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Question: Ted Davis has set the goal of accumulating $80,000 for his son's college fund, which will be needed 18 years in the future. How much should he deposit each year in a sinking fund that earns 8% annual interest? How much should he deposit each year if he waits until his son starts school (at age six) to begin saving? Compare the two payment amounts.
Prove that (sin2ω-cos2ω/tanωsinω + cosωtanω) = cosω - cotω cosω. Find a counterexample to show that the equation sec α - cos α = sinα secα is not an identity. Write tan(π/4 - β) as a function of β only
Formulate a nonlinear program representing the profit maximization problem for the bakery. What is the equation associated with the constraint regarding the amount of time available for baking?
A ship leaves port on a bearing of 31.0° north of east and travels 13.3 mi. The ship then turns due east and travels 4.2 mi. How far is the ship from port, and what is its bearing from port?
The Friendly Sausage Factory (FSF) can produce hot dogs at a rate of 5,000 per day. FSF suppies hot dogs to local restaurants at a steady rate of 250 per day.
Provide the year, the top five grossing movies, and their corresponding figures in addition to the mean, median, and mode. Use the adjusted gross column for your calculations.
About how many electrical engineers would you expect to have annual salaries between $80,500 and $86,500 - Find the z-score that corresponds to each salary. Determine whether any of these salaries are unusual.
A cylindrical tank with a radius of 12 ft and a height of 32 ft is filled with gasoline. Given a density of 670 kg/m3 determine the mass (lbm) of the gasoline in the tank.
(1) Prove or disprove the following: a: n^7-n is divisible by 7 b: n^9-n is divisible by 9 (2) Prove that a^3+b^3+c^3 is greater than or equal to 3abc (3) Find 1000 consecutive composite integers.
Idaho is shaped like a triangle with a base of approximately 320 miles and a height of approximately 520 miles. Calculate the area of Idaho and write the answer in scientific notation.
You are the process improvement manager and have developed a new machine to cut insoles for the company's top-of-the-line running shoes. You are excited because the company's goal is no more than 3.4 defects per million
What sample space and probabilities have we been using when discussing hashing? Using these, show that the event "key i hashes to position p" and the event.
On October 7, 2010, the Wall Street Journal8 reported that Android cell phone users had increased to 10.9 million by the end of August 2010 from 866,000.
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