A person with no more than $19,000 to invest plans to place the money in two investments. One investment is high risk, high yield; the other is low risk, low yield. At least $1000 is to be placed in the high-risk investment. Also, the amount invested at low risk should be at least two times the amount invested at high risk. Find and graph a system of inequalities.

1. convert. simplify your answer and write it as a proper fraction or as a whole or as a mixed number. 4oz=_ pounds 2. find 1/3 of 66

The weight v of an object on venus varies directly with its weight e on earth. a person weighing 120 lb on earth would weigh 106 lb on venus. how much would a person weighing 150 lb on earth weigh on venus?

Statement reason 1. δabc is similar to δced. given 2. 3. definition of slope 4. slope of slope of definition of slope 5. slope of × slope of multiplying the slopes 6. slope of × slope of substitution property of equality 7. slope of × slope of simplifying the right side the table contains the proof of the relationship between the slopes of two perpendicular lines. what is the reason for statement 2? a. parallel line segments that meet a common perpendicular line are proportional in length. b. the lengths of vertical and horizontal sides in congruent triangles are in a common ratio. c. trigonometric identities determine the lengths of the legs in a right triangle. d. corresponding side lengths in similar triangles are proportional in length.