Set up the linear programming problem.The Jillson's have up to $75,000 to invest. They decide that they want to have at least $40,000 invested in stable bonds yielding 6% and that no more than $20,000 should be invested in more volatile bonds yielding 12%.(a) Using x to denote the amount of money invested in the stable bonds and y the amount invested in the more volatile bonds, write a system of linear inequalities that describes the possible amounts of each investment.(b) Graph the system and label the corner points. 

What will be an ideal response?


(a)  

?
(b)

Mathematics

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Find the distance between the two points on the coordinate plane. If necessary, round the answer to the nearest thousandth. and 

A.  ? 0.667 units
B.  ? 1.009 units
C.  ? 0.991 units
D. 15 units

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Use trigonometric identities to find the exact value.sin 130° cos 70° - cos 130° sin 70°

A.
B.
C.
D.

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Find the domain and range of the inverse of the given function.f(x) = 5 - x2 ; x ? 0

A. Domain and range: all real numbers B. Domain: (-?, 5]; range: range: [0, ?) C. Domain: all real numbers; range: (-?, 5] D. Domain: all real numbers; range: [-5, ?)

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Write decimal notation.-4

A. -4.57 B. -4.057 C. -9.7 D. -4.0057

Mathematics