Identify –0.666666 . . as rational or irrational.

The given number is a rational number.

Step-by-step explanation:

We know that a rational number is a number than can be expressed in the terms of p/q were p is an integer and q are rational numbers.

Now, we know that if a decimal expansion is non-terminating ( that is it does not end) and is repeating ( i.e. the terms after decimal repeats ) than it can also be expressed in terms of p/q.

Hence, the given number :

              -0.6666666

( Clearly it is a rational number as the expression is a decimal number which is non-terminating and is repeating and can be expressed in terms of p/q as -2/3 )

the right system of equations to describe the situation would

be on the form:

x1 = 8000 + y1*t

and

x2 = 8000 + y2*t

where x1 and x2 represents the total money of imogene and her

friend respectively at the end of t years.

now for the value of amount earned, y1 and y2:

y1=8000*0.08

y2=2000*√(t-2)

e

step-by-step explanation:

an equation by definition has to have two or more variables (x and 2 in this case)