Solve the problem.The population of a particular city is increasing at a rate proportional to its size. It follows the function P(t) = 1 + ke0.09t where k is a constant and t is the time in years. If the current population is 22,000, in how many years is the population expected to be 55,000?

A. 69 yr
B. 10 yr
C. 4 yr
D. 6 yr


Answer: B

Mathematics

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Find the present value of the annuity. Assume that all interest rates are annual rates.Paul has agreed to contribute $116 per year for the next 3 years to his alumni association. However, he wishes to contribute this as one lump sum now. Assume an interest rate of 8%, and determine what lump sum he should contribute.

A. $309.14 B. $311.04 C. $307.24 D. $298.94

Mathematics

Determine whether the sequence defined by converges or diverges. If it converges, find its limit.

Mathematics

Write the number in scientific notation.0.000286

A. 2.86 × 104 B. 2.86 × 10-5 C. 2.86 × 10-4 D. 2.86 × 10-3

Mathematics

Solve the proportion and check. = 

A. 3
B.
C. 4
D. 3 

Mathematics