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Prove by induction that the sum of even numbers up to n is equal to n(n+2)/4. In other words: 2 + 4 + 6 + ..+n = n(n+2)/4 Hint: Since these are even numbers, the next number from n is n + 2?
The annual interest rate for a customers loan of $675 is 19.25%. What is the total dollar amount to be repaid on the loan, including principle and interest, for the year.
Two balls are chosen randomly from a basket containing 8 white, 4 black and 2 orange balls. Suppose that we win $2 for each black ball selected and we lose $1 for each white ball selected. Let X denote our winnings.
Find the median for the set of numbers.
Mr. Dave Jones manages the warehouse in inventory for Athleticks, a distributor or sports watches. From his experience, Mr. Jones knows that the PR-5 jogging watch has an average daily demand of 100 units and a performance cycle of 8 days. Mr. Jon..
Information technology (IT) solutions are often dependent upon the application of the discrete mathematics, probability, and statistical methods that you have been introduced to in this course. Click here to refer to an example about how an IT per..
what they represent in the context of the problem
The members of a flying club plan to share equally the cost of a $200,000 airplane. The members want to find five more people to join the club so that the cost per person will decrease by $2000. How many members are currently in the club?
The average time taken to produce a part at Factory A is 10 minutes. Given this, find the following probabilities. The probability that at least three minutes is taken
A rectangle made of square tiles measures 10 tiles long and 8 tiles wide. What is the width of a similar rectangle whose length is 15 tiles?
Find the demand function , where is the number of the spectators
at the instant when the water is 5 m deep find the rate at which the water is leaking out if the water level is falling at the rate of 0.1 m/hr.
The base of a solid is a circular disk with radius 7. Parallel cross sections perpendicular to the base are squares. Find the volume of the solid.
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