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John baked a cake. Frank ate 1/6 of the cake. Anne ate 1/5 of what was left. Susan ate 1/4 of what was left after that. Jake ate 1/3 of what was left after that. Cindy ate 1/2 of what was left after that. How much of the original cake was left?
Bob deposits quarters and dollar bills into a vending machine to buy snacks. Find a recurrence relation for the number of ways he can deposit 25*n cents into the machine if the order matters.
Two cards are drawn from a standard deck of 52 without replacement. By drawing a tree diagram, find the probability the second card drawn is a king?
Using the shell method to find the volume of a solid revolving about line x = 2 by the region bounded by y=x^3 +x +1, y=1 and x=1.
The function f is graphed below on the interval [0,10].Give the number of valuesc between 0 and 10 which satisfy the conclusion of the mean value theorem for f.
Probability Average sale of product is 87,000 on a normal curve with a standard deviation of 4,000. What is the probability that sales will be less
A two-person game is played in which a fair coin is tossed until either the sequence HT (heads, tails) or the sequence TT (tails, tails) appears.
Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about y = -3.
Each glass of milk has 8 grams of protein, 11 grams of carbohydrates, and 260 milligrams of calcium. How many servings of each food should the dietitian provide the patient?
Find the linear equation for monthly revenue, R, in terms of x, the number of bagels sold each month. (c) How many bagels must be produced and sold to break-even? (d) What is Betty"s profit (loss) if she produces and sells 1600 bagels?
two large containers a and b of the same size are filled with different fluids. the fluids in containers a and b are
What % of the total accounts receivable is over 90 days?
Compute the volume of the solid generated by revolving the triangular region bounded by the lines
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