Solve the problem.The birth rate in a certain city is 2% per year and the death rate is 2.5% per year. Also, there is a net movement of population into the city at the rate of 4000 people per year. Let N = f(t) be the city's population at time t. Write the differential equation satisfied by f(t). Does this equation accurately represent this situation: 
Enter "yes" or "no".
Fill in the blank(s) with the appropriate word(s).
"yes"
Mathematics
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Sketch the graph of the function on log-log paper.y = 5x3
What will be an ideal response?
Mathematics
Factor the sum or difference of cubes.4c4 - 256cd3
A. c(c + 4d)(c2 - 4cd + 16d) B. 4(c + 4)(c2 - 4c + 16) C. 4c(c - 4d)(c2 + 4cd + 16d2) D. 4c(c + 4d)(c2 - 4cd + 16d2)
Mathematics
Solve the problem.A dish of lasagna baked at 400°F is taken out of the oven into a kitchen that is 71°F. After 7 minutes, the temperature of the lasagna is 332.1°F. What will its temperature be 20 minutes after it was taken out of the oven? Round your answer to the nearest degree.
A. 236°F B. 241°F C. 248°F D. 229°F
Mathematics
Use a commutative property to complete the statement.8x + 29 = 
A. 8x - 29 B. 29 + 8x C. 29x + 8 D. -8x + 29
Mathematics