Suppose a country's population at any time t grows in accordance with the rule
?
?
where P denotes the population at any time t, k is a positive constant reflecting the natural growth rate of the population, and I is a constant giving the (constant) rate of immigration into the country. The population of the United States in the year 1980 
was 224.5 million. Suppose the natural growth rate is 0.8% annually 
and net immigration is allowed at the rate of 0.5 million people/year 
until the end of the century. What will be the U.S. population in 2003?
?
Round the answer to the nearest tenth of a million, if necessary.
?
P=__________ million
Fill in the blank(s) with the appropriate word(s).
282.5
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Identify all of the symmetries in the following figure.
A. It has reflection symmetries; it can be reflected across a vertical line through its center, a horizontal line through its center, or either of its diagonals, and its appearance remains the same. It also has rotation symmetries; it can be rotated through 90°, 180°, or 270°, and its appearance remains the same. B. It has rotation symmetries; it can be rotated through 90°, 180°, or 270°, and its appearance remains the same. It also has translation symmetry. C. It has reflection symmetries; it can be reflected across a vertical line through its center or a horizontal line through its center, and its appearance remains the same. It also has rotation symmetry; it can be rotated through 180° and its appearance remains the same. D. None of these.
Solve the problem.For the function f(x) = 5
- 5
, find all values x for which f(x) = 5.
A. 5 B. -5 C. 4 D. ?
Solve the problem.A thermometer reading 12°C is brought into a room with a constant temperature of 25°C. If the thermometer reads 17°C after 4 minutes, what will it read after being in the room for 10 minutes? Assume the cooling follows Newton's Law of Cooling: U = T + (Uo - T)ekt.(Round your answer to two decimal places.)
A. 7.15°C B. 24.9°C C. 21.14°C D. 28.86°C
Transform the polar equation to an equation in rectangular coordinates. Then identify and graph the equation.r = 4 cos ?
A. 
x2 + (y + 2)2 = 4; circle, radius 2,
center at (0, -2) in rectangular coordinates
B. 
(x - 2)2 + y2 = 4; circle, radius 2,
center at (2, 0) in rectangular coordinates
C. 
(x + 2)2 + y2 = 4; circle, radius 2,
center at (-2, 0) in rectangular coordinates
D. 
x2 + (y - 2)2 = 4; circle, radius 2,
center at (0, 2) in rectangular coordinates