Compound and Continuous Interest

Each of the problems below is a link. If you click on the problem, it will take you to a YouTube video of a full, step-by-step solution for the problem. You may try these problems as practice and use the videos to check your answer, or you can just watch the videos to see more worked-out example problems.

If $4,000 is borrowed at a rate of 6% interest per year, compounded monthly, find the amount owed in: 10 years, 20 years, 30 years, 40 years, and 50 years.
If we invested $100,000 at 2% interest per year, compounded monthly, how much would we have in 30 years? What if the interest rate was 4%? What if it was 6%?
How much money must be invested in an account earning 4% interest per year, compounded quarterly, in order to have $10,000 in 10 years?
How much money must be invested in an account earning 5% interest per year, compounded continuously, in order to have $5,000 in 5 years?