Can someone plz help Me?

How many solutions does the nonlinear system of equations graphed bellow have?

Math it's appreciated. (picture provided)

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?