Solve the problem.The shadow cast by an object on a sunny day varies directly with the height of the object. If a person 55 inches tall casts a shadow 69 inches long, how tall is a tree which casts a shadow 48 feet in length? Round to the nearest hundredth when necessary.
A. 79.06 ft
B. 60.22 ft
C. 38.26 ft
D. 62 ft
Answer: C
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Find the derivative.g(x) = (6x5 - 8x)9/5
A. 
(6x5 - 8x)4/5
B. 
(6x5 - 8x)4/5(30x4 - 8)
C. 
(30x4 - 8)4/5
D. 
(6x5 - 8x)-4/5 (30x4 - 8)
Solve.Under ideal conditions, a population of rabbits has an exponential growth rate of 11.7% per day. Consider an initial population of 200 rabbits. Find the exponential growth function.
A. P(t) = 200e0.117t B. P(t) = 20e0.117t C. P(t) = 100e11.7t D. P(t) = 100e1.17t
Solve the problem.Find the distance an object has fallen after 6 seconds. Use the formula t = 
, where t is the time in seconds that it takes an object to fall a distance of h feet.
A. 144 ft B. 0.61 ft C. 9.8 ft D. 576 ft
Solve the problem.Over a year period, a hardware store made the following purchases of hammers: 24 hammers at 
, 30 hammers at 
, 36 hammers at 
, and 26 hammers at 
. Inventory at the end of the year shows 35 hammers remain. Find the inventory value by (a) weighted average method, (b) FIFO Method, and (c) LIFO Method. Round final answers to the
nearest cent. A. (a) $219.10 (b) $251.51 (c) $232.24 B. (a) $188.48 (b) $241.15 (c) $219.10 C. (a) $224.96 (b) $232.24 (c) $281.75 D. (a) $219.10 (b) $232.24 (c) $251.51