i need help solving these problems. can you show work as well

Question 1: You have enough money to buy a car using a $4.000 down payment and a monthly payment of $350 for the next 5 years, The bank offers a 0.5% monthly interest rate. If the price of the car is quote in thousands dollars ($1.000, $2.000...). what is the most expensive car you can buy? Question 2 Suppose Jennifer deposits $500 in an account at the end of this year. $400 at the end of the next year, and $300 at the end of the following year. If her opportunity cost rate is 7.5%, how much will be in the account immediately after the 3rd deposit is made? Question 3: I am 30 years old right row. I want to retire when I am 60 years old. I want to have $1 million at the time of retirement to afford for my old ages. Assume that I can eam a 1% monthly rate on my retirement savings account. How much should I save each month to achieve my retirement goal? Question 4: Suppose I retire at 60 years old (with no more income). I have $1 million in my savings account at the time of retirement. Assume that the interest rate I earn on my savings account is 0.5% monthly and I need to withdraw $6,000/month for all expenses. How long will survive with this much money? (At what age will I run out of money?) Question 4: Suppose I retire at 60 years old (with no more income). I have $1 million in my savings account at the time of retirement Assume that the interest rate I earn on my savings account is 0.5% monthly and I need to withdraw $6,000/month for all expenses. How long will survive with this much money? (At what age will I run out of money?) Question 5: A stock promises to pay 50 cents of dividend every quarter to its shareholders forever. Assume that interest rate is 0.5%/quarter. What is the value of this dividend stream today