You are about to set up a new retirement savings account that earns interest at a 3.7% annual interest rate (APR). You want to make monthly contributions to that account from now until you retire. The goal is to save enough money so that you will be able to withdraw the money you need each month without depleting your principal (in reality, you will probably deplete your principal gradually). How much money do you need to contribute to the account each month?

guess at question:

a vertical line intersects the graph of g(x,y) = 0 at two points. what conclusion follows about the function f(x) implicitly defined by g(x,f(x)) = 0?

the domain of f(x) cannot include the x coordinate of any such vertical line.

informally, f(x) is not a function, and

g(x,y)=0 cannot be solved for y uniquely.

the relation r = {(x,y) such that g(x,y) = 0} is a function if

for all (a,b) ∊ r and (c,d) ∊ r, a=c implies b=d.

step-by-step explanation: