Problem $2.(10$ Points$)$ Elizabeth can receive one of the following two payment streams:

$1.$ $$100$ at time $0,$ $$200$ at time n$,$ and $$300$ at time $2$n$.$

$2.$ $$600$ at time $10.$

At an annual effective interest rate of i$,$ the present values of the two streams are equal. Given

v

n $=0\mathrm{.}75941,$ determine i$.$