John opens a savings account with an initial deposit of $2000. He deposits $35 each week. Mary's savings account is represented by the function y = $45x + $2800 , where y is the balance of Mary's savings account after her initial deposit and a number of weekly deposits, x. Which statement BEST compares the rate of change for the two accounts? A) Mary deposited $800 less than John. B) John deposits $10 more each week than Mary. C) John deposits $10 less each week than Mary. D) Mary deposits $7 for every $9 John deposits.

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general 10 months ago 7288

Suppose the following are the city driving gas mileages of a selection of sport utility vehicles (SUVs). 19, 20, 19, 20, 18, 21, 17, 19, 24, 23, 21, 21, 17, 20, 20, 18 (a) Find the sample standard deviation (rounded to two decimal places). (b) In what gas mileage range does Chebyshev's inequality predict that at least 75% of the selection will fall? (Enter your answer using interval notation. Round your answers to two decimal places.) , (c) What is the actual percentage of SUV models of the sample that fall in the range predicted in part (b)? (Round your answer to two decimal places.) % Which gives the more accurate prediction of this percentage: Chebyshev's rule or the empirical rule? Chebyshev's rule empirical rule

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general 10 months ago 4464

A company determines that its marginal revenue per day is given by R' ( t ) , where R ( t ) is the total accumulated revenue, in dollars, on the tth day. The company's marginal cost per day is given by C' ( t ) , where C ( t ) is the total accumulated cost, in dollars, on the tth day. R' ( t ) = 80 e t, R ( 0 ) = 0; C' ( t ) = 80 - 0.8t, C ( 0 ) = 0 Find the total profit P ( T ) from t = 0 to t = 10 ( the first 10 days ) . P ( T ) = R ( T ) - C ( T ) = [R' ( t ) - C' ( t ) ] dt The total profit is $ . ( Round to the nearest cent as needed. ) Find the average daily profit for the first 10 days. The average daily profit is $ . ( Round to the nearest cent as needed. )

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general 10 months ago 1174