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Solve for r in the following formula: Do not write “r=” in your answer.  Show all work on your paper.

Construct a truth table for (

Use the following preference table. 9 16 22 14 1st Choice Bob Tim Elsa Bob 2nd Choice Tim Elsa Tim Elsa 3rd Choice Elsa Bob Bob Tim Who wins if the plurality method is used?  Show work on paper.

A carpet store allows customers to choose carpet based on color, thread type, and thickness. If a customer can choose among 10 colors, 5 thread types, and 2 thicknesses, how many different types of carpet could the customer choose?  Show all work on paper.

A small triangular piece of metal is needed to add support to a skateboard frame. The shape of the piece is shown in the figure above. If the angle θ is known to be 45 degrees, what is the height to the nearest tenth of a centimeter? (Do not include units in your answer)  Show work on paper.

Solve for r in the following formula: Do not write “r=” in your answer.  Show all work on your paper.

Michelle collected data from a random sample of 1000 homeowners in her state asking whether or not they use gas in their homes. Based on the results, she reports that 50% of the homeowners in the nation use gas in their homes. Why is this statistic misleading?  You do not have to show work for this question.

Suppose you find an annuity that pays 8% annual interest, compounded annually. If you invest in this annuity and contribute $10,000 annually for 20 years, how much money will be in the annuity after 20 years? Enter your answer rounded to the nearest hundred dollars and omit the dollar sign.  Show all work on paper.

Find the solutions to the following quadratic equation using the quadratic formula.  Use improper fractions if necessary.  Show all work on paper.

Referring to the table in Question 39.  The pairwise comparison method is used to determine the results of the election. Who is the winner?