Provide an appropriate response.Suppose that you can invest $5000 in a business that guarantees you the following cash flows: $3000 at the end of 2 years, $2000 at the end of 4 years, and $2000 at the end of 6 years. Assuming an interest rate of 6% compounded monthly, find the present value of the cash flows. Is the investment profitable?

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


$632.36; yes

Mathematics

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Identify the statement as simple or compound.The team leader has decided to take a vacation.

A. Simple B. Compound

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Suppose 100 people counted the number of cars passing an intersection in one hour. Due to error, not all people get the same value. The mean is 75 and the standard deviation is 1. Use the sketch to find how many people report the following. More than 74 cars

A. 16 people B. 34 people C. 50 people D. 84 people

Mathematics

The graph of a piecewise-defined function is given. Write a definition for the function. 

A.

B.
f(x) = 
C.

D.

Mathematics

Simplify the expression. Write the result without using negative exponents. (Assume all variables represent nonzero real numbers.)

A.
B. p2
C.
D. p8

Mathematics