Linus deposits 100 into an account at the end of each year for 20 years. This account earns interest at an annual effective rate of 5%. Lucy deposits money into an account at the end of each year for 20 years. Her account also earns interest at an annual effective rate of 5%. Her deposits are: P, 2P, ... , 20p. At the end of 20 years the accumulated amounts are the same. Find P.

(a) 10.93 (b) 11.05 (c) 11.12 (d) 11.23 (e) 11.35