A philanthropist leaves an inheritance to 3 charities as a perpetuity-due. For the first n years, the first charity gets the payments. The other two charities split the remaining payments equally. If the present value of all the payments are equal, find (1 + i)n.
A man is retiring in 10 years and has $10000 in a tax shelter with an annual effective rate of 6% for 10 years. Every withdrawal made in the next 5.5 years is charged a penalty in the amount of 10% of the withdrawal from the account. If equal size withdrawals (not including any penalties) are made at the end of years 3, 4, 5, 6, 7, 8, and the value of the fund after 10 years is $9000, what was the amount of each withdrawal?