<span>7<span><span>x/2</span>+10</span></span><span> So this is how it looks like?</span>
Answer: No, it is not a solution. It makes the first equation true, but the second equation is false when (x,y) = (16, 1)
To check a possible solution, we replace the variable letters with their actual numbers. The given solution is (x,y) = (16,1) so x = 16 and y = 1 pair up. We'll replace x with 16, and replace y with 1.
Do so with the first equation and simplify
y = (-1/4)*x + 5
1 = (-1/4)*16 + 5
1 = -4 + 5
1 = 1 ... true
And repeat for the second equation
y = (1/6)*x - 2
1 = (1/6)*16 - 2
1 = 2.667 - 2
1 = 0.667 .... false
The equation above is false, so the original equation is false when (x,y) = (16,1). This proves the point is not on the line.
So overall, (16,1) is not a solution to the system.
0.25 ft equals 0.083 yd (0.25/3 ft per yd)
4 ft equals 1.33 yd
200 ft equals 66.6 yd
0.083 x 1.33 x 66.6 = 7.35 cubic yards
Answer:
<em>C(12)=$570.18</em>
<em>C(20)=$57.08</em>
Step-by-step explanation:
<u>Exponential Decay Function</u>
The exponential function is often used to model natural growing or decaying processes, where the change is proportional to the actual quantity.
An exponential decaying function is expressed as:

Where:
C(t) is the actual value of the function at time t
Co is the initial value of C at t=0
r is the decaying rate, expressed in decimal
The depreciation of goods is often modeled as an exponential function. The new car costs $18,000 and its price depreciates at r=25%= 0.25 every year.
The depreciation model is:

Operating:

At t=12 years, the price will be:

C(12)=$570.18
At t=20 years, the price will be:

C(20)=$57.08