P(t) =183/(1 + 3.314e–0.0392t )   (0 t 20) where P(t) is measured in millions and t is measured in years, with t = 0 corresponding to the beginning of 1990. People belonging to this age group are the targets of insurance companies that want to sell them annuities. What is the expected population of citizens aged 45-64 years in 2010?

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A: hintddxtan-1x=11+x2 or,∫11+x2dx=tan-1x

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A: Please see the answer below.

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A: Given that

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A:

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A: Check S(t) for all values of t

Q: .

A: We will find the temperature.

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A: P=10500t=3 years.r=9%=0.09To find A

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A:

Q: For a whole life insurance of 1000 on (x) payable at the end of the year of death: (a) 9z = 0.045…

A: Given  qx=0.045    and   qx+1=0.062 v=0.92 Ax+2=0.4523

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A: Answer

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A:

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A:

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A:

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A: Proceed as shown

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A: The differential equation can be rewritten as follows:

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A:

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A:

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A: Given: SA=1000qx=0.045qx+1=0.062v=0.95Ax+2=0.4523

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A: We know that

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A:

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A:

Q: A certain species of deer is to be introduced into a forest, and wildlife experts estimate the…

A: Given, A certain species of deer is to be introduced into a forest, and wildlife experts estimate…

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A: please comment if you need clarification. if you find my answer useful put thumbs up. Thank you.

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.