Set of real numbers
Prove that the set of real numbers whose square is a rational number is not a subgroup of the Real Numbers under addition.
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Assume you plan to receive cash flow (CF) of $11,250 at the end of eight years from today. Calculate the present value today of this CF if the rate of interest is 4.2-percent.
Assume you deposit $529 today and earn 3.4-percent compounded annually. Compute the value of your deposit at the end of 15-years.
For the set X={m,n,p,q,r,s}, let R be relation on P(X), the power set of X, given by A R B if A and B have the same number of elments.
A friend asks you for the loan of $10000 and offers to pay you back at the rate of $900 for each month for 16 months. Using an annual interest rate of 8%, determine the net present value (to you) of loaning your friend the money. Repeat using
Let A denote the set of names of streets in St. John's Newfoundland, and B denote the names of all the residents of St. John's. Interpret the Cartesian product A x B.
Compute the net present value of a business deal that costs $3300 today and will return $2300 at the end of this year and $1300 at the end of the following year. Use an interest rate of 9%.
Explain the rationale for utilizing probability concepts. Is there more than one type of probability? If so, describe the different types of probability.
Determine a formula for derivative of product of n functions, and provide a detailed proof by induction (supposing the product rule for the drivative of two functions.)
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