the answers are provided, i just need help figuring out how to solve for "i". please give detailed instruction how to solve for "i" with every step included. will thumbs up, thanks

You are going to make a loan to a friend. You want a real return =2%, and you expect inflation to be 8.1%. What interest rate should you charge your friend? 2=[(1+i)/(1+0.081)1]100.Solvefori=0.10262=10.62% A bank makes a loan at a 7.5% interest rate. A bank officer tells you the bank tries to 3% real return. What is the bank's forecasted inflation rate? 3=[(1+0.075)/(1+I)1]100.SolveforI=0.043689=4.3689% - The 3 -year interest rate =6%. The 1 -year rate is 3%, and the 1 -year rate one year forward is 4.7%. What is the expected one year rate, two years forward? (1+0.06)3=(1.03)(1.047)(1+i).Solvefori=0.10442=10.442% - The 4-year interest rate =5%. The 1 -year rate is 3%, and the 2 -year rate one year forward is 4%. What is the expected one year rate, three years forward? =(1+0.05)4=(1.03)(1.04)(1.04)(1+i).Solvefori=0.09107=9.11%