#1). Yasmine plans to attend a four-year public university. She expects she will need to contribute $9,000 annually to her educa
2 answers:
<h2>Answer:</h2>
Part 1 - option D is the answer.
<u>Part 1:</u>
Yasmine needs to contribute $9,000 annually to her education.
So, the best plan will be as follows:
A. $600 per month for 1 year, amount becomes
B. $350 per month for 2 years, amount becomes
C. $225 per month for 3 years, amount becomes
D. $200 per month for 4 years, amount becomes
We can see that plan D will save her required amount. Hence, option D is the correct answer.
<u>Part 2:</u>
Automatic withdrawal is the function given to account holders of any bank, where they can choose a particular date to auto debit their bill amounts.
Advantages are :
B). avoiding late payment fees
D). not having to find a stamp and a mailbox
Disadvantages are :
A). not having to keep track of the balance in a checking account(you surely have to check your bank positions timely )
C). having to share your account information
F). possible overdraft fees if there is not enough money in the account to cover the payment amount.
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Suppose we choose 
and 
. Then
Now suppose we choose
such that
where we pick the solution for this system such that
. Then we find
Note that you can always find a solution to the system above that satisfies as long as 
. What this means is that you can always find the value of 
as a (constant) function of 
.
Now suppose we choose
where we pick the solution for this system such that
Note that you can always find a solution to the system above that satisfies
Answer:
Step-by-step explanation:
The problem is very simple, since they give us the solution from the start. However I will show you how they came to that solution:
A differential equation of the form:
Will have a characteristic equation of the form:
Where solutions are the roots from which the general solution can be found.
For real roots the solution is given by:
For real repeated roots the solution is given by:
For complex roots the solution is given by:
Where:
Let's find the solution for using the previous information:
The characteristic equation is:
So, the roots are given by:
Therefore, the solution is:
As you can see, is the same solution provided by the problem.
Moving on, let's find the derivative of in order to find the constants
and
:
Evaluating the initial conditions:
And
Now we have found the value of the constants, the solution of the second-order IVP is: