The "Verhulst model" for population growth specifies the reproductive rate of an organism as a function of the total population according to the following formula:

?



?

where p is the total population in thousands of organisms, r and k are constants that depend on the particular circumstances and organism being studied, and R(p) is the reproduction rate in thousands of organisms per hour. If and , find .

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A.
B.
C.
D.
E.


Answer: E

Mathematics

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Refer to the given map. Assume that the length of each east-west block is  mile and the length of each north-south block is  mile. Find the straight-line distance between the grocery store and the library.

A. 0.63 mi B. 0.48 mi C. 0.75 mi D. 0.56 mi

Mathematics

Find the monthly payment. Use the following table.Beneficiary  Age: 60Sex: MFace value: $15,000Settlement option: Fixed amountYears: 14

A. $114.45 B. $114.00 C. $126.90 D. $103.65

Mathematics

Graph the function, showing all asymptotes (those that do not correspond to an axis) as dashed lines. List the x- and y-intercepts.f(x) = 

A. x-intercept: (0, 0) , y-intercept: (0, 0) ;

B. x-intercept: (3, 0) , y-intercept:  ;

C. x-intercept: (3, 0) , y-intercept:  ;

D. x-intercept: (-3, 0) , y-intercept:  ;

Mathematics

Perform the indicated operations and simplify. 

A.
B.
C.
D.
E.

Mathematics