Question

2. The accumulated amount of a continuous annuity is given by S= f(t)e-dt, where r is the annual rate compounded continuously, T is the number of years, and f(t) is the rate of payment per year at time t. If f(t) = 400 and r = 6%, then the accumulated amount at the end of 10 years will be (The answers are given rounded to the nearest dollar) A) $3008 B) $5481 C) $7163 D) $4000 E) $4240