Lakisha has a utility function for income given by $U(I)=\sqrt[\phantom{2}]{\text{I}}.$ Lakisha is

Lakisha is considering an investment that would give her an income of $$10,000$ with a probability of $0\mathrm{.}35$ or an income of $$20,000$ with a probability of $0\mathrm{.}65.$ The expected utility of this investment is

$($Enter your response as a real number rounded to two decimal places.$)$

Lakisha is also considering a safe investment that returns a certain income of $$14,000.$ Given her utility function, Lakisha would prefer the