Answer:
Original price of car = $20,000
Step-by-step explanation:
Let the original price of the car be 'x' dollars.
Given:
Here, the depreciation of the car is occuring exponentially as the value depreciates to half in every four years.
Worth of car after 8 years = $5000
Value after depreciation in 4 years = Half of original value = 
So, value of car after depreciation in another 4 years = Half of the value after 4 years = 
Therefore, final depreciated value after 8 years is 
.
But, as per question, final depreciated value is $5000. Thus,
Therefore, the original price of the car was $20,000.
Answer: A) 0 triangles
============================================================
Explanation:
Adding up the two smaller sides gets us 9.6+11.6 = 21.2, but this result is not larger than the third side of 21.2
For a triangle to be possible, we need to be able to add any two sides and have the sum be larger than the third remaining side. This is the triangle inequality theorem.
I recommend you cutting out slips of paper with these side lengths and trying it out yourself. You'll find that a triangle cannot be formed. The 9.6 cm and the 11.6 cm sides will combine to form a straight line that is 21.2 cm, but a triangle won't form.
As another example of a triangle that can't be formed is a triangle with sides of 3 cm, 5 cm, and 8 cm. The 3 and 5 cm sides add to 3+5 = 8 cm, but this does not exceed the third side. The best we can do is form a straight line but that's not a triangle.
In short, zero triangles can be formed with the given side lengths of 9.6 cm, 11.6 cm, and 21.2 cm
Answer:
6.
Step-by-step explanation:
Answer:
40 in
Step-by-step explanation:
For a width of w, the length is 3w and the area and perimeter are ...
A = LW = (3w)(w) = 3w^2
P = 2(L+W) = 2(3w +w) = 8w
We are given the area, so we can find w to be ...
75 in^2 = 3w^2
25 in^2 = w^2 . . . . . divide by 3
5 in = w . . . . . . . . . square root
Then the perimeter is ...
P = 8w = 8(5 in) = 40 in
