Calculator problems - please list fv,pv,n,I/yr and pmt where applicable

1. Your family member wins the lottery. He can take $35,000,000 today or a 30 year payout at $1,250,000 per year for 30 years. Assuming a discount rate of 6%, what should your relative decide to do? Please break down your reasoning.

2. You receive a call from your alma mater. The university needs to hire 3 new English professors. The total cost per year for the three professors is $450,000 per year. Assuming a discount rate of 6%, how much does the University ask you to endow to support, annually, forever, the compensation of the three faculty positions? Please break down your reasoning.

3. You need to establish a cash flow that grows at 2% per year. If you need $500,000 per year, and require the payment to grow by 2% annually, how much must you endow to provide the permanent payment that grows by 2%, if your discount rate is 6%? Please break down your reasoning.

4. The CSUDH Foundation wishes to donate $1,000,000 annually in scholarships to students. Assuming a discount rate of 6%, how much must the Foundation endow in order to generate the annual scholarship payment? Please break down your reasoning