answer all 3 questions with explainations pls

You just had your first child and would like to start saving for her college. You decide to deposit $1,000 on each birthday, starting with her first birthday (when she turns one), and continuing each year until her 18th birthday (you will make the last deposit on her 18 th birthday). If you expect to earn 6% on your savings, how much will be in the account immediately after making the last deposit? LOI and LO3 $18,000.00 $35.934.57 $30.905.65 $29.683.21 You have an outstanding loan that you would like to pay off. The loan has a 12% interest rate and currently requires annual payments of $11,000 and the end of each of the next 10 years. If you were to make one lump sum payment today rather than making the 10 remaining payments to pay off the loan, how much would you have to pay today? LOI and LO3 $76,310.92 $62,152.45 $113,670.61 $110,000.00 You are considering purchasing a new machine for your manufacturing business. The machine will improve efficiency and you expect it to save you $3,000 by the end of the first year after it is installed. The machine will then begin to wear out and you estimate that the savings will decrease 3% per year indefinitely. If the discount rate is 10%, what is the most you can pay to acquire that machine and still experience savings in present value terms? LO1 and LO4 $28.571.43 $30,000.00 $17.823.91 $23.076.92