When the price of a certain commodity is p dollars per unit, the manufacturer is willing to supply x hundred units, where LaTeX: 3p^2-x^2=123 p 2 − x 2 = 12. How fast is the supply changing when the price is $4 per unit and is increasing at the rate of 87 cents per month?

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?