Solve the problem.The population of a particular city is increasing at a rate proportional to its size. It follows the function P(t) = 1 + ke0.04t where k is a constant and t is the time in years. If the current population is 18,000, in how many years is the population expected to be 45,000? Round to the nearest year.
A. 23 yr
B. 130 yr
C. 10 yr
D. 13 yr
Answer: A
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Solve the problem.A water tank can be filled in 7 minutes and emptied in 8 minutes. If the drain is accidentally left open when the tank is being filled, how long does it take to fill the tank?
A. 56 min
B. min
C. 3 min
D. min
Solve the system of equations by the substitution method.
A. {(-12, -6)} B. {(12, 5)} C. {(6, -12)} D. {(-12, 6)}
Find absolute maximum and minimum values of the function, if they exist, over the indicated interval. Where no interval is specified, use the real line. List your answers in terms of ordered pairs.
f (x) = sin2 x + tan2 x; (?? /2, ?/2)
Refer to the table to answer the question. Which category and year shows the largest increase?
A. Public Relations, 2009-2010 B. Catalog, 2008-2009 C. Sales, 2008-2009 D. Public Relations, 2008-2009