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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Evaluate the integral.
A. 
+ 
ln
+ C
B. 
+ 
tan-1
+ C
C. - 
- 
tan-1
+ C
D. 
- 
tan-1
+ C
Solve the problem.Suppose a business can sell x gadgets for p = 250 - 0.01x dollars apiece, and it costs the business 
dollars to produce the x gadgets. Determine the production level and cost per gadget required to maximize profit.
A. 10,000 gadgets at $150.00 each B. 111 gadgets at $248.89 each C. 13,750 gadgets at $112.50 each D. 11,250 gadgets at $137.50 each
Multiply. Simplify and leave the numerator and denominator in your answer in factored form.
? 
A. 
B. 
C. 1
D. 
Solve the problem.Two trains leave a train station at the same time. One travels north at 10 miles per hour. The other train travels south at 11 miles per hour. In how many hours will the two trains be 172.2 miles apart?
A. 4.1 hours B. 16.4 hours C. 8.7 hours D. 8.2 hours