An item purchased for $750 gains 12% of its value every year.

The item's value can be modeled by the function $\displaystyle {v}{\left({t}\right)}={a}\cdot{b}^{{t}}$, where $\displaystyle {v}$ is the dollar value and $\displaystyle {t}$ the number of years since purchase.

(A) In the exponential model $\displaystyle {a}=$ and $\displaystyle {b}=$ .

(B) In how many years will the item be worth twice its original value? Round answer to 1 decimal place.

The answer is years