can you please show work so I can understand

9 10 All cash flows occur at the end of the period. 11 12 1. What is the annual interest rate, if $10,000 grows to $12,166 over 5 years? (5) 13 remember to use opposite signs on the payment and present values 14 15 2. If $1,000 invested today at an annual interest rate of 5%, what is the value four years from today? (5) 16 17 18 3. You take out a loan today of $10,000 with annual payments and an interest rate of 4%. If the maturity is 5 years, how much are the annual payments? (5) 19 20 21 22 4. How many years does it take to accumulate $10,000 in the future, if the interest rate is 6% and $3,000 is invested today? (5) remember to use opposite signs on the payment and present values 23 24 25 5. If you are due to receive $10,000 five years from today and your discount rate is 6%, what is the value to you today? (5) 26 27 28 6. What monthly annuity investment (deposit per month) is required to achieve $20,000 in 4 years, if the nominal annual interest rate is 6%? (5) (you need to adjust nper and rate for monthly) 29 30 31 32 7. Today you invest $81,109 to receive an equal payment of 10,000 per year (annuity) for the next 10 years. What annual interest rate have you earned? remember to use opposite signs on the payment and present values (5) 33