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When the boat is 12 feet from the dock, the length of the rope from the boat to the dock is 3 feet longer than twice the height of the dock above the water.
A company that manufactures typewriter ribbons knows that the number of ribbons, x, it can sell each week is related to the price, p, of each ribbon.
Justin wants a fence three sides of a rectangular exercise yard for his dog. The fourth side of the exercise yard will be a side of the house.
Sam lives on a lot that he thought was a square, 157 feet by 157 feet. When he had it surveyed, he discovered that one side was actually 2 feet longer.
How much interest will you earn in your account over the next five years with continuous compounding?
Each subsequent row has 11 more seats than the previous row. If the total seats in the auditorium is 1183, how many rows are there in the auditorium?
McMoRan projects that in 2010 world grain supply will be 1.8 trillion metric tons and the supply will be only 3/4 of world grain demand.
Write the series for the distance the tortoise travels for the first few minutes of the race, where Sn represents the total distance traveled after n minutes.
A box with a square base has a surface area (including the top) of 3 m^2. Express the volume V of the box as a function of the width w of the base.
At 2:00 p.m. bike A is 4km north of point C and traveling south as 16km/h. At the same time, bike B is 2 km east of C and traveling east at 12km/h.
Graph the functions y = x and y = 2(sqrt of x) on the same graph. Show the intersection of these two graphs.
Consider the real number iteration scheme x_n+1 = f(x_n) for n = 1, 2, ... with x_1 given. In addition, suppose there is a number 0 < p < 1 st lf(x) - f(y)l
Using the formula for the sum of a geometric series, what is the sum of the first 10 terms?
You have decided to purchase some shares of stock for $1000. After five years, the value of your purchase has grown to $2000.
The price of a certain stock was $54 a share in April of this year. In November the price of the same stock was $38 a share.
Achmed and Ali were camel - drivers but one day they decided to quit their job. they wanted to become shepherds.
In a town election, the winning candidate had 220 more votes than the loser. If 810 votes were cast in all, how many votes did each candidate receive?
For the rational function (f) x = (2x2 + x – 6)/(x – 1) determine the equation of the oblique asymptote.
What observation can make about these sums? In particular, what number does it appear that the sum will always be smaller than?
Using the formula for the sum of an arithmetic series, what is the sum of the first 20 term?
The classic problem - put a penny on first square of a checkerboard, and then double the amount on each succeeding square.
Evaluate the functions for the values of x given as 1, 2, 4, 8, and 16. Describe the differences in the rate at which each function.
Graph 3x+2y=6. Where do the points cross and how is the pair figured out? Solve the linear inequality by graphing.
How many quarts of 60% alcohol solution must be added to 20 gallons of 20% alcohol solution to obtain a mixture that is 30% alcohol?
Theo wants to put a dinosaur border around the perimeter of his room. How many rolls of border must he buy if each one covers 10 ft?