Question

PLEASE ANSWER A, B, AND C. THANK YOU

An office machine is purchased for $7600. Assume that its salvage value, V, in dollars, depreciates, according to a method called double declining balance, by 40% each year and is given by V(t) = 7600(0.6074, where t is the time, in years, after purchase. a) Find V6), and explain its meaning. b) Find V' 6), and explain its meaning. c) When will the salvage value of the office machine be half of the purchase price? a) V(6) = 5 (Round to the nearest cent as needed.)

Answer 1

An office machine is purchased for $7600 The salrage value after t year is N(+) = 7600 (1-1) = 7.600 ( 0.60€ V (1) = $ 7600 (0:696 - $354.5856 =$359.59 (round upto two decimal places) The Salvage value. after 6 years win be $ 354.59 4. V(+) = 7600 (9.67 differentiate wor.to N'C+2= 7600 Co.byt wg (0:6) : ' (6) = $7600 (0.6jf wg (0.6) =$-78.6643 (round up to two decimal places) = $-78.66 iv(e) indicare the rate of Change the Salvage value for at byear. T 2 e) det after I year the salvage value will be the half of purchased value. 4. According to the problem 7600 = 7600 (0.6) om (0.6)7 = Taking tog on both side we have g (0.6) T = wg (0.5) or T wg (0.6) = wg (0.5) T wg (0.5) = 1.3569. Tog (0.6) ². T = 1.36 (round upto taro decimal place) After 1.36 year the salvage value will be halt of purchased value Or