Chapter 6.2, Problem 16E

B In Problems 15 and 16, explain which of (A), (B), and (C) are equal before evaluating the expressions. Then evaluate each expression to two decimal places.

16. (A)     ${\displaystyle {\int }_0^{10}2,000e^{0.05t}{e}^{0.12\left(10-t\right)}}dt$

(B)     $2,000e^{1.2}{\displaystyle {\int }_0^{10}{e}^{-0.07t}dt}$

(C)     $2,000e^{0.05}{\displaystyle {\int }_0^{10}{e}^{0.12\left(10-t\right)}}dt$