Answer:

Step-by-step explanation:
To solve this equation, one must apply the following logarithmic property:
if

then

Applying it to the problem at hand:

The solutions to the problem are 4/7 and -4/7.
*Note that this solution was pretty straight forward because log2(16) = 4 is a known value, otherwise, a change of base to a base ten log would be required.
Your vertex is (8,7)
First find the x intercept
-2/2a
X = 16/2
X = 8
Substitute the value x and solve for y
Youd get 7
Hence
(8,7)
-12
since Carmen owes 12, she loose 12.
-1.666666667. Hope this helped!