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Simplify (a/b - b/a) times (a - a^2/a+b) a - a^2/a=b is a mixed number

Julia chooses a card at random from her set of cards. what is the probability that the card is labeled cat or hamster?

Imogene invested $8,000 in a bank account that pays 8 percent simple interest at the end of each year. her friend invested the same amount in stocks where the growth of the investment is represented as 2,000 times the square root of 2 less than the time lapsed in years. if y1 and y2 represent the amount earned in dollars and t is the time lapsed in years, which system of equations correctly represents the situation?