Provide an appropriate response.Suppose that you can invest $10,000 in a business that guarantees you the following cash flows: $5000 at the end of 2 years, $4000 at the end of 4 years, and $3000 at the end of 6 years. Assuming an interest rate of 7.25% compounded annually, find the net present value of the cash flows. Is the investment profitable?

Fill in the blank(s) with the appropriate word(s).


-$658.68; no

Mathematics

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Solve the problem.Find the 13th pentagonal number that corresponds to the following dot sequence.

A. 169 B. 247 C. 91 D. 260

Mathematics

Write a formula for the nth term of the arithmetic sequence. Use the formula to find the 20th term of the sequence.24, 20 , 16, 12, . . .

A. an = 4n - 24; a20 = 56 B. an = 28 - 4n; a20 = -52 C. an = 24 - 4n; a20 = -56 D. an = 4n - 28; a20 = 52

Mathematics

Three players (one divider and two choosers) are going to divide a cake fairly using the lone divider method. The divider cuts the cake into three slices (s1, s2, and s3).If the choosers' declarations are Chooser 1: {s2 , s3} and Chooser 2: {s1 , s3}, which of the following is not a fair division of the cake?

A. Chooser 1 gets s1; Chooser 2 gets s3; Divider gets s2. B. Chooser 1 gets s2; Chooser 2 gets s3; Divider gets s1. C. Chooser 1 gets s2; Chooser 2 gets s1;Divider gets s3. D. Chooser 1 gets s3; Chooser 2 gets s1; Divider gets s2. E. none of these

Mathematics

Answer the question or solve the problem.Under what conditions must the inequality symbol be reversed when solving an inequality?

What will be an ideal response?

Mathematics