a machine starts production of matchboxes at the rate of 12000 per hour. The rate of production decreases by 40% every hour. Calculate the total nimber of matchboxes produced in first 2 hours
Solution
P0=12,000P_0=12,000P0=12,000
r=−40%=−0.4r=-40\%=-0.4r=−40%=−0.4
P=P0(1−r)tP=P_0(1-r)^tP=P0(1−r)t
P=12,000(1−0.4)2P=12,000(1-0.4)^2P=12,000(1−0.4)2
P=12,000(0.36)P=12,000(0.36)P=12,000(0.36)
P=4,320P=4,320P=4,320
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