Christine O'Brien, who is self-employed, wants to invest $70,000 in a pension plan. One investment a. Choose the investment which will earn the most interest below offers 8% compounded quarterly. Another offers 7 75% compounded continuously a. Which investment will earn the most interest in 5 years? O compounded continuously b. How much more will the better plan earn? c. What is the effective rate in each case? O compounded quarterly d. If Ms. O'Brien chooses the plan with continuous compounding, how long will it take for her $70,000 to grow to $80,000? e. How long will it take for her $70,000 to grow to at least $80,000 if she chooses the plan with quarterly compounding? (Be careful, interest is added to the account only every quarter.)