Fund A accumulates at a force of interest, δt=0.008t+0.05.
Fund B accumulates at a force of interest, δt=0.07.
Brent deposits 500 in Fund A at time, t=0. Carrie deposits X in Fund B at time, t=0. At the end of five years, Carrie's account is twice the amount of Brent's.
What is the value of Carrie's account at the end of two years?