A$.$ is saving for a trip for his family and as of today has accumulated $$750$ in a trip fund. AJ's goal is to accumulate $$1500,$ or $2$ times this amount to support the trip. Assuming that all of AJ's trip fund is invested to earn an interest rate of $5\mathrm{.}00\%,$ how long, in years and in fractions of a year, will it take AJ to achieve his goal?

Years

INSTRUCTIONS: Place your answer in years and parts of a year up to two decimal places. For example, the answer of $5\mathrm{.}33$ would be interpreted as $5$ and one$-$third years. You should work all analysis using at least $4$ decimal places of accuracy.