4x The population of City A is modeled by the equation P(t)=5,000(1.04)^t where P(t) represents the population after t years. Is it possible for the population to be 10,000 after 8 years? x It is possible. x It is not possible

## Step 1<br />The problem provides us with the equation \(P(t)=5,000(1.04)^{t}\), which models the population of City A over time. Here, \(P(t)\) represents the population after \(t\) years.<br /><br />## Step 2<br />We are asked to determine if the population can reach 10,000 after 8 years. To do this, we substitute \(t = 8\) into the equation.<br /><br />## Step 3<br />Substituting \(t = 8\) into the equation, we get \(P(8)=5,000(1.04)^{8}\).<br /><br />## Step 4<br />Calculating the above expression, we find that \(P(8)\) is approximately 10,000.