Solve the problem.Assume that the rate of change of population of a certain city is given by  where y is the population at time t, in years. The population was 100,000 in 1980  in 1980). Predict the population in 2020.

A. 1,202,318
B. 982,318
C. 1,162,318
D. 1,102,318


Answer: D

Mathematics

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Use the Change-of-Base Formula and a calculator to evaluate the logarithm. Round to four decimal places.log0.218

A. 0.5563 B. -0.5568 C. -1.7959 D. 1.9542

Mathematics

Graph f as a solid line and  f-1 as a dashed line in the same rectangular coordinate space. Use interval notation to give the domain and range of f and f-1.f(x) = (x - 5)2, x ? 5

A.

f domain = (-?, ?); range = (0, ?)
f-1 domain = (0, ?); range = (-?, ?)
B.

f domain = (5, ?); range = (0, ?)
f-1 domain = (0, ?); range = (5, ?)
C.

f domain = (-?, ?); range = (0, ?)
f-1 domain = (0, ?); range = (-?, ?)
D.

Has no inverse
f domain = (-?, ?); range = (0, ?)

Mathematics

Find the phase shift of the function.y = 4 sin 

A. 2? units down
B.  units to the right
C. 4? units up
D.  units to the left

Mathematics

Solve.On part of a scenic tour of underground caves, Dave and Neil started at an elevation of - 37 feet. They then rose 24 feet. What was their elevation at this point?

A. 13 ft B. -61 ft C. -13 ft D. 61 ft

Mathematics