Solve the problem.In 1992, the population of a country was estimated at 5 million. For any subsequent year, the population, P(t) (in millions), can be modeled using the equation  where t is the number of years since 1992. Determine the year when the population will be 39 million.

What will be an ideal response?


in about 166.47 years or approximately the year 2158

Mathematics

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Solve. Round decimals to the nearest thousandth and percents to the nearest tenth of a percent.Write the equivalent decimal and percent for .

A. 0.665; 665% B. 0.545; 5.45% C. 0.545; 54.5% D. 0.665; 66.5%

Mathematics

The position vector of a particle is r(t). Find the requested vector.The acceleration at t =  for r(t) = (5t - 4t3)i  + 2tan(3t)j + e4tk

A. a = 2?i + 72j + 16e1/3?k
B. a = - 2?i + 72j + 16e1/3?k
C. a = - 2?i - 72j + 16e1/3?k
D. a = - 2?i - 72j + 16k

Mathematics

Solve the problem.In the weighted voting system ,

A. P1 and P2 have veto power, P3 is a dummy. B. P1 has veto power, P3 is a dummy. C. all three players have veto power. D. no player has veto power. E. none of these

Mathematics

Use a graphing utility to graph the function over the indicated interval and approximate any local maxima and local minima. Determine where the function is increasing and where it is decreasing. If necessary, round answers to two decimal places.f(x) = x3 - 4x2 + 6; (-1, 4)

What will be an ideal response?

Mathematics