1. Derek can deposit $11,000 on each birthday beginning with his 26th and ending with his 65th. What will the rate on the retirement account need to be for him to have $3,000,000 in it when he retires on his 65th birthday?

2. Derek can deposit $15,503.00 on each birthday beginning with his 29.00th and ending with his 68.00th. What will the rate on the retirement account need to be for him to have $3,729,113.00 in it when he retires?

3. If Derek plans to deposit $13,441.00 into his retirement account on each birthday beginning with his 26th and the account earns 7.00%, how long will it take him to accumulate $2,130,221.00?

4. Derek decides that he needs $173,640.00 per year in retirement to cover his living expenses. Therefore, he wants to withdraw $173640.0 on each birthday from his 66th to his 90.00th. How much will he need in his retirement account on his 65th birthday? Assume a interest rate of 10.00%.

5. Derek plans to retire on his 65th birthday. However, he plans to work part-time until he turns 71.00. During these years of part-time work, he will neither make deposits to nor take withdrawals from his retirement account. Exactly one year after the day he turns 71.0 when he fully retires, he will wants to have $3,004,608.00 in his retirement account. He he will make contributions to his retirement account from his 26th birthday to his 65th birthday. To reach his goal, what must the contributions be? Assume a 6.00% interest rate.