Answer
a. 45231.8;
b. 41469.1;
c. 38121.7;
Work Step by Step
a. $P=\int ^{6}_{0} 8000e^{-0.02t}dt=8000(\frac{e^{-0.02t}}{-0.02})|^{6}_{0} \approx 45231.8$
b. a. $P=\int ^{6}_{0} 8000e^{-0.05t}dt=8000(\frac{e^{-0.05t}}{-0.05})|^{6}_{0} \approx 41469.1$
c. b. a. $P=\int ^{6}_{0} 8000e^{-0.08t}dt=8000(\frac{e^{-0.08t}}{-0.08})|^{6}_{0} \approx 38121.7$
