Answer: The required solution is
Step-by-step explanation: We are given to solve the following differential equation :
Let us consider that
be an auxiliary solution of equation (i).
Then, we have
Substituting these values in equation (i), we get
So, the general solution of the given equation is
Differentiating with respect to t, we get
According to the given conditions, we have
and
From equation (ii), we get
Thus, the required solution is
Answer:
118
Step-by-step explanation:
4x² + 3y
= 4(5)² + 3(6)
=4(25) + 18
= 100 + 18
= 118
The monthly rent of the apartment is x = 1310 dollars a month
Answer:
11.6
Step-by-step explanation:
<u>Solving with steps as below:</u>
- 31*r+1.1*(35−31)*r = 410.64
- 31r + 1.1*4r = 410.64
- 31r + 4.4r = 410.64
- 35.4r = 410.64
- r = 410.64/35.4
- r = 11.6
<u>Answer is:</u> r =11.6
Sheets / student = 120 / 25 = 4.8 sheets per student