A decrease of 3% means the car is now valued at 97% of the original price. ( 100% -3% = 97%)
multiply original price by 97%
45,600 x 0.97 = 44,232
Answer: $44,232
The fraction is 36/42.
36 + 42 = 78
36/42 = 6/7
Answer:
Therefore the auxiliary solution is
![y=C_1e^{t}+e^{-t}[C_2sin \ t+C_3 cos \ t]](https://tex.z-dn.net/?f=y%3DC_1e%5E%7Bt%7D%2Be%5E%7B-t%7D%5BC_2sin%20%5C%20t%2BC_3%20cos%20%5C%20t%5D)
Step-by-step explanation:
To find auxiliary equation we have to put
in the given differential equation.
The degree of the differential equation is 3.
Therefore the number of root of the differential equation is 3.
Let
,
and
be three roots of the auxiliary equation.
- If three roots are real and equal.
Then 
- If three roots are real and distinct.
Then 
- If two roots imaginary and one root real ,
Then 
Now,
,
Given differential equation is

The auxiliary equation is








Here 
Therefore ,
![y=C_1e^{1.t}+e^{-1.t}[C_2sin \ (1.t)+C_3 cos \ (1.t)]](https://tex.z-dn.net/?f=y%3DC_1e%5E%7B1.t%7D%2Be%5E%7B-1.t%7D%5BC_2sin%20%5C%20%281.t%29%2BC_3%20cos%20%5C%20%281.t%29%5D)
![\Rightarrow y=C_1e^{t}+e^{-t}[C_2sin \ t+C_3 cos \ t]](https://tex.z-dn.net/?f=%5CRightarrow%20y%3DC_1e%5E%7Bt%7D%2Be%5E%7B-t%7D%5BC_2sin%20%5C%20t%2BC_3%20cos%20%5C%20t%5D)
The answer is no x-intercept/zero.
<span>A mountain climber ascended 3/4 of a kilometer in 1/12 of an hour. What was the mountain climber’s ascent rate in kilometers per hour?
Correct Answer: C. 9 Kilometers per hour </span>