Provide an appropriate response.In five years a company will purchase equipment costing $100,000. The company decides to place a single deposit into a savings account now so that its future value will equal the cost of the equipment. If the account earns interest at an annual rate of 10% compounded continuously, determine the deposit to the nearest dollar.

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


$60,653

Mathematics

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Simplify the rational expressions.

A.
B.
C.
D.

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Solve the inequality. Express your answer using interval notation.|x| > -2

A. (-2, 2) B. {2} C. (-?, ?) D. no solution

Mathematics

Find the center, foci, and vertices of the ellipse. +   = 1

A. center at (0, 0)
foci at (0, -6) and (0, 6)
vertices at (0, -36), (0, 36)
B. center at (0, 0)
foci at (- 2, 0) and (2, 0)
vertices at (-6, 0), (6, 0)
C. center at (0, 0)
foci at (0, - 2) and (0, 2)
vertices at (0, -6), (0, 6)
D. center at (0, 0)
foci at (0, 6) and (4, 0)
vertices at (0, 36), (16, 0)

Mathematics