Provide an appropriate response.As x moves from left to right though the point c = 7, is the graph of f(x) = x +
rising, or is it falling? Give reasons for your answer.
What will be an ideal response?
The derivative of the function is f'(x) = 1 - , which is positive for all x > 1. By the first derivative test, the function is increasing at c = 7.
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Solve the problem.Find the amount of time required for a $27,000 investment to double if the annual interest rate r is 2.5% and interest is compounded continuously. Round your answer to the nearest hundredth of a year.
A. 408.14 years B. 4.08 years C. 435.87 years D. 27.73 years
Express the number as the ratio of two integers.0.3333333 . . .
A. 1
B.
C.
D.
Solve the problem.Ryanne's imported car has a gas tank that holds 41 liters of gas. She filled her tank at the beginning of a trip and used 7 gallons during the trip. How many liters of gas remained in her tank at the end of the trip? Round your answer to the nearest hundredth if necessary.
A. 39.15 L B. 26.53 L C. 196.39 L D. 14.47 L
Solve the problem.The number of drops of supplement suggested for the Zywek plant is given by the expression: w + 50, where w is the size of its base leaf in inches. A Zywek plant gets 71 drops of supplement. Write an equation that will solve for the size of the base leaf in inches.
A. w = 50 + 71
B. w + 50 = 71
C. 71 + 50 = w
D. 71 + w = 50