A student is standing 12 feet from the base of a flagpole. The angle of elevation to the top
of the flagpole is 53º. How tall is the flagpole?

Four individuals pool money together to start a new business and agree to split the profits equally. n invests $6,000, x invests $2,000, y invests $8,000 and z invests $4,000. if the profits for the first month were $100,000, y receives than if the profits were divided in proportion to how much they invested.

Find the value of x. give reasons to justify your solutions! l, m ∈ kn

Find the volume of the solid obtained by rotating the region enclosed by the curves y=1x and y=7^-x about the x-axis. (use symbolic notation and fractions where needed.) volume =