Ms. Barrow invested all of her retirement savings in stocks and bonds. She invested $4,000 .00 more in the bonds than in the stocks. The bonds earned 12% annual interest and the stocks earned 5% annual interest per year. Her total annual income from these two investments was $814.00. How much did she invests in stocks and how much did she invest in bonds? Define your variable and set up the system of liner equations. Solve this system
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Browning labs is testing a new growth inhibitor for a certain type of bacteria. the bacteria naturally grows exponentially each hour at a rate of 6.2%. the researchers know that the inhibitor will make the growth rate of the bacteria less than or equal to its natural growth rate. the sample currently contains 100 bacteria.the container holding the sample can hold only 300 bacteria, after which the sample will no longer grow. however, the researchers are increasing the size of the container at a constant rate allowing the container to hold 100 more bacteria each hour. they would like to determine the possible number of bacteria in the container over time.create a system of inequalities to model the situation above, and use it to determine how many of the solutions are viable.

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Carly stated, “all pairs of rectangles are dilations.” which pair of rectangles would prove that carly’s statement is incorrect?