Solve.The population of a particular city is increasing at a rate proportional to its size. It follows the function P(t) = 1 + ke0.06t where k is a constant and t is the time in years. If the current population is 14,000, in how many years is the population expected to be 35,000? (Round to the nearest year.)

A. 8 yr
B. 15 yr
C. 7 yr
D. 90 yr


Answer: B

Mathematics

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Solve the problem.The equation P = IV cos ? gives the power (in watts) absorbed in an ac circuit. Find ? when P = 110 W, V = 120 V, and I = 1.6 A. Round results to an appropriate number of significant digits.

A. 35° B. 61° C. 55° D. 50°

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Graph the function on a grapher. Then use the grapher to find the x- and y-intercepts. Round to the nearest hundredth if necessary.f(x) = 0.68x2 + 1.57x + 15.76

A. No x-intercepts, (0, 15.76) B. (15.76, 0), no y-intercepts C. (3.80, 0), (-6.11, 0), (0, 15.76) D. (3.80, 0), (0, 15.76)

Mathematics

Provide an appropriate response.Raise to the indicated power:  3

Fill in the blank(s) with the appropriate word(s).

Mathematics

Plot the point in a polar coordinate system.

A.

B.

C.

D.

Mathematics