a.
\Find the formula for the interest rate
required to achieve a balance of
in the account after
years is
Balance in the account after
years is
.
Consider the function as
.
Solve for
.

Thus, the formula for the interest rate
required to achieve a balance of
in the account after
years is
.
b.
\Find the interest rate
will yield a balance of
after
years.
Consider
.
Substitute
in the above formula.

Thus, the interest rate
will yield a balance of
after
years is
.
a. The formula for the interest rate
required to achieve a balance of
in the account after
years is
.
b. The interest rate
will yield a balance of
after
years is
.