Answer:
3.045%.
Step-by-step explanation:
We are asked to find the corresponding effective interest rate for 3% per year compounded continuously.
We will use effective interest formula to solve our given problem.
, where,
r = Effective interest rate,
e = Mathematical constant,
r = Interest rate in decimal form.
Let us convert given interest rate in decimal form.

Substitute values:




Convert into percentage:

Therefore, the corresponding interest rate would be 3.045%.
We have the expression

We can already simplify x because it's both on the numerator and denominator

Now we can simplify 425/25 = 17

Remember that

Then

The final result is
A^2 - b^2 ...difference of squares
so
9m^4 - 49n^6 = (3n^2)^2 - (7n^3)^2
answer
C. 9m^4 - 49n^6