Step-by-step explanation:
Let y1 and y2 be (e^x)/2, and (xe^x)/2 respectively.
The Wronskian of them functions be
W = (y1y2' - y1'y2)
y1 = (e^x)/2 = y1'
y2 = (xe^x)/2
y2' = (1/2)(x + 1)e^x
W = (1/4)(x + 1)e^(2x) - (1/4)xe^(2x)
= (1/4)(x + 1 - x)e^(2x)
W = (1/4)e^(2x)
Since the Wronskian ≠ 0, we conclude that functions are linearly independent, and hence, form a set of fundamental solutions.
ANSWER
$18,000
EXPLANATION
Ginny has $10,000 in a savings account.
The interest is 4% simple interest.
We want to calculate Ginny's total account balance after 20 years.
To do this, we will first caluclate the interest and then we will add it to the initial balance.
To calculate Simple Interest, we use:

P = principal = $10000
R = rate = 4%
T = time = 20 years
Therefore:

Therefore, her account balance after 20 years is:
Amount = $10000 + $8000 = $18,000
Y=2x, rise/run. start from 0,0, go up the y axis until you see that the line hits a solid point which is 1,2.
Answer:
31x+74y=p
31(9)+74(4)=p
279+256=525
Step-by-step explanation:
Answer:I think this is the nswer
Step-by-step explanation:
C. Your carpet is ruined because your roommate negligently left her wet boots, umbrella, and raincoat
sitting in a pile on the rug all afternoon