Software development: Estimate the cost of developing a new software application based on the cost of a similar project that cost $$500,000$ and required $8$ months to complete. Assume the new project is expected to be $20\%$ larger in scope and complexity. What is the estimated duration of the new project? Type your answer rounded to one decimal place with no units, commas, or spaces. For example, if your answer is $5\mathrm{.}67,$ you'll type $5\mathrm{.}7.$