Find the Total Value of the Given Income Stream and Also

Multiple Choice

Find the total value of the given income stream and also find its present value (at the beginning of the given interval) using the given interest rate. $R ( t ) = 90,000 e ^ { 0.03 t }$ , $0 \leq t \leq 5$ , at 6%

A) $T V = \$ 14,565.08$ , $P V = \$ 417,876.07$
B) $T V = \$ 5,582,123.93$ , $P V = \$ 12,536.28$
C) $T V = \$ 417,876.07$ , $P V = \$ 524,788.21$
D) $T V = \$ 485,502.73$ , $P V = \$ 417,876.07$
E) $T V = \$ 0$ , $P V = \$ 2,568,312.19$