Evaluate using substitution.
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Write the first five terms of the geometric sequence with the given information.an = 7an-1; a1 = 4
A. 4, 11, 18, 25, 32 B. 7, 28, 196, 1372, 9604 C. 28, 196, 1372, 9604, 67,228 D. 4, 28, 196, 1372, 9604
Find the expected value for the random variable.A business bureau gets complaints as shown in the following table. Find the expected number of complaints per day.
A. 2.73 B. 3.01 C. 2.98 D. 2.85
Solve the problem.The line graph represents the gallons of water in a swimming pool after x hours. There is a pump that can either add or remove water from the pool. Find the slope of each line segment, and interpret each slope as a rate of change. Describe what happens to the amount of water in the pool.
A. Initially the pool contains is empty. The pump adds water at a rate of 150 gallons per hour for two hours until there are 300 gallons of water in the pool. For the next hour the pump removes water at a rate of 100 gallons per hour. Then the pump adds water at a rate of 100 gallons per hour for two hours, at which time the pool contains 400 gallons of water. B. Initially the pool contains 100 gallons of water. The pump adds water at a rate of 300 gallons per hour for two hours until there are 700 gallons of water in the pool. For the next hour the pump removes water at a rate of 100 gallons per hour. Then the pump adds water at a rate of 200 gallons per hour for two hours, at which time the pool contains 600 gallons of water. C. Initially the pool contains 100 gallons of water. The pump adds water at a rate of 150 gallons per hour for two hours until there are 400 gallons of water in the pool. For the next hour the pump neither adds nor removes water. Then the pump adds water at a rate of 100 gallons per hour for two hours, at which time the pool contains 500 gallons of water. D. Initially the pool contains 100 gallons of water. The pump adds water at a rate of 150 gallons per hour for two hours until there are 400 gallons of water in the pool. For the next hour the pump removes water at a rate of 100 gallons per hour. Then the pump adds water at a rate of 100 gallons per hour for two hours, at which time the pool contains 500 gallons of water.
An account contains A dollars and increases or decreases by R%. For A and R: (a) Find the increase or decrease in the value of the account. (b) Find the value of the account. (c) By what factor did the account value increase or decrease? A = $300, R = 190%
A. (a) $595; (b) $895; (c) 3.9 B. (a) $520; (b) $820; (c) 1.9 C. (a) $580; (b) $880; (c) 1.4 D. (a) $570; (b) $870; (c) 2.9