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Mike ate brunch at a restaurant. The bill came to $46.41\$46.41. If he left a 15%15\% tip, how much was the tip? Round your answer to the nearest cent: $\$

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A leaky 10-kg10\text{-kg} bucket is lifted from the ground to a height of 14 m14\text{ m} at a constant speed with a rope that weighs 0.6 kg/m0.6\text{ kg/m}. Initially the bucket contains 42 kg42\text{ kg} of water, but the water leaks at a constant rate and finishes draining just as the bucket reaches the 14-m14\text{-m} level. How much work is done? (Use 9.8 m/s29.8\text{ m/s}^2 for gg.) Show how to approximate the required work (in J\text{J}) by a Riemann sum. (Let xx be the height in meters above the ground. Enter xi∗x_i^* as xix_i.)
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