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Solve the following problems in essay form (1 to 2 paragraphs for each problem is fine). Please show all work and show how you came up with the answer. Please make sure that you address the following questions: (1) How did you get your answer? (2) What steps did you take? (3) Where did you begin? (4) Why did you do what you did? (5) Explain in detail what your answers to the problems are?
Problem 1 -
Mr. Smith invited 17 guests to his "Disco-reunion" party. He assigned each guest a number from 2 to 18, keeping 1 for himself. When everyone was dancing, he noticed that the sum of each couple's numbers was a perfects square. What was he number of Mr. Smith's partner?
Problem 2 -
Define "prime date" to be a date during the year where both the months (as a number, i.e. January is 1, February is 2, etc) and the day are both prime numbers. What is the average number of prime dates per week in one year?
the charge to rent a car is 29.95 per day plus .08 per mile. write an expression that shows the cost of renting a car
Solving problems into equation.
At Gwen's garage sale, all books were one price, and all magazines another price. Harriet bought 4 books and three magazines for $1.45 and June bought two books and five magazines for $1.25. What was the price of a book and what was the price of a..
Prepare an income statement for the month using absorption costing.
Solving a system by elimination. Solve each system of equations: Solving a system by elimination. Solve each system of equations:
Simplify the following inequality
The conditional probability.
problemtwo companies start up at the similar time. company a claims their annual profits follow a linear model px10x-7
Suppose that you have student loan of $80,000 with an APR of 7% for 30 years. If you decide to pay off the loan in 20 years instead of 30.
Find how many students are on the bus
Explain why T has at least one eigenvalue. We will denote this eigenvalue by λ.
Write the equation of the line that contains the point (-2, 3) and is perpendicular to y = 2x + 7. Write the equation in slope-intercept form.
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