Answer:
(See attached graph)
Step-by-step explanation:
To solve a second-order homogeneous differential equation, we need to substitute each term with the auxiliary equation 
where the values of 
are the roots:
Since the values of are equal real roots, then the general solution is 
.
Thus, the general solution for our given differential equation is 
.
To account for both initial conditions, take the derivative of 
, thus, 
Now, we can create our system of equations given our initial conditions:
We then solve the system of equations, which becomes easy since we already know that 
:
Thus, our final solution is:
Given:
Total amount of Mingfa and her sister = $130
If Mingfa amount increased by $10, then the new amount is equal to three times of as much money as her sister.
To find:
How much money does Mingfa actually have?
Solution:
Let, Mingfa have $x and her sister has $y initially. Then,
...(i)
If Mingfa amount increased by $10, then the new amount is equal to three times of as much money as her sister.
...(ii)
Substitute the value of x from (ii) in (i).
Divide both sides by 4.
Putting in (i), we get
Therefore, Mingfa have $95.
When you have angle and its corresponding (opposite) side then you need to use law of sin. Problems 3,4,5(in 5 you need at first find angle X=180-92-62)
when you have two sides and angle between them, this is law of cos, problem 6,8
problem 7 you can use both, but if you can use both better to use law of sin, it is just easier
There would be 15 adults and 5 children in that group.
15 adults = $75
5 Children= $15
75+15= $90
