The population of a city was 6000. In the year 2019, there were 2050 new births in the city and 650 deaths. 1325 people migrated into to the city while 175 people left the city. What was be the population of the city at the end of the year 2019?

Options

A. 7200
B. 3450
C. 8550
D. 8900

Answer

To find the population of the city at the end of the year 2019, we will follow these steps:

### Step 1: Identify the Initial Population
The initial population of the city is given as 6000.

### Step 2: Calculate the Total Births
The number of new births in the city during 2019 is 2050.

### Step 3: Calculate the Total Deaths
The number of deaths reported in the city during 2019 is 650.

### Step 4: Calculate the Immigration
The number of people who migrated into the city is 1325.

### Step 5: Calculate the Emigration
The number of people who left the city is 175.

### Step 6: Calculate the Net Change in Population
To find the net change in population, we will add the births and immigration, and then subtract the deaths and emigration.

- **Total Increase**:
- Births + Immigration = 2050 + 1325 = 3375

- **Total Decrease**:
- Deaths + Emigration = 650 + 175 = 825

### Step 7: Calculate the Final Population
Now we can calculate the final population using the formula:

\[ \text{Final Population} = \text{Initial Population} + \text{Total Increase} - \text{Total Decrease} \]

Substituting the values we have:

\[ \text{Final Population} = 6000 + 3375 - 825 \]

Calculating this step-by-step:

1. First, add the initial population and the total increase:
\[ 6000 + 3375 = 9375 \]

2. Now, subtract the total decrease:
\[ 9375 - 825 = 8550 \]

### Conclusion
The population of the city at the end of the year 2019 is **8550**.