The population of the municipality was 1792851 in 1996 , which was an increase by \( 2,35 \% \) from 1995 to 1996 . Determine the population of the municipality in 1995 .

To determine the population of the municipality in 1995, we can use the information provided about the increase in population from 1995 to 1996. Given: - Population in 1996 = 1792851 - Increase in population from 1995 to 1996 = 2.35% Let's denote the population in 1995 as \( P_{1995} \). The increase in population from 1995 to 1996 can be calculated using the formula: \[ \text{Increase} = \text{Population in 1996} - \text{Population in 1995} \] Since the increase is 2.35%, we can set up the equation: \[ 2.35\% \times P_{1995} = 1792851 - P_{1995} \] Now, we can solve for \( P_{1995} \) to find the population of the municipality in 1995. Solve the equation by following steps: - step0: Solve for \(P_{1995}\): \(2.35\%\times P_{1995}=1792851-P_{1995}\) - step1: Calculate: \(0.0235P_{1995}=1792851-P_{1995}\) - step2: Move the variable to the left side: \(0.0235P_{1995}+P_{1995}=1792851\) - step3: Add the terms: \(1.0235P_{1995}=1792851\) - step4: Divide both sides: \(\frac{1.0235P_{1995}}{1.0235}=\frac{1792851}{1.0235}\) - step5: Divide the numbers: \(P_{1995}=\frac{3585702000}{2047}\) The population of the municipality in 1995 was \( \frac{3585702000}{2047} \) people.