Question
Asked Nov 21, 2019
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In 1990 the populations of a country was estimated at 4 million. For any year the population is modeled by this logistic equations:  P(t)= (240)/(5+54.99e -.0208t) , where is the number of years since 1990. Estimate the year that the population will be 21 million.

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Expert Answer

Step 1

Given information

Population of country in 1990 = 4 million

Population for any year logistic equation

(240
P(t)=
where, tnumber of year since 1990
5+54.99e-0.020 St
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(240 P(t)= where, tnumber of year since 1990 5+54.99e-0.020 St

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Step 2

To determine

The year when population will be 21 million

Step 3

Calculation

Put p(t) = 21 in giv...

(240)
21=-
(5+54.99e0.0208t
240
-=11.428
21
5+54.99e
-0.0208t
54.99e0.0208t6.428
6.428
--0.1168
54.99
-0.020St
take In both side
Ine 0.0208t ln0.1168
-0.0208t -2.147
2.147
-=103.22
0.0208
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(240) 21=- (5+54.99e0.0208t 240 -=11.428 21 5+54.99e -0.0208t 54.99e0.0208t6.428 6.428 --0.1168 54.99 -0.020St take In both side Ine 0.0208t ln0.1168 -0.0208t -2.147 2.147 -=103.22 0.0208

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Calculus

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