$10,000 is invested at two different rates. $4,500 is invested at 4%, and the rest is invested at 5%. how much interest is earned at the end of one year? show all work for full credit.

Write the linear inequality shown in the graph. the gray area represents the shaded region. y> -3y+5 y> 3x-5 y< -3x+5 y< 3x-5

If y varies directly as x2 and y=6 when x=6, find the constant of variation.

Igure 1 and figure 2 are two congruent parallelograms drawn on a coordinate grid as shown below: 4 quadrant coordinate grid showing two parallelograms. figure 1 has vertices at negative 5, 2 and negative 3, 4 and negative 4, 7 and negative 6, 5. figure 2 has vertices at 5, negative 2 and 7, negative 4 and 6, negative 7 and 4, negative 5. which two transformations can map figure 1 onto figure 2? reflection across the y-axis, followed by reflection across x-axis reflection across the x-axis, followed by reflection across y-axis reflection across the x-axis, followed by translation 10 units right reflection across the y-axis, followed by translation 5 units down