Answer:
<em>A = $5183.36</em>
Step-by-step explanation:
<u>Compound Interest</u>
It occurs when the interest is reinvested rather than paying it out. Interest in the next period is then earned on the principal sum plus previously accumulated interest.
The formula is:

Where:
A = final amount
P = initial principal balance
r = interest rate
n = number of times interest applied per time period
t = number of time periods elapsed
Abdul deposited P=$4000 into an account with r=2.6% = 0.026 compounded quarterly. Since there are 4 quarters in a year, n=4. We are required to calculate the amount in the account after t=10 years.
Applying the formula:


A = $5183.36
Answer:

Step-by-step explanation:
Rewrite the differential equation as:

Integrate both sides with respect to x:


Integrate one more time both sides with respect to x:


Now that we find the solution, let's find its derivate:

Evaluating the initial conditions:


Replacing the value of the constants that we found in the differential equation solution:
