Recall that the symbol z represents the complex conjugate of z. if z = a + bi, show that the statement is true. z − z is a pure imaginary number. use the definition of complex conjugates to simplify the expression.

Dean and karlene get paid to write songs. dean is paid a one-time fee of $20 plus $80 per day. karlene is paid a one-time fee of $25 plus $100 per day. write an expression to represent how much a producer will pay to hire both to work the same number of days on a song.