Eight years ago, mary was half as old as jane will be when jane is one year older than tim will be at the time when mary will be five times as old as tim will be two years from now.

ten years from now tim will be twice as old as jane was when mary was nine times as old as tim.
when tim was one year old, mary was three years older than tim will be when jane is three times as mary was six years before the time when jane was half as old as tim will be when mary will be ten years older than mary was when jane was one-third as old as tim will be when mary will be three times as old as she was when jane was born.
how old are they now?

answer: 80,000

step-by-step explanation:

the population doubles every day.

10,000*2=20,000 day 4

20,000*2=40,000 day 5

40,000*2=80,000 day 6

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:

the terms of a geometric sequence can be found by beginning with the first term and multiplying by the common ratio repeatedly. a recursive formula for a geometric sequence with common ratio r is given by an=ran−1 a n = r a n − 1 for n≥2 n ≥ 2 .

step-by-step explanation: