Principal: $49,000
Depreciation Rate: 50%
Depreciation Time: 5 years
Exponential Function: y = 49,000 (0.50)^x
Plug it in: y = 49,000 (0.50)^4
0.5^4= 0.0625
0.0625 x 49,000 = 3062.5
Value of Car after 20 years: 3062.5
Now, we need to find out how much the car decreases in ONE year.
Half of 3062.5 = 1531.25
1531.25/5 = 306.25
3062.5 - 306.25 = 2756.25
Value of car after 21 years: $2756 ---> 2800 (nearest hundred dollars my bad)
Hope this helps! Have a great day!
A(n)=ar^(n-1) and we can find the rate upon using the ratio of two points...
50/1250=1250r^2/1250r^0
1/25=r^2
r=1/5 so
a(n)=1250(1/5)^1=250
...
You could have also found the geometric mean which is actually quite efficient too...
The geometric mean is equal to the product of a set of elements raised to the 1/n the power where n is the number of multiplicands...in this case:
gm=(1250*50)^(1/2)=250
Answer:
D. 
F.
Step-by-step explanation:
We have been given an image of a triangle and we are asked to choose the remote interior angles of angle 1.
Since we know that remote interior angles are the two angles that are inside the triangle and opposite from the exterior angle.
We can see that angle 1 is exterior angle of our triangle and and angle 4 an 6 are opposite interior angles of angle 1.
Therefore, angle 4 and angle 6 will be remote interior angles of angle 1 and options D and F are correct choices.
Answer:
b < –2 or b > 2
Step-by-step explanation:
The given expresion is

By the definition of absolute value function.
|x|=x, if x>0
|x|=-x, if x<0
This implies that:

Divide the second inequality by -2 and reverse the sign

Option B is correct