Solve the problem.Yearly sales at a certain department store follow the model
where y is the total sales in thousands of dollars and x is the number of years after the store opened. How many years after the store's opening will the total sales for the year first be less than
?
A. 11 yr
B. 13 yr
C. 465 yr
D. 3 yr
Answer: D
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Solve the problem.Each ounce of a sweetened yogurt contains 35 calories, while each ounce of a "light" version of the same yogurt contains 8 calories. Write a formula that gives the number of calories C in x ounces of sweetened yogurt. Write a formula that gives the number of calories C in y ounces of "light" yogurt. If a person eats a 4-ounce container of "light" yogurt rather than a 4-ounce container of sweetened yogurt, what is the calorie difference?
A. C = 35x; C = 8y; 108 B. C = 35 + x; C = 8 + y; 172 C. C = 35 ÷ x; C = 8 ÷ y; 43 D. C = 35x; C = 8y; 216
Convert the units using unit fractions.144 hr = days
A. 42 B. 48 C. 72 D. 6
Find the distance in the xy-plane between the two points. Round an approximate result to the nearest hundredth.(5.1, -1.4) and (2.1, -7.4)
A. 6.71 B. 2.24 C. 6 D. 13.42
Solve the problem.The force acting on a pendulum to bring it to its perpendicular resting point is called the restoring force. The restoring force F, in Newtons, acting on a string pendulum is given by the formula F = mg sin?where m is the mass in kilograms of the pendulum's bob, g ? 9.8 meters per second per second is the acceleration due to gravity, and ? is angle at which the pendulum is displaced from the perpendicular. What is the value of the restoring force when m = 0.7 kilogram and ? = 45°? If necessary, round the answer to the nearest tenth of a Newton.
A. 4.9 N B. 4.7 N C. 5.8 N D. 4.8 N