1. Derek plans to retire on his 65th birthday. However, he plans to work part-time until he turns 73.00. 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 73.0 when he fully retires, he will begin to make annual withdrawals of $111,480.00 from his retirement account until he turns 89.00. After this final withdrawal, he wants $1.89 million remaining in his 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 8.00% interest rate.

2. Derek plans to retire on his 65th birthday. However, he plans to work part-time until he turns 72.00. 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 72.0 when he fully retires, he will wants to have $3,353,208.00 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 8.00% interest rate.

3. Derek borrows $290,796.00 to buy a house. He has a 30-year mortgage with a rate of 5.58%. After making 144.00 payments, how much does he owe on the mortgage?

4. Derek borrows $30,649.00 to buy a car. He will make monthly payments for 6 years. The car loan has an interest rate of 5.59%. After a 13.00 months Derek decides to pay off his car loan. How much must he give the bank?