1. What investment per quarter does Patrick need to make at the end of each quarter into his savings account over the coming 6 quarters to reach his vacation goal of ?$6,000 if he is getting 10?% APR on his? account?
2. Account X accumulates value using simple interest at an annual rate of 10%. Account Y accumulates value using compound interest at an annual effective rate of 8%. Find the time at which the two accounts have the same force of interest.