the population of a country is about 1.34 billion people. assume that the population of the country…

the population of a country is about 1.34 billion people. assume that the population of the country continues to grow exponentially at the growth rate of 0.5% per year. thus, the expected population of the country, in billions of people, t years after this year, is given by the function p(t)=1.34e^0.005t. determine the expected population of the country after 5 years. the population of the country after 5 years is billion people. (round to the nearest thousandth as needed.)

the population of a country is about 1.34 billion people. assume that the population of the country continues to grow exponentially at the growth rate of 0.5% per year. thus, the expected population of the country, in billions of people, t years after this year, is given by the function p(t)=1.34e^0.005t. determine the expected population of the country after 5 years. the population of the country after 5 years is billion people. (round to the nearest thousandth as needed.)

Answer

Explanation:

Step1: Identify the function and value of t

We have $P(t)=1.34e^{0.005t}$ and $t = 5$.

Step2: Substitute t into the function

$P(5)=1.34e^{0.005\times5}=1.34e^{0.025}$.

Step3: Calculate the value of the exponential part

Using a calculator, $e^{0.025}\approx1.02532$.

Step4: Calculate the final population

$P(5)=1.34\times1.02532\approx1.374$.

Answer:

$1.374$