Answer to Question #312360 in Algebra for Fish

Question

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

Answer 1

Solution

$P_0=12,000$

$r=-40\%=-0.4$

$P=P_0(1-r)^t$

$P=12,000(1-0.4)^2$

$P=12,000(0.36)$

$P=4,320$