Christine O'Brien, who is selfemployed, wants to invest $?0,000 in a pension plan. One investment otters Ht} compounded quarterly. Another offers 6.?500 compounded continuously. 3. Which investment will earn the most interest in 5 years? b. How much more will the better plan earn? c. What is the eective rate in each case? d. If Ms. lO'Brien chooses the plan with continuous com pounding, how long 1.vill it take for her $?0,000 to grow to $90,000? e. How long 1.vill it take for her $T0,000 to grow to at least $00,000 it she chooses the plan with quarterlv compounding? [Be careful; interest is added to the account only.r every qua rter.}