terrace buys a new car for 20,000 the value of the car depreciates by 15% each year if f(x) represents the value of the car after x years which function represents the care value

f(x)= 20,000or 20,000 (0.85) to the power of x.

Step-by-step explanation:

 Okay, so based on the question, we know that the car is depreciates its value every year. In case you don't know, when something depreciates, it is becoming smaller or less in value. It comes to a point where the item becomes worthless. Recall, that the formula for an exponential function is y= a(b) to the power of x. A is your initial value or your y-intercept. B is the multiplicative rate of change. Lets put 20,000 for a because that is value of the car that terrace purchased before any depreciation happened. Since it says that it is decaying every year, we don't want to graph how much it is decaying, we want to graph what the value is of the car. So, do 100 percent minus 15 which is 85 percent. You need to change it into decimal, so it is 0.85. Therefore, there is your function.

Hope this helps!

184.86 sq. cm.

Step-by-step explanation:

The following triangular prism has a base that is a right triangle.  

We need to describe the net of this triangular prism.

The need of triangular prism contains three rectangles and two congruent right angles as shown in the below figure.

Now, using the net we have to find the surface area of the prism.

Area of a rectangle is

Area of a triangle is  

So, total area is

Therefore, the surface area of the prism is 184.86 sq. cm.