Solve the problem.According to a country's census, the population (to the nearest million) was 251 in Year 0 and 299 in Year 10. The projected population for Year 50 is 442. To construct a logistic model, both the growth and carrying capacity must be estimated. (a) Estimate r by assuming that t = 0 corresponds to Year 0 and that the population between Year 0 and Year 10 is exponential; that is, the population is given by
Round the value of r to four decimal places, if necessary.(b) Write the solution to the logistic equation using the estimated value of r and use the projected value P(50) = 442 million to find an estimation for the value of the carrying capacity K. Round to
the nearest million.
A. (a) r = -1.0175
(b) K = 292 million
B. (a) r = -0.0175
(b) K = 192 million
C. (a) r = 0.0175
(b) K = 969 million
D. (a) r = 1.0175
(b) K = 1,069 million
Answer: C
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A. 67% B. 0.6700% C. 1.0200% D. 102%
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A. .110 B. .335 C. .328 D. .330
Use a reference angle to find the value. cos 120°
A. -
B. -
C.
D. -
Rationalize the denominator and simplify.
A.
B.
C.
D.