Use the model below to estimate the average annual growth rate of a certain country's population for 1950, 1988, and 2010, where x is the number of years after 1900. y-0.0000082x.0.00232x-0.168x + 8.334 The estimated average annual growth rate of the country's population for 1950 ls (Round to three decimal places as needed)

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Q: The population of the world in 1987 was 5 billion and the continuous growth rate was estimated at…

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Q: Jane currently pays a $723 premium for health insurance. If the premium increases at a rate of…

A: P= pert

Q: In 1960, per-capita GDP in Japan was 1/3 of that in the UK. By 1990, Japan and the UK had equal GDP…

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Q: Personal care aid is an occupation that is growing quickly. Assume that, in a certain region there…

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Q: Use a growth rate of 1.4​% to predict the population in 2061 of a country that in the year 2006 had…

A: Given, the population in 2006 = 100 million                           Growth rate(r)=1.4%=0.014

Q: A colony of bacteria is increasing at the rate of 15% each hour. There are 3,500 bacteria in the…

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Q: Complete the table shown to the right for the population growth model for a certain country. k=…

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Q: The population of a city is given by the following equation. The growth rate is:

A: The population of a city is given by the following equation , P=500e0,05t From this equation to find…

Q: A deposit earns interest at a rate of r percent compounded continuously and doubles in value in 10…

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Q: An investment earns an annual interest rate of 4.6%. What continuous annual interest rate will…

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Q: If the population of a Nigeria doubles in 9 years, find the growth rate k. Assume that the population…

A: So the equation for the exponential population with growth rate k is given by: Where, A= initial…

Q: How long, to the nearest year, will it take an investment to triple if it is continuously compounded…

A: The objective is to the nearest year, it will take an investment to triple if it is continuously…

Q: The population of a certain rodent at a dump site can be modeled by the exponential function…

A: The objective of the question is determine the population in the year of 2000.

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.