Hello,
ln(y)=ln(x^(ln(x))=ln(x)*ln(x)=(ln(x))²
(ln(y))'=2ln(x)*1/x
(1/y)*y'=2ln(x) / x
y'=(2 ln(x) * x^(ln(x)) ) /x
Answer:
Patricia's account balance after thirteen years is $867.16
Step-by-step explanation:
This problem is on simple interest calculation
we know that the formula for simple interest is given as
A= P(1+rt)
Given that
P= $612.40
r= 3.2%= 0.032
t= 13 years
Applying the formula we have
A= 612.40(1+0.032*13)
A= 612.40(1+0.416)
A= 612.40(1.416)
A= 867.1584
A= $867.16