Answer: [tex]1,00,000(1+0.042)^x[/tex]
Step-by-step explanation:
Given
The initial population of a city is [tex]P_o=1,00,000[/tex]
The annual growth rate is [tex]4.2\%[/tex]
after 1 year it is
[tex]\Rightarrow P_1=1,00,000+4.2\%\times 1,00,000\\\Rightarrow P_1=1,00,000(1+0.042)[/tex]
after 2 years, it is
[tex]\Rightarrow 1,00,000(1+0.042)+4.2\%\times 1,00,000(1+0.042)\\\Rightarrow 1,00,000(1+0.042)^2[/tex]
after x years it is
[tex]\Rightarrow P_x=1,00,000(1+0.042)^x[/tex]