Answer
a. 3441.7;
b. $7659.63
Work Step by Step
a. $P=\int ^{10}_{0} 500e^{-0.08t}=500\frac{e^{-0.08t}}{-0.08}|^{10}_{0}=-6250(e^{-0.8}-1)=3441.7 $
b. $A=e^{(0.08)10}\int^{10}_{0}500e^{-0.08t}dt = e^{0.8}.500\int^{10}_{0}e^{-0.08t}dt=e^{0.8}.500.\frac{1}{-0.08}(e^{-0.08t}|^{10}_{0}) \approx 7659.63$
