1. There are two accounts X and Y. X accumulates according to the force of interest = 0.07 dx (t) 1+ t2 Y accumulates according to a force of interest of 5%. Suzy can transfer her funds between accounts X and Y at any time. Suzy deposits 5000 at time t = 0. (a) What is the maximum amount Suzy can have at t= : 1? (b) What is the minimum amount Suzy can have at t= 1? (c) If Suzy keeps her money in account X, how much will she have at t = 1? (d) If Suzy keeps her money in account Y , how much will she have at t = 1? (e) Repeat (a) through (d) under the assumption the deposit of 5000 was made at time t= 0.25