Using acturial science equations if possible

Question 3.05 Wanda and Claire each open new bank accounts at time 0 . Wanda deposits 1,000 into her bank account, and Claire deposits $700 into hers. Each account earns the same annual effective interest rate, l. The amount of interest earned in Wanda's account during the 11th year is equal to X. The amount of interest earned in Claire's account during the 15th year is also equal to X. Calculate X. A 159.25 B 227.50 C 243.92 D 248.71 E 266.67 Question 3.09 At an annual effective interest rate i,i>0, the following are equal: (i) The present value of 12,000 at the end of 12 years (ii) The sum of the present values of 3,000 at the end of year t and 63,000 at the end of year 2t (iii) 8,000 immediately Calculate the present value of a payment of 6,000 at the end of year (t+1). A 1,934 B 2,000 C 2,210 D 2,900 E 3,867 Question 3.11 Sarah will receive $10,000 in 3 years and $15,000 in 5 years. The compound discount rate is 6.5% per year. Calculate the present value of today of the payments. A 10,719 B 12,357 C 18,893 D 19,227 E 19,461 Question 3.12 Linda deposits $8,000 into an account now and $2,000 in 2 years. Interest is credited at an annual discount rate of 7%. Calculate the balance in the account at the end of 6 years. A 9,730 B 10,312 C 14,627 D 14,677 E 15,039