89,100.$ Twenty$-$nine y later, they sold their house for $$285,000.$ Using this information, calculate the inflation$-$rate of this home. Represent your answer as a percentage with $2$ decin places.

"Example: If your solution is $0,1348$dots you would multiply by $100$ to convert your answer into a percent $13\mathrm{.}48\%.$ Enter your response as a numerical value s as $13\mathrm{.}48,$ do not include the $\%$ symbol.

Type your answer.:.