1. After starting to turn significant profit, Lumyn Electronics decided that an investment account for their future expansion plans is now necessary. The company's goal is to expand to a major mall location for which $100,000 would be needed. If the investment account pays 12% interest compounded monthly, what would their initial investment have to be in order to reach their $100,000 goal in 5 years?
2. Lumyn Electronics is now using social networking to expand their reputation and reach new potential customers. The company has found that the number N of new potential customers in their 12,000 people community that have heard of their company can be modeled by the equation
N = 12,000(1 - e-0.0008t)
where t is the number of days elapsed since starting using social networking. How long will it take for 100 new potential customers to have heard of the company?