***no computer spreadsheets or coding please:)***

4) In each case find the value of the perpetuities at December 31,2017 using 6% interest. a) Payments of $30,000 per year starting on January 1, 2018. b) Payments of $48,000 per year paid on December 31 starting in 2018 . c) Payments of $8,000 made every June 30 and December 31 starting in 2018 . d) Payments of $5000 made every two months starting on January 1, 2020. e) Payments made continuously at the rate of $200,000 per year starting on March 31,2019