Answer:
The general solution of the differential equation is:
Step-by-step explanation:
We have a second order homogeneous differential equation 
We need to find the characteristic polynomial
Next, we find the roots as follows:
The roots of characteristic polynomial are 
and 
When the roots are real and equal the general solution of the differential equation is:
Answer: Charlie's down payment to purchase home is $30,000.
Step-by-step explanation:
Given that :- Charlie purchased a home for price = $300,000
Mortage company requires a down payment of =10% of price of home
Therefore, Charlie's down payment = 10% of price for home
⇒Charlie's down payment =10% of $300,000
⇒Charlie's down payment =0.1 × $300,000
⇒Charlie's down payment =$30,000.
Thus, Charlie's down payment to purchase home is $30,000.
First you move -15 over which makes it 7b=5b+12
then you move 5b over so then its 2b=12
divide b=6
Answer:
13
Step-by-step explanation:
Draw a picture!
You have a right triangle with legs of 5 and 12.
By the Pythagorean Theorem, the hypotenuse is √(5²+12²) = 13
