Answer
a.$ \approx 6883.4$;
b. $\approx 15319.26$
Work Step by Step
a. $P=\int ^{10}_{0} 1000e^{-0.08t}=1000\frac{e^{-0.08t}}{-0.08}|^{10}_{0}=-12500(e^{-0.8}-e^{0})=6883.39 \approx 6883.4$
b. $A=e^{(0.08)10}\int^{10}_{0}1000e^{-0.08t}dt = e^{0.8}.1000\int^{10}_{0}e^{-0.08t}dt=e^{0.8}.1000.\frac{1}{-0.08}(e^{-0.08t}|^{10}_{0}) \approx 15319.26$
