Christina also invests $10,000 but instead chooses to invest into a passively managed index fund that is linked to the S&P 500, with an expense ratio of 0.2%. Her investment also earns a 7% rate of return.

In the past, professional baseball was played at the astrodome in houston, texas. the astrodome has a maximum height of 63.4 m. the height of a baseball t seconds after it is hit straight up in the air with a velocity of 45 ft/s is given by h = -9.8t2 + 45t + 1. will a baseball hit straight up with this velocity hit the roof of the astrodome? use the discriminant to explain your answer.

The directions on a sewing pattern say to cut an extra 15% of fabric to account for error. chloe needs 0.75 yard of fabric to make a skirt, and she cuts 0.1125 yard. did chloe cut the correct amount of fabric? why or why not? a. chloe cut enough fabric because she cut the amount of fabric for the skirt. b. chloe cut enough fabric because she cut enough fabric for the skirt and the amount of extra fabric. c. chloe did not cut enough fabric because she only cut the amount of fabric for the skirt. d. chloe did not cut enough fabric because she only cut the amount of extra fabric.

The equations 2x-5y = -5 11x-5y = 15 9x+ 5y = 5 and 14x+ 5y = -5 are shown on the graph below. which system of equations has a solution of approximately (-0.6. 0.8)?