Answer:
Step-by-step explanation:
As per the graph, the y-intercept is 20 which is the initial amount.
Another marked point has coordinates (4, 50).
<u>The slope is:</u>
<u>The equation of the line is:</u>
$20 is the initial deposit and weekly deposit is $7.5
Given Function: <span>x + 3y=1
Solve into y=mx+b form
subtract x from both sides
3y=1-x
Divide both sides by 3
y= 1/3 - x/3
The graph is neither vertical or horizontal. It has a decreasing slope </span>
Answer:
If 3 students walked, then according to the given ratios, 18 students would have taken the bus.
Step-by-step explanation:
Given: 3 Walkers
1:2 --> 3:6 walkers to subway
1:3 --> 6:18 subway to bus riders
Answer:
Y= 2e^(5t)
Step-by-step explanation:
Taking Laplace of the given differential equation:
s^2+3s-10=0
s^2+5s-2s-10=0
s(s+5)-2(s+5) =0
(s-2) (s+5) =0
s=2, s=-5
Hence, the general solution will be:
Y=Ae^(-2t)+ Be^(5t)………………………………(D)
Put t = 0 in equation (D)
Y (0) =A+B
2 =A+B……………………………………… (i)
Now take derivative of (D) with respect to "t", we get:
Y=-2Ae^(-2t)+5Be^(5t) ....................... (E)
Put t = 0 in equation (E) we get:
Y’ (0) = -2A+5B
10 = -2A+5B ……………………………………(ii)
2(i) + (ii) =>
2A+2B=4 .....................(iii)
-2A+5B=10 .................(iv)
Solving (iii) and (iv)
7B=14
B=2
Now put B=2 in (i)
A=2-2
A=0
By putting the values of A and B in equation (D)
Y= 2e^(5t)
