The values of BMW after 2 years and 4 years according to the EXPONENTIAL FUNCTION are $33,462 and $20,358.28
Using the parameters given, we define an decreasing exponential function :
Where,
= initial amount ; r = Rate ; t = time ; A = final amount
Value after 2 years :
t = 2
A = 55000(1 - 0.22)²
A = 55000(0.78)²
A = $33,462
Value after 4 years :
t = 4
A = 55000(1 - 0.22)^4
A = 55000(0.78)^4
A = $20,358.28
Therefore, the value of BMW after 2 years and 4 years $33,462 and $20,358.28 respectively.
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Answer:
Step-by-step explanation:
Question (1)
x² + 10x + 12
= x² + 2(5x) + 5² - 5² + 12
= [x² + 2(5x) + 5²] - 5² + 12
= (x + 5)² - 25 + 12 [Since, a² + 2ab + b² = (a + b)²]
= (x + 5)² - 13
Question (2)
y² - 6y - 15
= y² - 2(3y) - 15
= y² - 2(3y) + 3² - 3² - 15
= [y² - 2(3y) + 3²] - 3² - 15 [Since, a² - 2ab + b² = (a - b)²]
= (y - 3)² - 3²- 15
= (y - 3)² - 9 - 15
= (y - 3)² - 24
8x+y=3
-8x -8x
--------------
y=-8x+3
7x-2y=-6
-7x -7x
------------------
-2y=-7x-6
----- -------
-2 -2
y=7/2x+3
Substitute -8x+3 in place of y
-8x+3=7/2x+3
+8x +8x
-----------———
3= 11.5x+3
-3 -3
———————
0 = 11.5x
—— ——
11.5 11.5
X=0
8x+y=3
8(0)+y=3
0+y=3
y=3
Check
8(0)+3=3
7(0)-2(3)=-6
0-6=-6
Answer is choice B
The volume of a right circular cylinder is V=πr²*h
V=π*2*2*h=100π
h=25cm
Answer:
Exponential Decay
Its end behavior on the left is as follows as x approaches negative infinity y approaches positive infinity. Its end behavior on the right is as follows as x approaches positive infinity y approaches negative infinity.
Step-by-step explanation:
We can graph the function by graphing two points when x=0 and x=1.
x=0 has 
x=1 has y=
This function starts with higher output values and decreases over time. This is Exponential Decay. Its end behavior on the left is as follows as x approaches negative infinity y approaches positive infinity. Its end behavior on the right is as follows as x approaches positive infinity y approaches negative infinity.
