Answer:

Step-by-step explanation:
So we have the formula:

And we want to make r the subject of the formula.
So, first, let's multiply both sides by (r-3). The right will cancel. So:

Distribute the t:

Subtract rt from both sides. The left cancels:

Factor out an r from the right:

Divide both sides by (1-t). The right cancels:

Simplify the negatives:

Flip:

And we're done!
Answer:

Step-by-step explanation:
A exponential function is represented by

where a is the vertical stretch and b is the base and x is the nth
power of x
Since the first number corresponds with zero, that means our y intercept is the first number.
This means when x=0 , y=5 so let find the value of 5.

b to the 0th power equal 1 so


Our equation is for now

Now let plug in 1,30

Divide 5 by both sides

Anything to the 1st power is itself so b equal 6.
So our equation is
