The present values of ordinary annuities, annuities due, and deferred annuities were discussed in the textbook. Discuss the ways these three annuities are similar and dissimilar.

What will be an ideal response?


These annuities are similar in that all have equal periodic rents (cash flows) that occur in the future. Differences occur as to when those periodic rents begin. For ordinary annuities, the rents begin at the end of the first rent period. Rents, with an annuity due, begin at the beginning of the first rent period. Deferred annuities have cash flows that do not begin until at least the end of the second rent period.

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Orbitwheels are a cross between a skateboard and pair of inline skates. Riders insert each foot in a large wheel that rotates sideways. Orbitwheels differ from a skateboard in that they are self-propelled by the rider's wave-like motion so the need to push off the ground every few feet to get moving is eliminated. The product has been popular among some kids, especially athletic teen boys. Athletic teen boys could be described as the ________ for Orbitwheels.

Fill in the blank(s) with correct word

Find the exact value under the given conditions.sin ? = - ,   < ? < 2?; cos ? = - , ? < ? < Find sin (? - ?).

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Provide an appropriate response.Express the sum in summation notation.1 + 8 + 27 + 64 + 125 + 216

What will be an ideal response?

Provide an appropriate response.Evaluate 

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