Determine whether the statement is true or false. If it is true, give two examples to illustrate it. If it is false, give a single counterexample.If the price of an air conditioner is raised by 17% and then lowered by 17%, the price will be the same as the original price.
What will be an ideal response?
False. Possible counterexample: Let the original price be $1000. After the price is raised, it will be After this is reduced by 17% it will be
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Find the probability.A bag contains 6 cherry, 3 orange, and 2 lemon candies. You reach in and take 3 pieces of candy at random. What is the probability that you have at least 2 orange candies? Round to the nearest ten-thousandth.
A. 0.4909 B. 0.5758 C. 0.1515 D. 0.3362
Solve the problem.When 4 times a number is subtracted from 7 times the number, the result is 21. What is the number?
A. 3 B. 0.6 C. 7 D. -7
Solve the problem.As part of her retirement savings plan, Patricia deposited $100 in a bank account during her first year in the workforce. During each subsequent year, she deposited $45 more than the previous year. Find how much she deposited during her twentieth year in the workforce. Find the total amount deposited in the twenty years.
A. $1000; $22,000 B. $955; $10,550 C. $955; $21,100 D. $1000; $11,000
Solve.Martha can rake the leaves in her yard in 3 hours. Her younger brother can do the job in 5 hours. How long will it take them to do the job if they work together?
A. hr
B. hr
C. 5 hr
D. hr