The equation r = 4sin(θ) represents a circle. What is the radius of the circle, and what is the symmetry of the graph?

Over which interval is the graph of f(x) = x2 + 5x + 6 increasing?

X/y + 4y/x divided by x/y - 2y/x explain as in depth as you can how you simplfied the fractions. i don't know where to start on this : /

Onnie is considering doing some long term investing with money that she inherited. she would like to have $50,000 at the end of 30 years. approximately how much money would lonnie need to put into an account earning 6% interest compounded annually in order to meet her goal?