Solve the problem.Wildlife management personnel use predator-prey equations to model the populations of certain predators and their prey in the wild. Suppose the population M of a predator after t months is given by M = 750 + 125 sin twhile the population N of its primary prey is given by N = 12,250 + 3050 cos tFind the period for each of these functions.

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


12, 12

Mathematics

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Solve.A woman borrowed $20,000 at 14% interest compounded annually. If the loan was paid off in one lump sum at the end of 4 years, how much did she pay?

A. $22,800.00 B. $33,779.20 C. $31,200.00 D. $13,779.20

Mathematics

Analyze the graph and write the equation of the function it represents in standard form f(x) = a(x - h)2 + k. 

A. f(x) = -(x + 2)2 + 4 B. f(x) = (x + 2)2 - 4 C. f(x) = (x + 2)2 + 4 D. f(x) = -(x + 2)2 - 4

Mathematics

Simplify. ÷ 

A.
B.
C.
D.

Mathematics

Simplify the expression. 

A. 6
B. - 6
C. - 4
D.

Mathematics