Differance Equations (II) Please help, last chegg expert got it wrong.

1. Mary wants to take out a loan. Suppose she can afford to make monthly payments of 500 dollars and the bank charges interest at an annual rate of 6 percent, compounded monthly. What is the maximum amount that Mary could afford to borrow if the loan is to be paid off eventually? (Give your answer, in dollars, correct to the nearest dollar.) answer = amount she can borrow = ____

2. Nicola borrows 75000 dollars from a bank that charges interest at an annual rate of 8 percent, compounded monthly. Calculate the monthly payment that Nicola would have to make in order for the loan to be paid off after exactly 25 years. (Give your answer, in dollars, to the nearest cent. You should not include the dollar sign or any commas in your answer.) answer = monthly payment = _______

3. Carolyn wants to retire in 25 years time, and so decides to start a new retirement savings account. She wants to accumulate 750000 dollars by the time she retires. Initially, Carolyn deposits 5000 dollars into the account. She will make further deposits at the end of each month.The account will earn interest at annual rate 8 percent, compounded monthly. How much will she have to deposit into the account each month in order to reach this target after 25 years? (Give your answer, in dollars, correct to the nearest cent.) answer = monthly deposit = ______