Solve the problem.How much money must be put into a savings account now at 4% interest compounded semiannually so as to have $32,500 twelve years from now?[(1.02)12 ? 1.27, (1.02)24 ? 1.61, (1.04)12 ? 1.60, (1.06)24 ? 2.56]

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


$20,186.34

Mathematics

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Select the function that matches the given graph.

A. y = (x + 3)2 + 1 B. y = x2 - 3 C. y = (x + 3)2 - 1 D. y = (x - 3)2 + 1

Mathematics

Solve the problem.In one study the maximum heart rates of conditioned athletes were examined. A group of athletes was exercised to exhaustion. Let x represent an athlete's heart rate five seconds after stopping exercise and y represent an athlete's heart rate ten seconds after stopping exercise. It was found that the maximum heart rate H for these athletes satisfied the following two equations.  H = 0.491 x + 0.468 y + 11.2  H = -0.981 x + 1.872y + 26.4If an athlete had a maximum heart rate of H = 169, determine the value of y graphically to the tenths place.

A. y = 159.5 B. y = 163.6 C. y = 163.9 D. y = 163.2

Mathematics

Add and subtract as indicated. Simplify and leave the numerator and denominator in your answer in factored form. - 

A.
B.
C.
D.

Mathematics

Find the limit. f(x), where f(x) = 

A. -? B. 1 C. ? D. -2

Mathematics