A country's population and the growth rate in 2011 are given below. Use this information and an exponential model to estimate the country's population in the specified year. population $$ =144 $$ million; growth rate $$ =1.526 $$ percent; year, 2021 The size of the population in the 2021 will be about $$ \square $$ millith. $$ 28.57 \%, 8 $$ of 28 points (Round to the nearest hundredth as needed.

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**Step 1. Define the given values**

- Initial population: $$ P_0 = 144 $$ million  
- Annual growth rate: $$ 1.526\% $$ (as a decimal, $$ r = 0.01526 $$)  
- Time period: From 2011 to 2021 is $$ t = 10 $$ years

**Step 2. Write the exponential growth model**

The exponential growth model is given by  
$$
P(t) = P_0 \left(1 + r\right)^t
$$

**Step 3. Substitute the given values into the model**

$$
P(10) = 144 \left(1 + 0.01526\right)^{10} = 144 \left(1.01526\right)^{10}
$$

**Step 4. Compute the growth factor $$\left(1.01526\right)^{10}$$**

We approximate:
$$
\left(1.01526\right)^{10} \approx 1.1634
$$

**Step 5. Calculate the estimated population in 2021**

Multiplying the initial population by the growth factor:
$$
P(10) \approx 144 \times 1.1634 \approx 167.53 \text{ million}
$$

Thus, the estimated population in 2021 is about $$167.53$$ million.
The estimated population in 2021 is approximately 167.53 million.

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