7:51 PM Sat Mar 21 * 97% Business and Economics 49. Double declining balance depreciation. An office machine is purchased for $5200. Assume that its salvage value, V, in dollars, depreciates, according to a method called double declining balance, by 20% each year and is given by V(t) = 5200(0.80)', where t is the time, in years, after purchase. a. Find V(5), and explain its meaning. b. Find V (5), and explain its meaning. c. When will the salvage value of the office machine be half of the purchase price? 50. Recycling aluminum cans. It is known that 49.4% of all aluminum cans distributed are recycled each year. A beverage company uses 250,000 lb of aluminum cans. After recycling, the amount of aluminum, in pounds, still in use after t years is given by N(t) = 250,000(0.494)' . (Source: aluminum.org, 2017.) a. Find N(3), and explain its meaning. b. Find N (3), and explain its meaning. c. When will 10% of the original amount of aluminum still be in use? 51. Recycling glass. In 2012, 34.1% of all glass containers were recycled. A beverage company used 400,000 lb of glass containers per year. After recycling, the amount of glass, in pounds, still in use after t years is given by N(t) = 400,000(0.341)' . (Source: www.gpi.org.) a. Find N(4), and explain its meaning. b. Find N (4), and explain its meaning. c. When will 5% of the original amount of glass still be in use? 52. Agriculture. Farmers wishing to avoid the use of nonheirloom seeds are
7:51 PM Sat Mar 21 * 97% Business and Economics 49. Double declining balance depreciation. An office machine is purchased for $5200. Assume that its salvage value, V, in dollars, depreciates, according to a method called double declining balance, by 20% each year and is given by V(t) = 5200(0.80)', where t is the time, in years, after purchase. a. Find V(5), and explain its meaning. b. Find V (5), and explain its meaning. c. When will the salvage value of the office machine be half of the purchase price? 50. Recycling aluminum cans. It is known that 49.4% of all aluminum cans distributed are recycled each year. A beverage company uses 250,000 lb of aluminum cans. After recycling, the amount of aluminum, in pounds, still in use after t years is given by N(t) = 250,000(0.494)' . (Source: aluminum.org, 2017.) a. Find N(3), and explain its meaning. b. Find N (3), and explain its meaning. c. When will 10% of the original amount of aluminum still be in use? 51. Recycling glass. In 2012, 34.1% of all glass containers were recycled. A beverage company used 400,000 lb of glass containers per year. After recycling, the amount of glass, in pounds, still in use after t years is given by N(t) = 400,000(0.341)' . (Source: www.gpi.org.) a. Find N(4), and explain its meaning. b. Find N (4), and explain its meaning. c. When will 5% of the original amount of glass still be in use? 52. Agriculture. Farmers wishing to avoid the use of nonheirloom seeds are
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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#49A, #49B, #49C
Transcribed Image Text:7:51 PM Sat Mar 21
* 97%
Business and Economics
49. Double declining balance depreciation. An office machine is purchased for
$5200. Assume that its salvage value, V, in dollars, depreciates, according to
a method called double declining balance, by 20% each year and is given by
V(t) = 5200(0.80)',
where t is the time, in years, after purchase.
a. Find V(5), and explain its meaning.
b. Find V (5), and explain its meaning.
c. When will the salvage value of the office machine be half of the
purchase price?
50. Recycling aluminum cans. It is known that 49.4% of all aluminum cans
distributed are recycled each year. A beverage company uses 250,000 lb of
aluminum cans. After recycling, the amount of aluminum, in pounds, still in
use after t years is given by
N(t) = 250,000(0.494)' .
(Source: aluminum.org, 2017.)
a. Find N(3), and explain its meaning.
b. Find N (3), and explain its meaning.
c. When will 10% of the original amount of aluminum still be in use?
51. Recycling glass. In 2012, 34.1% of all glass containers were recycled. A
beverage company used 400,000 lb of glass containers per year. After
recycling, the amount of glass, in pounds, still in use after t years is given by
N(t) = 400,000(0.341)' .
(Source: www.gpi.org.)
a. Find N(4), and explain its meaning.
b. Find N (4), and explain its meaning.
c. When will 5% of the original amount of glass still be in use?
52. Agriculture. Farmers wishing to avoid the use of nonheirloom seeds are
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