If $1000 is invested at an interest rate, , compounded annually, the amount in the account after 4 years is given by the polynomial function () = 1000(1 + )^4. Graph this function in an appropriate window. Describe how this function is transformed from the graph of () = ^4. At what interest rate would the money need to be invested in order to yield $1200 after 4 years? Show how this answer is represented on the graph of = (). Verify this result by solving for this value algebraically.