Suppose a certain country's population has constant relative birth and death rates of 97 births per thousand people per year and 47 deaths per thousand people per year respectively. Assume also that approximately 30000 people emigrate (leave) from the country every year. Which of the following equations best models the population P = P(t) of the country, where t is in years?

Pax is right. On Apex the answer is dP/dt=0.05P-30000

is it (0.097 − 0.047) P − 30000?

How can I get promoted to supervisor at work? (Retail setting)

Here are some steps you can take to increase your chances of being promoted to a supervisor position in a retail setting:

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Why do lazy people always get promoted to supervisor and not the hard working people?

It is a common frustration that many hard-working individuals feel when they see others who appear to be less diligent or less qualified than they are being promoted to supervisor roles. However, it is important to recognize that there are many factors that contribute to a promotion decision, and hard work is just one of them. Some possible reasons why lazy people are promoted to supervisor roles may include:

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It is important to remember that promotions are not always objectively based on qualifications or work ethic, and the reasons for promotion may vary between organizations or individuals. Focusing on your own skills and accomplishments can provide a strong foundation for future opportunities. Expressing interest and seeking feedback from management can also help in understanding what specific skills may be required for promotion and how they can be acquired.

How can I be my manager's favorite?

Wanting to create a positive relationship with your manager is understandable. However, it is important to remember that being a "favorite" should not be your main goal. Your priority should be doing your job well, being a team player, and contributing to the success of the organization. Here are some tips to develop a positive working relationship with your manager:

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Remember that being a "favorite" can be subjective and is not always necessary. Focus on doing your job well and contributing to the success of the organization. Your hard work and dedication will ultimately speak for itself.

To determine the equation that models the population of the country, we need to take into account the birth rate, death rate, and emigration rate.

Let's start by considering the birth and death rates. The birth rate of 97 births per thousand people per year can be expressed as 0.097 births per person per year. Likewise, the death rate of 47 deaths per thousand people per year can be expressed as 0.047 deaths per person per year.

Next, let's consider the emigration rate of 30000 people leaving the country each year. Since the population decreases by 30000 due to emigration, the term representing emigration rate would be -30000.

Putting it all together, the equation that models the population P(t) of the country, where t is in years, is:

P(t + 1) = P(t) + (0.097 * P(t)) - (0.047 * P(t)) - 30000

Simplifying this equation, we get:

P(t + 1) = P(t) + (0.05 * P(t)) - 30000

So, the correct equation to model the population of the country is P(t + 1) = P(t) + (0.05 * P(t)) - 30000.

Nope, time is not even a factor in this.