An actor invests some money at 8% simple interest, and $21 comma 000 more than four times the amount at 10% simple interest. The total annual interest earned from the investment is $49 comma 140. How much did he invest at each amount? Use the six-step method.

Solve each quadratic equation by factoring and using the zero product property. [tex]x^2+6x+8=0[/tex]

The circle below is centered at the point (3, 1) and has a radius of length 2. what is the equation?

Nthe opening scene of the movie raiders of the lost ark, indiana jones replaces a golden statue with a bag of sand. the platform on which the statue is placed is designed to detect the mass of the statue. if the bag of sand has a different mass than the statue, then a mechanism triggers and destruction ensues. the density of gold is about 20\text{ g/cm}^320 g/cm 3 20, space, g, slash, c, m, start superscript, 3, end superscript. the density of sand can be estimated at 2.5\text{ g/cm}^32.5 g/cm 3 2, point, 5, space, g, slash, c, m, start superscript, 3, end superscript. the gold statue can be modeled as a cylinder with height 25\text{ cm}25 cm25, space, c, m and radius 8\text{ cm}8 cm8, space, c, m. in terms of \piπpi, what is the mass of sand indiana jones needs to avoid triggering the mechanism?