3. An annuity immediate pays $1,800 at the end of each year for 4n years. It has the same present value as a perpetuity immediate that pays $1,345.94 at the end of each year. (a) What is the value of vn? (b) If an n year annuity immediate that pays X at the end of each year has the same effective annual interest rate and same present value as the other annuities, what is X