The population (in millions) of  Canada in 2015 is 35.1 and the expected continuous annual rate of change k =0.008 (a) Find the exponential growth model P = Cekt for the population by letting t = 5 correspond to 2015. (b) Use the model to predict the population of the country in 2030. (c) Discuss the relationship between the sign of k and the change in population for the country.

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Q: 4. Determine the growth constant, k, of a population that is growing at a rate proportional to its…

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Q: An investment will generate income continuously at the constant rate of $1000 per year for 6 years.…

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Q: f) The population of a town grows at the rate of 3% per year (compounded continuously). How long…

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Q: The city of San Estaban had a population of 45,000 in 2015 (t=0) and was growing continuously at an…

A: Initial population =45000 Growth Rate=3%=0.03 At 2016, t=2016-2015=1 So the population in 2016 is:

Q: What happens to the rate of change of the exponential function y = ax as a becomes larger?

A: To explain the given problem

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Q: The population of minnows in the lagoon is 5,400, but the population will decay exponentially. If…

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Q: Determine the equivalent effective rate of a money compounded continuously at r=5%.

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Q: If we are modeling a herd of clk, with an initial population of 100, in a region with a carrying…

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Q: Consider a population that begins growing exponentially at a base rate of 4.1​% per year and then…

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Q: Find the present value Po of each amount P due t years in the future and invested at interest rate…

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Q: A ranch experienced growth of its gopher population at a 1.5% annual rate, compounded continuously.…

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Q: Find the present value for a $85,000 investment for 11 years at a compounded continuously at 3.2%.

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Q: Following the birth of a child, a parent wants to make an initial investment P, that will grow to…

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Q: An Asian country had a population of about 0.90 Billion people in 1995 and a growth rate of 1.3% per…

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Q: a car sells for $12,500 and one year later it is valued at $11,375. find the decay rate of the car

A: Explanation of the answer is as follows

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Q: In the future value of $1000 invested for n years at 12%, compounded continuously, is given by S=…

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Q: A company is considering expanding their production capabilities with a new machine that costs…

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Q: If an initial population of 32 grows exponentially at a rate of 50% per year, then what will the…

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Q: Suppose Shunreca Garner invested $8000 in stocks and the investment grew exponentially to $10000 in…

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Q: Suppose that a population in a particular city is 46,581 in 2010. What is the population after 15…

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Q: In the 2000 U.S. Census, a small city had a population of 55,000. By 2010, the population had…

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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.