Nuray's son Jeremy is $10$ years old and is learning the concept of simple interest at school. Nuray thought it would be a good time to introduce her son to the concept of compounding interest. She challenged her son to find the difference in interest between a simple interest loan of $$10,000$ at an annual interest rate of $6\mathrm{.}5\%,$ and the same loan at $6\mathrm{.}5\%$ compounded monthly, both over $10$ years. Calculate the difference.

Question $3$Select one:

a$.$

$$650$

b$.$

$$1,350$

c$.$

$$2,622$

d$.$

$$1,542$

e$.$

$$1,839$