Determine whether the function is continuous at the given point c. If the function is not continuous, determine whether the discontinuity is removable or nonremovable. f(x) =
; c = 0
A. Discontinuous; nonremovable
B. Discontinuous; removable define f(0) = 0
C. Continuous
D. Discontinuous; removable define f(0) = 1
Answer: D
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Part of $7,000 is invested at 10%, another part at 11%, and the remainder at 12% yearly interest. The total yearly income from the three investments is $795. The sum of the amounts invested at 10% and 11% equals the amount invested at 12%. How much is invested at each rate?
A. $1,000 at 10%, $2,500 at 11%, and $3,500 at 12% B. $500 at 10%, $2,000 at 11%, and $4,000 at 12% C. $1,500 at 10%, $2,000 at 11%, and $3,500 at 12% D. $500 at 10%, $2,500 at 11%, and $4,000 at 12% E. $1,500 at 10%, $3,000 at 11%, and $3,000 at 12%
Convert as indicated.68.40 m to millimeters
A. 68,400 mm B. 6840 mm C. 0.684 mm D. 0.0684 mm
Use Gaussian elimination to find the complete solution to the system of equations, or state that none exists. x + y + z = 7 x - y + 2z = 7
A. {(4, 1, 2)}
B. {(- z + 7,
z, z)}
C. {(8, -3, 2)}
D. {(-3z + 14, 2z - 7, z)}
Solve the problem.Ozone levels inside a building should not exceed 50 parts per billion (ppb). In a scientific study, an air filter was able to remove 37% of the ozone entering a building. Approximate the range of ozone concentrations in outside air that this filter will reduce to an acceptable level.
A. At most 79 ppb B. between 63 and 79 ppb C. At least 79 ppb D. At most 95 ppb