Answer:
[tex]9.543B[/tex]
Explanation: We have to find the world population in the year 2046, the formula for the population is as follows:
[tex]\begin{gathered} P(t)=\frac{11.8}{1+0.94e^{^{(-0.030t)}}}\Rightarrow(1) \\ 20\leq t\leq60 \end{gathered}[/tex]
The year 2046 translates to:
[tex]t=2046-2000=46[/tex]
Therefore the population would be:
[tex]\begin{gathered} \Rightarrow P(46)=\frac{11.8}{1+0.94e^{(-0.030\times46)}^}\operatorname{\Rightarrow}(1) \\ \Rightarrow P(t)=\frac{11.8}{1+0.94e^{-1.38}}=\frac{11.8}{1+\frac{0.94}{e^{(1.38)}}} \\ \Rightarrow P(46)=9.543 \end{gathered}[/tex]
Therefore the population in 2046 would be as follows:
[tex]9.543B[/tex]
