Convert the cash flows shown below (black arrows) into an equivalent annual worth A in years 1 through 8 (red arrows) at i= 10% per year. A=? A = $3000 i = 10% $1000 Approaches: 1. Convert all cash flows into P in year 0 and use A/P with n = 8 2. Find F in year 8 and use A/F with n = 8

Can someone please help me to solve this problem showing neat hand written work and all formulas as well as following directions and showing cash flow diagrams drawn by hand please and thank you!!

Which statement is true? a) An arithmetic gradient sits atop a present worth b) An arithmetic gradient increases or decreases by a constant percentage over time c) The Future worth of an annuity is one time period to the right of the last arrow d) All of the above e) None of the above

Kate deposits P5,000 to her bank account every year when she was in high school for four years to prepare for her college degree. She took an engineering course and since then, she stopped depositing to her bank account. Right after graduation (she graduated on time), she got a job that pays P250,000 a year. If she continues to deposit to the same bank account P50,000 every year for 10 years, calculate the future worth after 30 years if the deposits are made at the end of each year and the bank pays 2% interest per year.   ANSWER:  1,041,934.60   PLEASE SHOW YOUR CORRECT AND COMPLETE SOLUTION TO THIS PROBLEM NEATLY . THANK YOU!