
Differentiate both sides wrt
:

By the chain rule, we get


Solve for
:


J
I am 90% sure, if this is edge then this helps me to, I’m really just filling in the character requirement but it’s j, I think
Given:
The principal = $ 4000
The rate of interest = 22 %
To find the loan amount a) after 1 year and b) after 3 years.
Formula
Loan amount is

where,
A be the loan amount
P be the principal
r be the rate of interest and
t be the time.
Now,
a) Taking, P = 4000, r = 22, t = 1 we get,

or, 
Again,
b) Taking, P = 4000, r = 22 and t = 4 w eget,


Hence,
a) The amount of loan after 1 year is $ 4880
and b) The amount of loan after 4 year is $ 7263.39.