in a certain​ region, there will be a need for 150,146 personal care aides in​ 2024, a growth of about 25​% over 2014 levels. How many personal care aides were there in this region in​ 2014?

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Q: Suppose that a university had an enrollment of 9000 students in 1991 and each year thereafter…

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Q: Dakota's body metabolizes caffeine at a rate of 13.1% per hour (so the amount of caffeine in…

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Q: A bacteria culture starts with 600 bacteria and doubles in size every half hour. Exercise (a) How…

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Q: Suppose the population of a city increases by 8.4% every 6 years. The current population is 124,000.…

A: Current population is: 124,000 Population increases by 8.4% every 6 years.

Q: The number of people in a small country town increases by 2% per year. If the population at the…

A: Solution :   Given that The principal population P0 = 12500 Increasing rate r = 2% = 2/100 = 0.02  n…

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Q: In 2010, there were 13,300 students at college A, with a projected enrollment increase of 1000…

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Q: small country emits 80,000 kilotons of carbon dioxide per year. In a recent global agreement, the…

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Q: A city has a population of 230000 people. Suppose that each year the population grows by 4% . What…

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Q: A total of $11,000 is invested in two different accounts. The first account at 6.5% simple interest…

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Q: The current population of a threatened animal species is 1.9 million, but it is declining with a…

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Q: 4. The number of people living in Canada rose by 1.2% to 38.5 million in 2021. If this population…

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Q: When a petroland oil well was first brought on line, it produced 1,900 barrels of crude oil a day.…

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Q: Suppose that a product currently sells for $24, with the price increasing at the rate of $5 per…

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Q: How much of a 102-mg sample would be remaining after 7 years? b) If the half-life were shorter than…

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Q: The population of Suka is currently 34.88 million people. Suka's current growth rate is 1.1% per…

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A: It is given that:

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A: The number of personal care aids in 2024 is 195,686, which is a growth of 29% over 2014.Denote y as…

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Q: In 1975, there were about 139 million vehicles (cars and trucks) and about 216 million people in the…

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

A: Consider that in 2014 the number of personal care aides is x.

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Q: Over the past 10 years (actually, 2007 to 2017), it is estimated that the population of China has…

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Q: The school population for a certain school is predicted to increase by 40 students per year for the…

A: It is given that, the school population for a certain school is predicted to increase by 40 students…

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A: To determine the time when the population is decreasing at a rate of 1560 people per year.

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A:

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.