want to be able to withdraw $40,000 from my account each year for 30 years after I retire. I expect to retire in 15 years. If my account earns 4% interest, how much will I need to deposit each year until retirement to achieve my goals?

You are saving for retirement. To live​ comfortably, you decide you will need to save ​$2,500,000 by the time you are 65. Today is your 32nd ​birthday, and you​ decide, starting today and continuing on every birthday up to and including your 65th ​birthday, that you will put the same amount into a savings account. If the interest rate is 7%​, how much must you set aside each year to make sure that you will have ​$ 2,500,000 in the account on your 65th ​birthday? The amount to deposit each year must be $

Adele is planning for retirement. She would like to have $75,000 in her hand at the beginning of her first year of retirement at age 65 to live on for the year. She estimates that the amount will have to grow by 6% every year to keep up with inflation. What APR (nominal rate per year) should her retirement account earn if it is compounded continuously? She plans to deposit $21,000 on her 40th birthday and plans to keep increasing the deposits by 6% every year and till her 64th birthday. She estimates her life expectancy to be 85, meaning she would like to have the last retirement payment on her 85th birthday.

You are saving for retirement. To live comfortably, you decide you will need to save $2 million by the time you are 65. Today is your 26th birthday, and you decide, starting today and continuing on every birthday up to and including your 65th birthday, that you will put the same amount into a savings account. If the interest rate is 4%, how much must you set aside each year to make sure that you will have $2 million in the account on your 65th birthday?