Provide an appropriate response.The price of an item is reduced by 20% in a sale. Two weeks later the price is increased to 20% more than the sale price. Do you think that the item has been restored to its original price? If not, do you think its price is now higher or lower than the original price? Explain your thinking.
What will be an ideal response?
Answers will vary. Possible answer: The item has not been restored to its original price. Its price is now lower than the original price. The amount of the increase was less than the amount of the discount because 20% of the sale price is a smaller amount than 20% of the original price.
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Simplify the expression.
Solve the problem.A fire truck is en route to an address that is 6 blocks east and 11 blocks south of the fire station. Using the fire station as the pole and the east direction as the polar axis, express the fire truck's destination (i) in rectangular coordinates and (ii) in polar coordinates. Round the coordinates to the nearest hundredth. Express ? in degrees.
A. (i) (6, 11); (ii) (4.12, -61.39°) B. (i) (6, 11); (ii) (4.12, -28.61°) C. (i) (6, -11); (ii) (12.53, -61.39°) D. (i) (6, -11); (ii) (12.53, -28.61°)
Find the integral.
A. - ln
+ C
B. - 4 ln + C
C. sec2 (x4) + C
D. - ln
+ C
Find the smallest positive angle ? in degree measure for which tan
What will be an ideal response?