Solve the problem.A chair manufacturing company has two different factories. The profit function for Factory I when x chairs are manufactured and sold is as follows: P(x) = -0.05x2 + 20x - 500The profit function for Factory II when x chairs are manufactured and sold is as follows: P(x) = -0.05x2 + 30x - 2500For what number of chairs is the profit the same at both factories, and what is the profit?
A. 200 chairs; $1500
B. 0 chairs; $0
C. 100 chairs; $1000
D. 300 chairs; $2000
Answer: A
Mathematics
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Use the method of variation of parameters to solve the differential equation.D2y - 16y = e-4x
A. y = C1e-4x + C2e4x + 
xe-4x
B. y = C1e-4x + C2e4x - 
xe4x
C. y = C1e-4x + C2e4x - 
xe-4x
D. y = C1e-4x + C2e4x - 
xe-4x
Mathematics
Add or subtract, as indicated.38
- 25
A. 12
B. 12
C. 13
D. 11
Mathematics
Express the number as indicated.A location has an elevation of 163 feet below sea level. Express this elevation as an integer.
A. 163
B. 
C. -163
D. 163.0
Mathematics
Solve the problem.Over time a house worth $60,000 depreciates by 2% annually. What will the value be in 20 years?
Fill in the blank(s) with the appropriate word(s).
Mathematics