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Q. 3. In a forest there are 40,000 trees. Find the expected number of trees a, years if the objective is to increase the number at the rate 5% per year., , Answer : Present Trees (P) = 40000 trees, Rate = 5% (p.c.p.a), Duration (n) = <, , vA=P(1+ . je, an 100, , - A = 40000 (1 +i), , A = 40000 (1+0.05)?, , A = 40000 (1.05)?, , A = 40000 (1.157625), , “A= 46305/, -. The expected number of trees after 3 years will be 46305., , Q. 4. The cost price of a machine is 2,50,000. If the rate of depreciation is 1, year find the depreciation in price of the machine after two years., , Answer : Principal = 250000/-, Rate (decrement) = 10% (p.c.p.a), Duration (n) =, years, , » A = 250000 (1+ ae)?, , A = 250000 (1- 20), , A = 250000 (1-0.1)?, A = 250000 (0.9)2, , A = 250000 (0.81)