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Question: In a certain region, about 7% of a city's population moves to the surrounding suburbs each year, and about 5% of the suburban population moves into the city. In 2010, there were 800,000 residents in the city and 500,000 in the suburbs. Set up a difference equation that describes this situation, where x0 is the initial population in 2010 Then estimate the populations in the city and in the suburbs two years later, in 2012. (Ignore other factors that might influence the population sizes.)
The vertices of the trapezoid are the origin along with A(4p, 4q), B(4r, 4q), and C(4s, 0). Find the midpoint of the midsegment of the trapezoid.
Mai has 6 1/4 pounds of clay. Each clay figure she makes takes 5/6 pounds of clay. How many clay figures can she make? If she has any clay left over, explain how you can find how many pounds of clay she has left over.
Verify the Frame conjecture for solving the Reve's puzzle for n disks for as many integers n as possible by showing that the puzzle cannot be solved using fewer moves than are made by the Frame-Stewart algorithm with the optimal choice of k.
Suppose phi belongs to Aut(Zn) and a is relatively prime to n. If f(a) = b, determine a formula for f(x).
John has 15 more chocolate bars than Rick. Cathy has 9 times as many chocolate bars as John. If Rick has r chocolate bars, which equation below represents how many chocolate bars Cathy has, c?
Calculate the real part and the imaginary part of the complex polynomial p(z)= z^3-3z. Do the same for q(z)=(|z|^2)z + zbar. (here, z= x +iy, x,y belgon to R)
On the axes below, draw a non-linear function that is continuous and differentiable between the points (0, 3) and (4, 1). Sketch the secant line between these two points.
find a formula for the general term of a sequence , assuming that the pattern of the first few terms continues 1,6,16,31.
A football is punted at a 50 degree angle and a linear velocity of 20 meters per second. What is its horizontal velocity? What is its vertical velocity?
Construct a 95% CI for the true mean number of days of peak severity of symptoms for those who receive Echinacea treatment.
An equilateral triangle has vertices at (0,0) and (6,0) in a coordinate plane. what are the coordinates of the third vertex?
Can you recall any campaign moment where you could pinpoint the moment that consultants tried to change a candidate's image or message? Do you believe that the future of voting is online or Internet voting? If so, what mechanisms are currently in pla..
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