Solve the problem.A weight hangs from a rope 20 feet long. It swings through an angle of 27° each second. How far does the weight travel each second? Round to the nearest 0.1 foot.
A. 9.0 feet
B. 8.1 feet
C. 9.4 feet
D. 8.7 feet
Answer: C
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Solve the problem.The 2006 price of a certain type of car is $21,900. Estimate the price of the same car in the year 2021. Assume a constant annual inflation rate of 2.5%. Give a number of significant figures consistent with the 2006 price given.
A. $32,986.44 B. $30,449.02 C. $30,112.50 D. $31,717.73
Solve the problem.Let y(t) be the population of a species of plant that is being harvested, for t ? 0. Consider the harvesting model
where h is the annual harvesting rate, y0 is the initial population of the species, and t is measured in years. If y0 = 5000, what harvesting rate should be used to maintain a constant population of y = 5000, for t ? 0?
A. h = 5000 yr-1 B. h = 10 yr-1 C. h = 100 yr-1 D. h = 25 yr-1
Graph the function, showing all asymptotes (those that do not correspond to an axis) as dashed lines. List the x- and y-intercepts.f(x) =
A. x-intercept: (0, 0) , y-intercept: (0, 0) ;
B. x-intercept: (0, 0) , y-intercept: (0, 0) ;
C. x-intercepts: (-3, 0) and (3, 0) , y-intercept:
D. x-intercepts: (-3, 0) and (3, 0) , y-intercept:
Solve the problem.A box with an open top is to be constructed from a rectangular piece of cardboard with dimensions 14 inches by 20 inches by cutting out equal squares of side x at each corner and then folding up the sides as in the figure. Express the volume V of the box as a function of x.
A. V(x) = x(14 - x)(20 - x) B. V(x) = x(14 - 2x)(20 - 2x) C. V(x) = (14 - x)(20 - x) D. V(x) = (14 - 2x)(20 - 2x)